%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM208^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:27 AM UTC 2026
% Result : Theorem 1.16s 0.49s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM208^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:55:49 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.20/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.27/0.45 % (3883737)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.27/0.45 % (3883745)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1893347774:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.27/0.45 % (3883742)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2139994845:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.27/0.45 % (3883743)lrs+10_16_si=on:nwc=1.5:random_seed=1878516273:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.27/0.45 % (3883744)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3916894287:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.27/0.45 % (3883747)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1398768276:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.27/0.45 % (3883744)Instruction limit reached!
% 0.27/0.45 % (3883744)------------------------------
% 0.27/0.45 % (3883744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.45 % (3883744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.45 % (3883744)CaDiCaL version: 2.1.3
% 0.27/0.45 % (3883744)Termination reason: Instruction limit
% 0.27/0.45 % (3883744)Termination phase: shuffling
% 0.27/0.45 % (3883744)Time elapsed: 0.003 s
% 0.27/0.45 % (3883744)Peak memory usage: 10 MB
% 0.27/0.45 % (3883744)Instructions burned: 4 (million)
% 0.27/0.45 % (3883748)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.27/0.45 % (3883748)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.27/0.45 % (3883743)Instruction limit reached!
% 0.27/0.45 % (3883743)------------------------------
% 0.27/0.45 % (3883743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.45 % (3883743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.45 % (3883743)CaDiCaL version: 2.1.3
% 0.27/0.45 % (3883743)Termination reason: Instruction limit
% 0.27/0.45 % (3883743)Termination phase: Property scanning
% 0.27/0.45 % (3883743)Time elapsed: 0.009 s
% 0.27/0.45 % (3883743)Peak memory usage: 10 MB
% 0.27/0.45 % (3883743)Instructions burned: 18 (million)
% 0.27/0.45 % (3883748)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2490114199:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.27/0.45 % (3883746)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1493263241:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.27/0.45 % (3883754)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=500412466:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.27/0.45 % (3883746)Instruction limit reached!
% 0.27/0.45 % (3883746)------------------------------
% 0.27/0.45 % (3883746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.45 % (3883746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.45 % (3883746)CaDiCaL version: 2.1.3
% 0.27/0.45 % (3883746)Termination reason: Instruction limit
% 0.27/0.45 % (3883746)Termination phase: Property scanning
% 0.27/0.45 % (3883746)Time elapsed: 0.012 s
% 0.27/0.45 % (3883746)Peak memory usage: 11 MB
% 0.27/0.45 % (3883746)Instructions burned: 25 (million)
% 0.27/0.45 % (3883754)Instruction limit reached!
% 0.27/0.45 % (3883754)------------------------------
% 0.27/0.45 % (3883754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.45 % (3883754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.45 % (3883754)CaDiCaL version: 2.1.3
% 0.27/0.45 % (3883754)Termination reason: Instruction limit
% 0.27/0.45 % (3883754)Termination phase: shuffling
% 0.27/0.45 % (3883754)Time elapsed: 0.002 s
% 0.27/0.45 % (3883754)Peak memory usage: 10 MB
% 0.27/0.45 % (3883754)Instructions burned: 4 (million)
% 0.27/0.45 % (3883755)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2385208523:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.16/0.49 % (3883755)Instruction limit reached!
% 1.16/0.49 % (3883755)------------------------------
% 1.16/0.49 % (3883755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883755)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883755)Termination reason: Instruction limit
% 1.16/0.49 % (3883755)Termination phase: shuffling
% 1.16/0.49 % (3883755)Time elapsed: 0.004 s
% 1.16/0.49 % (3883755)Peak memory usage: 10 MB
% 1.16/0.49 % (3883755)Instructions burned: 6 (million)
% 1.16/0.49 % (3883747)Instruction limit reached!
% 1.16/0.49 % (3883747)------------------------------
% 1.16/0.49 % (3883747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883747)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883747)Termination reason: Instruction limit
% 1.16/0.49 % (3883747)Termination phase: shuffling
% 1.16/0.49 % (3883747)Time elapsed: 0.037 s
% 1.16/0.49 % (3883747)Peak memory usage: 12 MB
% 1.16/0.49 % (3883747)Instructions burned: 75 (million)
% 1.16/0.49 % (3883759)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.16/0.49 % (3883742)Instruction limit reached!
% 1.16/0.49 % (3883742)------------------------------
% 1.16/0.49 % (3883742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883742)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883742)Termination reason: Instruction limit
% 1.16/0.49 % (3883742)Termination phase: Property scanning
% 1.16/0.49 % (3883742)Time elapsed: 0.043 s
% 1.16/0.49 % (3883742)Peak memory usage: 12 MB
% 1.16/0.49 % (3883742)Instructions burned: 88 (million)
% 1.16/0.49 % (3883759)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2932103813:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.16/0.49 % (3883760)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2409259559:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.16/0.49 % (3883759)Instruction limit reached!
% 1.16/0.49 % (3883759)------------------------------
% 1.16/0.49 % (3883759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883759)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883759)Termination reason: Instruction limit
% 1.16/0.49 % (3883759)Termination phase: shuffling
% 1.16/0.49 % (3883759)Time elapsed: 0.004 s
% 1.16/0.49 % (3883759)Peak memory usage: 10 MB
% 1.16/0.49 % (3883759)Instructions burned: 9 (million)
% 1.16/0.49 % (3883762)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.16/0.49 % (3883762)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.16/0.49 % (3883760)Instruction limit reached!
% 1.16/0.49 % (3883760)------------------------------
% 1.16/0.49 % (3883760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883760)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883760)Termination reason: Instruction limit
% 1.16/0.49 % (3883760)Termination phase: shuffling
% 1.16/0.49 % (3883760)Time elapsed: 0.006 s
% 1.16/0.49 % (3883760)Peak memory usage: 10 MB
% 1.16/0.49 % (3883760)Instructions burned: 12 (million)
% 1.16/0.49 % (3883762)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2303510974:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.16/0.49 % (3883763)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=255477383:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.16/0.49 % (3883765)lrs+10_1_si=on:cs=on:random_seed=1626361457:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.16/0.49 % (3883767)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.16/0.49 % (3883762)Instruction limit reached!
% 1.16/0.49 % (3883762)------------------------------
% 1.16/0.49 % (3883762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883767)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2818712596:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.16/0.49 % (3883762)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883762)Termination reason: Instruction limit
% 1.16/0.49 % (3883762)Termination phase: shuffling
% 1.16/0.49 % (3883762)Time elapsed: 0.014 s
% 1.16/0.49 % (3883762)Peak memory usage: 10 MB
% 1.16/0.49 % (3883762)Instructions burned: 29 (million)
% 1.16/0.49 % (3883765)Instruction limit reached!
% 1.16/0.49 % (3883765)------------------------------
% 1.16/0.49 % (3883765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883765)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883765)Termination reason: Instruction limit
% 1.16/0.49 % (3883765)Termination phase: shuffling
% 1.16/0.49 % (3883765)Time elapsed: 0.005 s
% 1.16/0.49 % (3883765)Peak memory usage: 10 MB
% 1.16/0.49 % (3883765)Instructions burned: 9 (million)
% 1.16/0.49 % (3883767)Instruction limit reached!
% 1.16/0.49 % (3883767)------------------------------
% 1.16/0.49 % (3883767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883767)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883767)Termination reason: Instruction limit
% 1.16/0.49 % (3883767)Termination phase: shuffling
% 1.16/0.49 % (3883767)Time elapsed: 0.002 s
% 1.16/0.49 % (3883767)Peak memory usage: 10 MB
% 1.16/0.49 % (3883767)Instructions burned: 3 (million)
% 1.16/0.49 % (3883769)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1687300635:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.16/0.49 % (3883773)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1284800983:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.16/0.49 % (3883774)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2646142626:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.16/0.49 % (3883775)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1461861689:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.16/0.49 % (3883769)Instruction limit reached!
% 1.16/0.49 % (3883769)------------------------------
% 1.16/0.49 % (3883769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883769)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883769)Termination reason: Instruction limit
% 1.16/0.49 % (3883769)Termination phase: Preprocessing 3
% 1.16/0.49 % (3883769)Time elapsed: 0.020 s
% 1.16/0.49 % (3883769)Peak memory usage: 11 MB
% 1.16/0.49 % (3883769)Instructions burned: 39 (million)
% 1.16/0.49 % (3883775)Instruction limit reached!
% 1.16/0.49 % (3883775)------------------------------
% 1.16/0.49 % (3883775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883775)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883775)Termination reason: Instruction limit
% 1.16/0.49 % (3883775)Termination phase: shuffling
% 1.16/0.49 % (3883775)Time elapsed: 0.007 s
% 1.16/0.49 % (3883775)Peak memory usage: 10 MB
% 1.16/0.49 % (3883775)Instructions burned: 14 (million)
% 1.16/0.49 % (3883763)Instruction limit reached!
% 1.16/0.49 % (3883763)------------------------------
% 1.16/0.49 % (3883763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883763)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883763)Termination reason: Instruction limit
% 1.16/0.49 % (3883763)Termination phase: Preprocessing 1
% 1.16/0.49 % (3883763)Time elapsed: 0.039 s
% 1.16/0.49 % (3883763)Peak memory usage: 11 MB
% 1.16/0.49 % (3883763)Instructions burned: 87 (million)
% 1.16/0.49 % (3883774)Instruction limit reached!
% 1.16/0.49 % (3883774)------------------------------
% 1.16/0.49 % (3883774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883774)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883774)Termination reason: Instruction limit
% 1.16/0.49 % (3883774)Termination phase: SInE selection
% 1.16/0.49 % (3883774)Time elapsed: 0.013 s
% 1.16/0.49 % (3883774)Peak memory usage: 11 MB
% 1.16/0.49 % (3883774)Instructions burned: 26 (million)
% 1.16/0.49 % (3883780)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=979070211:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.16/0.49 % (3883748)Instruction limit reached!
% 1.16/0.49 % (3883748)------------------------------
% 1.16/0.49 % (3883748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883748)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883748)Termination reason: Instruction limit
% 1.16/0.49 % (3883748)Termination phase: Saturation
% 1.16/0.49 % (3883748)Time elapsed: 0.100 s
% 1.16/0.49 % (3883748)Peak memory usage: 14 MB
% 1.16/0.49 % (3883748)Instructions burned: 157 (million)
% 1.16/0.49 % (3883781)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1846502385:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.16/0.49 % (3883782)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2109006736:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.16/0.49 % (3883782)Instruction limit reached!
% 1.16/0.49 % (3883782)------------------------------
% 1.16/0.49 % (3883782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883782)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883782)Termination reason: Instruction limit
% 1.16/0.49 % (3883782)Termination phase: shuffling
% 1.16/0.49 % (3883782)Time elapsed: 0.002 s
% 1.16/0.49 % (3883782)Peak memory usage: 10 MB
% 1.16/0.49 % (3883782)Instructions burned: 2 (million)
% 1.16/0.49 % (3883781)Instruction limit reached!
% 1.16/0.49 % (3883781)------------------------------
% 1.16/0.49 % (3883781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883781)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883781)Termination reason: Instruction limit
% 1.16/0.49 % (3883781)Termination phase: Property scanning
% 1.16/0.49 % (3883781)Time elapsed: 0.008 s
% 1.16/0.49 % (3883781)Peak memory usage: 10 MB
% 1.16/0.49 % (3883781)Instructions burned: 16 (million)
% 1.16/0.49 % (3883783)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=490219743:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.16/0.49 % (3883745) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3883737-3883745"...
% 1.16/0.49 % (3883745)...printing done.
% 1.16/0.49 % (3883745)Refutation found. Thanks to Tanya!
% 1.16/0.49 % SZS status Theorem for theBenchmark
% 1.16/0.49 % SZS output start Proof for theBenchmark
% 1.16/0.49 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 1.16/0.49 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 1.16/0.49 thf(type_def_7, type, dtree: $tType).
% 1.16/0.49 thf(type_def_8, type, set: $tType > $tType).
% 1.16/0.49 thf(type_def_9, type, t: $tType).
% 1.16/0.49 thf(type_def_10, type, itself: $tType > $tType).
% 1.16/0.49 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.16/0.49 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_2, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_3, type, distrib_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_4, type, semilattice_inf: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_5, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_6, type, bounded_lattice_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_7, type, bounde1561333602nf_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.16/0.49 thf(func_def_8, type, bNF_convol: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > X0 > product_prod @ X1 @ X2))).
% 1.16/0.49 thf(func_def_9, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 1.16/0.49 thf(func_def_10, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 1.16/0.49 thf(func_def_11, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.16/0.49 thf(func_def_12, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.16/0.49 thf(func_def_13, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.16/0.49 thf(func_def_14, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.16/0.49 thf(func_def_15, type, top_top: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_16, type, parall1899940088le_par: (product_prod @ dtree @ dtree > dtree)).
% 1.16/0.49 thf(func_def_17, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.16/0.49 thf(func_def_18, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 1.16/0.49 thf(func_def_19, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 1.16/0.49 thf(func_def_20, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.16/0.49 thf(func_def_21, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 1.16/0.49 thf(func_def_22, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.16/0.49 thf(func_def_23, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.16/0.49 thf(func_def_24, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.16/0.49 thf(func_def_25, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 1.16/0.49 thf(func_def_26, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 1.16/0.49 thf(func_def_27, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.16/0.49 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.16/0.49 thf(func_def_29, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 1.16/0.49 thf(func_def_30, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 1.16/0.49 thf(func_def_31, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 1.16/0.49 thf(func_def_32, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 1.16/0.49 thf(func_def_33, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 1.16/0.49 thf(func_def_34, type, sum_Suml: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X0 @ X2 > X1))).
% 1.16/0.49 thf(func_def_35, type, sum_Sumr: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X2 @ X0 > X1))).
% 1.16/0.49 thf(func_def_36, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 1.16/0.49 thf(func_def_37, type, sum_case_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 1.16/0.49 thf(func_def_38, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 1.16/0.49 thf(func_def_39, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.16/0.49 thf(func_def_40, type, n: t).
% 1.16/0.49 thf(func_def_41, type, tr1a: dtree).
% 1.16/0.49 thf(func_def_42, type, tr2a: dtree).
% 1.16/0.49 thf(func_def_43, type, tr3a: dtree).
% 1.16/0.49 thf(func_def_44, type, trA: dtree).
% 1.16/0.49 thf(func_def_45, type, trB: dtree).
% 1.16/0.49 thf(func_def_49, type, db2: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_50, type, db0: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_52, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.16/0.49 thf(func_def_53, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.16/0.49 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 1.16/0.49 thf(func_def_55, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.16/0.49 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 1.16/0.49 thf(func_def_57, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X2 > X1) > (X0 > X2) > X2))).
% 1.16/0.49 thf(func_def_58, type, sK1: dtree).
% 1.16/0.49 thf(func_def_59, type, sK2: dtree).
% 1.16/0.49 thf(func_def_60, type, sK3: dtree).
% 1.16/0.49 thf(func_def_61, type, sK4: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 1.16/0.49 thf(func_def_62, type, sK5: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 1.16/0.49 thf(func_def_63, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X0))).
% 1.16/0.49 thf(func_def_64, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X2))).
% 1.16/0.49 thf(func_def_65, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X1))).
% 1.16/0.49 thf(func_def_66, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ X2 > (X0 > X1) > (X3 > X2) > set @ product_prod @ X0 @ X3 > X0))).
% 1.16/0.49 thf(func_def_67, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ X2 > (X0 > X1) > (X3 > X2) > set @ product_prod @ X0 @ X3 > X3))).
% 1.16/0.49 thf(func_def_68, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X1) > (X2 > X0) > X0))).
% 1.16/0.49 thf(func_def_69, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X2))).
% 1.16/0.49 thf(func_def_70, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X3))).
% 1.16/0.49 thf(func_def_71, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X1))).
% 1.16/0.49 thf(func_def_72, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X5))).
% 1.16/0.49 thf(func_def_73, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X4))).
% 1.16/0.49 thf(func_def_74, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X6))).
% 1.16/0.49 thf(func_def_75, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ X0 > X0))).
% 1.16/0.49 thf(func_def_76, type, sK19: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.16/0.49 thf(func_def_77, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X1))).
% 1.16/0.49 thf(func_def_78, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X0))).
% 1.16/0.49 thf(func_def_79, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X2))).
% 1.16/0.49 thf(func_def_80, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X3))).
% 1.16/0.49 thf(func_def_81, type, sK24: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 1.16/0.49 thf(func_def_82, type, sK25: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 1.16/0.49 thf(func_def_83, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > set @ X0 > X1))).
% 1.16/0.49 thf(func_def_84, type, sK27: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 1.16/0.49 thf(func_def_85, type, sK28: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.16/0.49 thf(func_def_86, type, sK29: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.16/0.49 thf(func_def_87, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 1.16/0.49 thf(func_def_88, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X3))).
% 1.16/0.49 thf(func_def_89, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X0))).
% 1.16/0.49 thf(func_def_90, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X4))).
% 1.16/0.49 thf(func_def_91, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X2))).
% 1.16/0.49 thf(func_def_92, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X1))).
% 1.16/0.49 thf(func_def_93, type, sK36: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 1.16/0.49 thf(func_def_94, type, sK37: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.16/0.49 thf(func_def_95, type, sK38: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_96, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X3))).
% 1.16/0.49 thf(func_def_97, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 1.16/0.49 thf(func_def_98, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 1.16/0.49 thf(func_def_99, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X4))).
% 1.16/0.49 thf(func_def_100, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 1.16/0.49 thf(func_def_101, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X2 @ X0 > (X2 > X0 > set @ X1) > X2))).
% 1.16/0.49 thf(func_def_102, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X2 @ X0 > (X2 > X0 > set @ X1) > X0))).
% 1.16/0.49 thf(func_def_103, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X3))).
% 1.16/0.49 thf(func_def_104, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X5))).
% 1.16/0.49 thf(func_def_105, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X0))).
% 1.16/0.49 thf(func_def_106, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X2))).
% 1.16/0.49 thf(func_def_107, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X4))).
% 1.16/0.49 thf(func_def_108, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X1))).
% 1.16/0.49 thf(func_def_109, type, sK52: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.16/0.49 thf(func_def_110, type, sK53: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.16/0.49 thf(func_def_111, type, sK54: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_112, type, sK55: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_113, type, sK56: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_114, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > (X0 > $o) > X1))).
% 1.16/0.49 thf(func_def_115, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X0))).
% 1.16/0.49 thf(func_def_116, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X1))).
% 1.16/0.49 thf(func_def_117, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X3))).
% 1.16/0.49 thf(func_def_118, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X2))).
% 1.16/0.49 thf(func_def_119, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X5))).
% 1.16/0.49 thf(func_def_120, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X4))).
% 1.16/0.49 thf(func_def_121, type, sK64: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.16/0.49 thf(func_def_122, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > (X0 > X2) > (X2 > X1) > X2))).
% 1.16/0.49 thf(func_def_123, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X2) > (X0 > X2) > (X2 > X1) > X2))).
% 1.16/0.49 thf(func_def_124, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 1.16/0.49 thf(func_def_125, type, sK68: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 1.16/0.49 thf(func_def_126, type, sK69: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 1.16/0.49 thf(func_def_127, type, sK70: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 1.16/0.49 thf(func_def_128, type, sK71: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 1.16/0.49 thf(func_def_129, type, sK72: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 1.16/0.49 thf(func_def_130, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X0))).
% 1.16/0.49 thf(func_def_131, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X4))).
% 1.16/0.49 thf(func_def_132, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X6))).
% 1.16/0.49 thf(func_def_133, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X1))).
% 1.16/0.49 thf(func_def_134, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X2))).
% 1.16/0.49 thf(func_def_135, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X3))).
% 1.16/0.49 thf(func_def_136, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X1 > $o) > X5))).
% 1.16/0.49 thf(func_def_137, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.16/0.49 thf(func_def_138, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 1.16/0.49 thf(func_def_139, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X1))).
% 1.16/0.49 thf(func_def_140, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X0))).
% 1.16/0.49 thf(func_def_141, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X2))).
% 1.16/0.49 thf(func_def_142, type, sK85: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_143, type, sK86: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_144, type, sK87: !>[X0: $tType]:(X0)).
% 1.16/0.49 thf(func_def_145, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > set @ X2 > (X2 > X0) > (X0 > X1) > X2))).
% 1.16/0.49 thf(func_def_146, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > set @ X0 > X0))).
% 1.16/0.49 thf(func_def_147, type, sK90: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 1.16/0.49 thf(func_def_148, type, sK91: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.16/0.49 thf(func_def_149, type, sK92: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.16/0.49 thf(func_def_150, type, sK93: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 1.16/0.49 thf(func_def_151, type, sK94: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 1.16/0.49 thf(func_def_152, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > X1))).
% 1.16/0.49 thf(func_def_153, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > X2))).
% 1.16/0.49 thf(func_def_154, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > X3))).
% 1.16/0.49 thf(func_def_155, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > X0))).
% 1.16/0.49 thf(func_def_156, type, sK99: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.16/0.49 thf(func_def_157, type, sK100: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.16/0.49 thf(func_def_158, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0))).
% 1.16/0.49 thf(func_def_159, type, sK102: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.16/0.49 thf(func_def_160, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType]:(((sum_sum @ X2 @ X1 > X0) > $o > X0 > X2))).
% 1.16/0.49 thf(func_def_161, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:(((sum_sum @ X2 @ X1 > X0) > $o > X0 > X1))).
% 1.16/0.49 thf(func_def_162, type, sK105: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 1.16/0.49 thf(func_def_163, type, sK106: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 1.16/0.49 thf(func_def_164, type, sK107: (product_prod @ dtree @ dtree > dtree)).
% 1.16/0.49 thf(func_def_165, type, sK108: (product_prod @ dtree @ dtree > dtree)).
% 1.16/0.49 thf(func_def_166, type, sK109: !>[X0: $tType]:((set @ X0 > X0))).
% 1.16/0.49 thf(func_def_167, type, sK110: !>[X0: $tType, X1: $tType]:((set @ X0 > sum_sum @ X1 @ X0 > X0))).
% 1.16/0.49 thf(func_def_168, type, sK111: !>[X0: $tType, X1: $tType]:((set @ X1 > sum_sum @ X1 @ X0 > X1))).
% 1.16/0.49 thf(func_def_169, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > (X0 > X1 > X2) > X1))).
% 1.16/0.49 thf(func_def_170, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > (X0 > X1 > X2) > X0))).
% 1.16/0.49 thf(func_def_171, type, sK114: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 1.16/0.49 thf(func_def_172, type, sK115: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 1.16/0.49 thf(func_def_173, type, sK116: !>[X0: $tType, X1: $tType]:(((sum_sum @ X0 @ X1 > $o) > X0))).
% 1.16/0.49 thf(func_def_174, type, sK117: !>[X0: $tType, X1: $tType]:(((sum_sum @ X0 @ X1 > $o) > X1))).
% 1.16/0.49 thf(func_def_175, type, vNOT: ($o > $o)).
% 1.16/0.49 thf(func_def_177, type, inv_sum_Inl_119: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 1.16/0.49 thf(func_def_178, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.16/0.49 thf(func_def_179, type, inv_sum_Inr_120: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 1.16/0.49 thf(f2,axiom,(
% 1.16/0.49 (member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a)) @ tr3a))))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062Inl_An_A_092_060in_062_Acont_A_I_Itr1_A_092_060parallel_062_Atr2_J_A_092_060parallel_062_Atr3_J_092_060close_062)).
% 1.16/0.49 thf(f3,axiom,(
% 1.16/0.49 ! [X1 : dtree,X0 : dtree] : (((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))) = ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_par__com)).
% 1.16/0.49 thf(f6,axiom,(
% 1.16/0.49 ! [X1 : dtree,X2 : dtree,X0 : t] : (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X0) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X2))))) = (member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X0) @ (cont @ X1)) | (member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X0) @ (cont @ X2)))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_Inl__in__cont__par)).
% 1.16/0.49 thf(f13,axiom,(
% 1.16/0.49 ! [X0 : dtree,X1 : dtree] : (((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ X0) @ (cont @ X1)))))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_Inl__cont__par)).
% 1.16/0.49 thf(f17,axiom,(
% 1.16/0.49 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1),X3 : X0,X4 : set @ X1] : ((member @ X1 @ (X2 @ X3) @ X4) => (member @ X0 @ X3 @ (vimage @ X0 @ X1 @ X2 @ X4)))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_vimageI2)).
% 1.16/0.49 thf(f20,axiom,(
% 1.16/0.49 ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : X0] : ((member @ X0 @ X1 @ X2) | (member @ X0 @ X1 @ X3) = ((member @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_Un__iff)).
% 1.16/0.49 thf(f21,axiom,(
% 1.16/0.49 ! [X1 : $tType,X0 : $tType,X2 : (X0 > X1),X4 : set @ X1,X3 : set @ X1] : (((vimage @ X0 @ X1 @ X2 @ (sup_sup @ set @ X1 @ X3 @ X4))) = ((sup_sup @ set @ X0 @ (vimage @ X0 @ X1 @ X2 @ X3) @ (vimage @ X0 @ X1 @ X2 @ X4))))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_vimage__Un)).
% 1.16/0.49 thf(f281,conjecture,(
% 1.16/0.49 (member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))),
% 1.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.16/0.49 thf(f282,negated_conjecture,(
% 1.16/0.49 ~(member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))),
% 1.16/0.49 inference(negated_conjecture,[status(cth)],[f281])).
% 1.16/0.49 thf(f334,plain,(
% 1.16/0.49 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : X0] : ((member @ X0 @ X3 @ X1) | (member @ X0 @ X3 @ X2) = ((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X1 @ X2))))),
% 1.16/0.49 inference(rectify,[],[f20])).
% 1.16/0.49 thf(f335,plain,(
% 1.16/0.49 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0,X3 : X0] : (((((member @ X0 @ X3 @ X2)) = $true) | (((member @ X0 @ X3 @ X1)) = $true)) <=> (((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X1 @ X2))) = $true))),
% 1.16/0.49 inference(fool_elimination,[],[f334])).
% 1.16/0.49 thf(f376,plain,(
% 1.16/0.49 (member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a)) @ tr3a))))),
% 1.16/0.49 inference(rectify,[],[f2])).
% 1.16/0.49 thf(f377,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a)) @ tr3a))))) = $true)),
% 1.16/0.49 inference(fool_elimination,[],[f376])).
% 1.16/0.49 thf(f418,plain,(
% 1.16/0.49 ! [X0 : dtree,X1 : dtree,X2 : t] : (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = (member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0)) | (member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1)))),
% 1.16/0.49 inference(rectify,[],[f6])).
% 1.16/0.49 thf(f419,plain,(
% 1.16/0.49 ! [X1 : dtree,X0 : dtree,X2 : t] : ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = $true) <=> ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) = $true)))),
% 1.16/0.49 inference(fool_elimination,[],[f418])).
% 1.16/0.49 thf(f453,plain,(
% 1.16/0.49 ~(member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))),
% 1.16/0.49 inference(rectify,[],[f282])).
% 1.16/0.49 thf(f454,plain,(
% 1.16/0.49 ~ (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))) = $true)),
% 1.16/0.49 inference(fool_elimination,[],[f453])).
% 1.16/0.49 thf(f561,plain,(
% 1.16/0.49 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1),X3 : X0,X4 : set @ X1] : ((member @ X1 @ (X2 @ X3) @ X4) => (member @ X0 @ X3 @ (vimage @ X0 @ X1 @ X2 @ X4)))),
% 1.16/0.49 inference(rectify,[],[f17])).
% 1.16/0.49 thf(f562,plain,(
% 1.16/0.49 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1),X3 : X0,X4 : set @ X1] : ((((member @ X1 @ (X2 @ X3) @ X4)) = $true) => (((member @ X0 @ X3 @ (vimage @ X0 @ X1 @ X2 @ X4))) = $true))),
% 1.16/0.49 inference(fool_elimination,[],[f561])).
% 1.16/0.49 thf(f655,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))) != $true)),
% 1.16/0.49 inference(flattening,[],[f454])).
% 1.16/0.49 thf(f656,plain,(
% 1.16/0.49 ! [X1 : $tType,X0 : $tType,X4 : set @ X0,X3 : set @ X0,X2 : (X1 > X0)] : (((sup_sup @ set @ X1 @ (vimage @ X1 @ X0 @ X2 @ X4) @ (vimage @ X1 @ X0 @ X2 @ X3))) = ((vimage @ X1 @ X0 @ X2 @ (sup_sup @ set @ X0 @ X4 @ X3))))),
% 1.16/0.49 inference(rectify,[],[f21])).
% 1.16/0.49 thf(f679,plain,(
% 1.16/0.49 ! [X0 : dtree,X1 : dtree] : (((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))) = ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))),
% 1.16/0.49 inference(rectify,[],[f3])).
% 1.16/0.49 thf(f811,plain,(
% 1.16/0.49 ! [X1 : $tType,X0 : $tType,X4 : set @ X1,X2 : (X0 > X1),X3 : X0] : ((((member @ X1 @ (X2 @ X3) @ X4)) != $true) | (((member @ X0 @ X3 @ (vimage @ X0 @ X1 @ X2 @ X4))) = $true))),
% 1.16/0.49 inference(ennf_transformation,[],[f562])).
% 1.16/0.49 thf(f908,plain,(
% 1.16/0.49 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0,X3 : X0] : ((((((member @ X0 @ X3 @ X2)) = $true) | (((member @ X0 @ X3 @ X1)) = $true)) | (((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X1 @ X2))) != $true)) & ((((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X1 @ X2))) = $true) | ((((member @ X0 @ X3 @ X2)) != $true) & (((member @ X0 @ X3 @ X1)) != $true))))),
% 1.16/0.49 inference(nnf_transformation,[],[f335])).
% 1.16/0.49 thf(f909,plain,(
% 1.16/0.49 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0,X3 : X0] : (((((member @ X0 @ X3 @ X2)) = $true) | (((member @ X0 @ X3 @ X1)) = $true) | (((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X1 @ X2))) != $true)) & ((((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X1 @ X2))) = $true) | ((((member @ X0 @ X3 @ X2)) != $true) & (((member @ X0 @ X3 @ X1)) != $true))))),
% 1.16/0.49 inference(flattening,[],[f908])).
% 1.16/0.49 thf(f910,plain,(
% 1.16/0.49 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : X0] : (((((member @ X0 @ X3 @ X1)) = $true) | (((member @ X0 @ X3 @ X2)) = $true) | (((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) != $true)) & ((((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) = $true) | ((((member @ X0 @ X3 @ X1)) != $true) & (((member @ X0 @ X3 @ X2)) != $true))))),
% 1.16/0.49 inference(rectify,[],[f909])).
% 1.16/0.49 thf(f926,plain,(
% 1.16/0.49 ! [X0 : $tType,X1 : $tType,X2 : set @ X1,X3 : set @ X1,X4 : (X0 > X1)] : (((sup_sup @ set @ X0 @ (vimage @ X0 @ X1 @ X4 @ X2) @ (vimage @ X0 @ X1 @ X4 @ X3))) = ((vimage @ X0 @ X1 @ X4 @ (sup_sup @ set @ X1 @ X2 @ X3))))),
% 1.16/0.49 inference(rectify,[],[f656])).
% 1.16/0.49 thf(f956,plain,(
% 1.16/0.49 ! [X1 : dtree,X0 : dtree,X2 : t] : (((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = $true) | ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) != $true) & (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) != $true))) & (((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) = $true)) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) != $true)))),
% 1.16/0.49 inference(nnf_transformation,[],[f419])).
% 1.16/0.49 thf(f957,plain,(
% 1.16/0.49 ! [X1 : dtree,X0 : dtree,X2 : t] : (((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = $true) | ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) != $true) & (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) != $true))) & ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) != $true)))),
% 1.16/0.49 inference(flattening,[],[f956])).
% 1.16/0.49 thf(f958,plain,(
% 1.16/0.49 ! [X0 : dtree,X1 : dtree,X2 : t] : (((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))) = $true) | ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) != $true) & (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) != $true))) & ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))) != $true)))),
% 1.16/0.49 inference(rectify,[],[f957])).
% 1.16/0.49 thf(f1088,plain,(
% 1.16/0.49 ! [X0 : $tType,X1 : $tType,X2 : set @ X0,X3 : (X1 > X0),X4 : X1] : ((((member @ X0 @ (X3 @ X4) @ X2)) != $true) | (((member @ X1 @ X4 @ (vimage @ X1 @ X0 @ X3 @ X2))) = $true))),
% 1.16/0.49 inference(rectify,[],[f811])).
% 1.16/0.49 thf(f1182,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a)) @ tr3a))))) = $true)),
% 1.16/0.49 inference(cnf_transformation,[],[f377])).
% 1.16/0.49 thf(f1193,plain,(
% 1.16/0.49 ( ! [X0 : $tType,X2 : set @ X0,X3 : X0,X1 : set @ X0] : ((((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) = $true) | (((member @ X0 @ X3 @ X2)) != $true)) )),
% 1.16/0.49 inference(cnf_transformation,[],[f910])).
% 1.16/0.49 thf(f1194,plain,(
% 1.16/0.49 ( ! [X0 : $tType,X2 : set @ X0,X3 : X0,X1 : set @ X0] : ((((member @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) = $true) | (((member @ X0 @ X3 @ X1)) != $true)) )),
% 1.16/0.49 inference(cnf_transformation,[],[f910])).
% 1.16/0.49 thf(f1214,plain,(
% 1.16/0.49 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X1,X3 : set @ X1,X4 : (X0 > X1)] : ((((sup_sup @ set @ X0 @ (vimage @ X0 @ X1 @ X4 @ X2) @ (vimage @ X0 @ X1 @ X4 @ X3))) = ((vimage @ X0 @ X1 @ X4 @ (sup_sup @ set @ X1 @ X2 @ X3))))) )),
% 1.16/0.49 inference(cnf_transformation,[],[f926])).
% 1.16/0.49 thf(f1247,plain,(
% 1.16/0.49 ( ! [X2 : t,X0 : dtree,X1 : dtree] : ((((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))) != $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X1))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ X2) @ (cont @ X0))) = $true)) )),
% 1.16/0.49 inference(cnf_transformation,[],[f958])).
% 1.16/0.49 thf(f1380,plain,(
% 1.16/0.49 ( ! [X0 : dtree,X1 : dtree] : ((((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))) = ((parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X1 @ X0))))) )),
% 1.16/0.49 inference(cnf_transformation,[],[f679])).
% 1.16/0.49 thf(f1407,plain,(
% 1.16/0.49 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X0,X3 : (X1 > X0),X4 : X1] : ((((member @ X1 @ X4 @ (vimage @ X1 @ X0 @ X3 @ X2))) = $true) | (((member @ X0 @ (X3 @ X4) @ X2)) != $true)) )),
% 1.16/0.49 inference(cnf_transformation,[],[f1088])).
% 1.16/0.49 thf(f1424,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))) != $true)),
% 1.16/0.49 inference(cnf_transformation,[],[f655])).
% 1.16/0.49 thf(f1442,plain,(
% 1.16/0.49 ( ! [X0 : dtree,X1 : dtree] : ((((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ X0 @ X1))))) = ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ X0) @ (cont @ X1)))))) )),
% 1.16/0.49 inference(cnf_transformation,[],[f13])).
% 1.16/0.49 thf(f1577,definition,(
% 1.16/0.49 spl118_1 <=> (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_1])],[avatar_definition])).
% 1.16/0.49 thf(f1579,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a)))))))) != $true) | spl118_1),
% 1.16/0.49 inference(avatar_component_clause,[],[f1577])).
% 1.16/0.49 thf(f1580,plain,(
% 1.16/0.49 ~spl118_1),
% 1.16/0.49 inference(avatar_split_clause,[],[f1424,f1577])).
% 1.16/0.49 thf(f1602,definition,(
% 1.16/0.49 spl118_6 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a)) @ tr3a))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_6])],[avatar_definition])).
% 1.16/0.49 thf(f1604,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a)) @ tr3a))))) = $true) | ~spl118_6),
% 1.16/0.49 inference(avatar_component_clause,[],[f1602])).
% 1.16/0.49 thf(f1605,plain,(
% 1.16/0.49 spl118_6),
% 1.16/0.49 inference(avatar_split_clause,[],[f1182,f1602])).
% 1.16/0.49 thf(f1709,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr3a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))))) = $true) | ~spl118_6),
% 1.16/0.49 inference(superposition,[],[f1604,f1380])).
% 1.16/0.49 thf(f1716,definition,(
% 1.16/0.49 spl118_14 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr3a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_14])],[avatar_definition])).
% 1.16/0.49 thf(f1718,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr3a @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))))) = $true) | ~spl118_14),
% 1.16/0.49 inference(avatar_component_clause,[],[f1716])).
% 1.16/0.49 thf(f1719,plain,(
% 1.16/0.49 spl118_14 | ~spl118_6),
% 1.16/0.49 inference(avatar_split_clause,[],[f1709,f1602,f1716])).
% 1.16/0.49 thf(f1732,plain,(
% 1.16/0.49 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : set @ X0,X4 : set @ X0,X5 : X1] : ((((member @ X1 @ X5 @ (vimage @ X1 @ X0 @ X2 @ (sup_sup @ set @ X0 @ X3 @ X4)))) = $true) | (((member @ X1 @ X5 @ (vimage @ X1 @ X0 @ X2 @ X3))) != $true)) )),
% 1.16/0.49 inference(superposition,[],[f1193,f1214])).
% 1.16/0.49 thf(f1836,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr1a) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a))))))) != $true) | spl118_1),
% 1.16/0.49 inference(superposition,[],[f1579,f1442])).
% 1.16/0.49 thf(f1859,definition,(
% 1.16/0.49 spl118_18 <=> (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr1a) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a))))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_18])],[avatar_definition])).
% 1.16/0.49 thf(f1861,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr1a) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a))))))) != $true) | spl118_18),
% 1.16/0.49 inference(avatar_component_clause,[],[f1859])).
% 1.16/0.49 thf(f1862,plain,(
% 1.16/0.49 ~spl118_18 | spl118_1),
% 1.16/0.49 inference(avatar_split_clause,[],[f1836,f1577,f1859])).
% 1.16/0.49 thf(f1888,definition,(
% 1.16/0.49 spl118_20 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_20])],[avatar_definition])).
% 1.16/0.49 thf(f1890,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))) = $true) | ~spl118_20),
% 1.16/0.49 inference(avatar_component_clause,[],[f1888])).
% 1.16/0.49 thf(f1892,definition,(
% 1.16/0.49 spl118_21 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr3a))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_21])],[avatar_definition])).
% 1.16/0.49 thf(f1936,plain,(
% 1.16/0.49 (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a))))))) != $true) | spl118_18),
% 1.16/0.49 inference(superposition,[],[f1861,f1214])).
% 1.16/0.49 thf(f1938,definition,(
% 1.16/0.49 spl118_22 <=> (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a))))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_22])],[avatar_definition])).
% 1.16/0.49 thf(f1940,plain,(
% 1.16/0.49 (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr2a @ tr3a))))))) != $true) | spl118_22),
% 1.16/0.49 inference(avatar_component_clause,[],[f1938])).
% 1.16/0.49 thf(f1941,plain,(
% 1.16/0.49 ~spl118_22 | spl118_18),
% 1.16/0.49 inference(avatar_split_clause,[],[f1936,f1859,f1938])).
% 1.16/0.49 thf(f1961,plain,(
% 1.16/0.49 (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a)))))) != $true) | spl118_22),
% 1.16/0.49 inference(superposition,[],[f1940,f1442])).
% 1.16/0.49 thf(f1963,plain,(
% 1.16/0.49 ($true != $true) | (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)))) != $true) | spl118_22),
% 1.16/0.49 inference(superposition,[],[f1940,f1193])).
% 1.16/0.49 thf(f1964,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)))) != $true) | spl118_22),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f1963])).
% 1.16/0.49 thf(f1967,definition,(
% 1.16/0.49 spl118_24 <=> (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_24])],[avatar_definition])).
% 1.16/0.49 thf(f1969,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)))) != $true) | spl118_24),
% 1.16/0.49 inference(avatar_component_clause,[],[f1967])).
% 1.16/0.49 thf(f1970,plain,(
% 1.16/0.49 ~spl118_24 | spl118_22),
% 1.16/0.49 inference(avatar_split_clause,[],[f1964,f1938,f1967])).
% 1.16/0.49 thf(f1977,definition,(
% 1.16/0.49 spl118_26 <=> (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a)))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_26])],[avatar_definition])).
% 1.16/0.49 thf(f1979,plain,(
% 1.16/0.49 (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr1a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a)))))) != $true) | spl118_26),
% 1.16/0.49 inference(avatar_component_clause,[],[f1977])).
% 1.16/0.49 thf(f1980,plain,(
% 1.16/0.49 ~spl118_26 | spl118_22),
% 1.16/0.49 inference(avatar_split_clause,[],[f1961,f1938,f1977])).
% 1.16/0.49 thf(f2009,definition,(
% 1.16/0.49 spl118_27 <=> (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_27])],[avatar_definition])).
% 1.16/0.49 thf(f2011,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a))))) != $true) | spl118_27),
% 1.16/0.49 inference(avatar_component_clause,[],[f2009])).
% 1.16/0.49 thf(f2076,plain,(
% 1.16/0.49 ($true != $true) | (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a))))) != $true) | spl118_26),
% 1.16/0.49 inference(superposition,[],[f1979,f1194])).
% 1.16/0.49 thf(f2079,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (sup_sup @ set @ sum_sum @ t @ dtree @ (cont @ tr2a) @ (cont @ tr3a))))) != $true) | spl118_26),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f2076])).
% 1.16/0.49 thf(f2080,plain,(
% 1.16/0.49 ~spl118_27 | spl118_26),
% 1.16/0.49 inference(avatar_split_clause,[],[f2079,f1977,f2009])).
% 1.16/0.49 thf(f2116,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr2a))) = $true) | ($true != $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr1a))) = $true) | ~spl118_20),
% 1.16/0.49 inference(superposition,[],[f1247,f1890])).
% 1.16/0.49 thf(f2117,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr2a))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr1a))) = $true) | ~spl118_20),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f2116])).
% 1.16/0.49 thf(f2124,definition,(
% 1.16/0.49 spl118_31 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr1a))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_31])],[avatar_definition])).
% 1.16/0.49 thf(f2128,definition,(
% 1.16/0.49 spl118_32 <=> (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr2a))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_32])],[avatar_definition])).
% 1.16/0.49 thf(f2131,plain,(
% 1.16/0.49 spl118_31 | spl118_32 | ~spl118_20),
% 1.16/0.49 inference(avatar_split_clause,[],[f2117,f1888,f2128,f2124])).
% 1.16/0.49 thf(f2212,plain,(
% 1.16/0.49 (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a))))) != $true) | spl118_27),
% 1.16/0.49 inference(superposition,[],[f2011,f1214])).
% 1.16/0.49 thf(f2214,definition,(
% 1.16/0.49 spl118_33 <=> (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a))))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_33])],[avatar_definition])).
% 1.16/0.49 thf(f2216,plain,(
% 1.16/0.49 (((member @ t @ n @ (sup_sup @ set @ t @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)) @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a))))) != $true) | spl118_33),
% 1.16/0.49 inference(avatar_component_clause,[],[f2214])).
% 1.16/0.49 thf(f2217,plain,(
% 1.16/0.49 ~spl118_33 | spl118_27),
% 1.16/0.49 inference(avatar_split_clause,[],[f2212,f2009,f2214])).
% 1.16/0.49 thf(f2218,plain,(
% 1.16/0.49 ($true != $true) | (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a)))) != $true) | spl118_33),
% 1.16/0.49 inference(superposition,[],[f2216,f1194])).
% 1.16/0.49 thf(f2220,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a)))) != $true) | spl118_33),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f2218])).
% 1.16/0.49 thf(f2223,definition,(
% 1.16/0.49 spl118_34 <=> (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a)))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_34])],[avatar_definition])).
% 1.16/0.49 thf(f2225,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr3a)))) != $true) | spl118_34),
% 1.16/0.49 inference(avatar_component_clause,[],[f2223])).
% 1.16/0.49 thf(f2226,plain,(
% 1.16/0.49 ~spl118_34 | spl118_33),
% 1.16/0.49 inference(avatar_split_clause,[],[f2220,f2214,f2223])).
% 1.16/0.49 thf(f2228,definition,(
% 1.16/0.49 spl118_35 <=> (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)))) = $true)),
% 1.16/0.49 introduced(definition,[new_symbols(definition,[spl118_35])],[avatar_definition])).
% 1.16/0.49 thf(f2230,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)))) != $true) | spl118_35),
% 1.16/0.49 inference(avatar_component_clause,[],[f2228])).
% 1.16/0.49 thf(f2601,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr3a))) = $true) | ($true != $true) | ~spl118_14),
% 1.16/0.49 inference(superposition,[],[f1247,f1718])).
% 1.16/0.49 thf(f2602,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr3a))) = $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1a @ tr2a))))) = $true) | ~spl118_14),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f2601])).
% 1.16/0.49 thf(f2654,plain,(
% 1.16/0.49 ($true != $true) | (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)))) != $true) | spl118_27),
% 1.16/0.49 inference(superposition,[],[f2011,f1732])).
% 1.16/0.49 thf(f2658,plain,(
% 1.16/0.49 (((member @ t @ n @ (vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr2a)))) != $true) | spl118_27),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f2654])).
% 1.16/0.49 thf(f2663,plain,(
% 1.16/0.49 ~spl118_35 | spl118_27),
% 1.16/0.49 inference(avatar_split_clause,[],[f2658,f2009,f2228])).
% 1.16/0.49 thf(f3286,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr1a))) != $true) | ($true != $true) | spl118_24),
% 1.16/0.49 inference(superposition,[],[f1969,f1407])).
% 1.16/0.49 thf(f3287,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr2a))) != $true) | ($true != $true) | spl118_35),
% 1.16/0.49 inference(superposition,[],[f2230,f1407])).
% 1.16/0.49 thf(f3288,plain,(
% 1.16/0.49 ($true != $true) | (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr3a))) != $true) | spl118_34),
% 1.16/0.49 inference(superposition,[],[f2225,f1407])).
% 1.16/0.49 thf(f3297,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr3a))) != $true) | spl118_34),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f3288])).
% 1.16/0.49 thf(f3300,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr2a))) != $true) | spl118_35),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f3287])).
% 1.16/0.49 thf(f3306,plain,(
% 1.16/0.49 (((member @ sum_sum @ t @ dtree @ (sum_Inl @ t @ dtree @ n) @ (cont @ tr1a))) != $true) | spl118_24),
% 1.16/0.49 inference(trivial_inequality_removal,[],[f3286])).
% 1.16/0.49 thf(f3342,plain,(
% 1.16/0.49 ~spl118_21 | spl118_34),
% 1.16/0.49 inference(avatar_split_clause,[],[f3297,f2223,f1892])).
% 1.16/0.49 thf(f3343,plain,(
% 1.16/0.49 spl118_20 | spl118_21 | ~spl118_14),
% 1.16/0.49 inference(avatar_split_clause,[],[f2602,f1716,f1892,f1888])).
% 1.16/0.49 thf(f3344,plain,(
% 1.16/0.49 ~spl118_31 | spl118_24),
% 1.16/0.49 inference(avatar_split_clause,[],[f3306,f1967,f2124])).
% 1.16/0.49 thf(f3345,plain,(
% 1.16/0.49 ~spl118_32 | spl118_35),
% 1.16/0.49 inference(avatar_split_clause,[],[f3300,f2228,f2128])).
% 1.16/0.49 cnf(s1, plain, ~spl118_1, inference(sat_conversion,[],[f1580])).
% 1.16/0.49 cnf(s6, plain, spl118_6, inference(sat_conversion,[],[f1605])).
% 1.16/0.49 cnf(s16, plain, ~spl118_6 | spl118_14, inference(sat_conversion,[],[f1719])).
% 1.16/0.49 cnf(s20, plain, spl118_1 | ~spl118_18, inference(sat_conversion,[],[f1862])).
% 1.16/0.49 cnf(s23, plain, spl118_18 | ~spl118_22, inference(sat_conversion,[],[f1941])).
% 1.16/0.49 cnf(s25, plain, spl118_22 | ~spl118_24, inference(sat_conversion,[],[f1970])).
% 1.16/0.49 cnf(s27, plain, spl118_22 | ~spl118_26, inference(sat_conversion,[],[f1980])).
% 1.16/0.49 cnf(s30, plain, spl118_26 | ~spl118_27, inference(sat_conversion,[],[f2080])).
% 1.16/0.49 cnf(s33, plain, ~spl118_20 | spl118_31 | spl118_32, inference(sat_conversion,[],[f2131])).
% 1.16/0.49 cnf(s39, plain, spl118_27 | ~spl118_33, inference(sat_conversion,[],[f2217])).
% 1.16/0.49 cnf(s40, plain, spl118_33 | ~spl118_34, inference(sat_conversion,[],[f2226])).
% 1.16/0.49 cnf(s52, plain, spl118_27 | ~spl118_35, inference(sat_conversion,[],[f2663])).
% 1.16/0.49 cnf(s66, plain, ~spl118_21 | spl118_34, inference(sat_conversion,[],[f3342])).
% 1.16/0.49 cnf(s67, plain, ~spl118_14 | spl118_20 | spl118_21, inference(sat_conversion,[],[f3343])).
% 1.16/0.49 cnf(s68, plain, spl118_24 | ~spl118_31, inference(sat_conversion,[],[f3344])).
% 1.16/0.49 cnf(s69, plain, ~spl118_32 | spl118_35, inference(sat_conversion,[],[f3345])).
% 1.16/0.49 cnf(s70, plain, spl118_14, inference(rat,[],[s16,s6])).
% 1.16/0.49 cnf(s74, plain, ~spl118_18, inference(rat,[],[s20,s1])).
% 1.16/0.49 cnf(s77, plain, ~spl118_22, inference(rat,[],[s23,s74])).
% 1.16/0.49 cnf(s80, plain, ~spl118_26, inference(rat,[],[s27,s77])).
% 1.16/0.49 cnf(s82, plain, ~spl118_24, inference(rat,[],[s25,s77])).
% 1.16/0.49 cnf(s86, plain, ~spl118_27, inference(rat,[],[s30,s80])).
% 1.16/0.49 cnf(s88, plain, ~spl118_31, inference(rat,[],[s68,s82])).
% 1.16/0.49 cnf(s92, plain, ~spl118_35, inference(rat,[],[s52,s86])).
% 1.16/0.49 cnf(s93, plain, ~spl118_33, inference(rat,[],[s39,s86])).
% 1.16/0.49 cnf(s96, plain, ~spl118_32, inference(rat,[],[s69,s92])).
% 1.16/0.49 cnf(s97, plain, ~spl118_34, inference(rat,[],[s40,s93])).
% 1.16/0.49 cnf(s99, plain, ~spl118_20, inference(rat,[],[s33,s88,s96])).
% 1.16/0.49 cnf(s100, plain, ~spl118_21, inference(rat,[],[s66,s97])).
% 1.16/0.49 cnf(s102, plain, $false, inference(rat,[],[s67,s70,s100,s99])).
% 1.16/0.49 thf(f3346,plain,(
% 1.16/0.49 $false),
% 1.16/0.49 inference(avatar_sat_refutation,[],[s102])).
% 1.16/0.49 % SZS output end Proof for theBenchmark
% 1.16/0.49 % (3883745)------------------------------
% 1.16/0.49 % (3883745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.49 % (3883745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.49 % (3883745)CaDiCaL version: 2.1.3
% 1.16/0.49 % (3883745)Termination reason: Refutation
% 1.16/0.49 % (3883745)Time elapsed: 0.139 s
% 1.16/0.49 % (3883745)Peak memory usage: 16 MB
% 1.16/0.49 % (3883745)Instructions burned: 465 (million)
% 1.16/0.49 % (3883737)Success in time 0.181 s
% 1.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------