%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV466^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:38:41 AM UTC 2026
% Result : Theorem 2.24s 0.60s
% Output : Refutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV466^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n001.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 15:55:21 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.36 % (1411599)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.36 % (1411618)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=1305774704: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)
% 0.76/0.36 % (1411621)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.36 % (1411621)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
% 0.76/0.36 % (1411616)lrs+10_16_si=on:nwc=1.5:random_seed=2955229779:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.36 % (1411617)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1816859849:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.36 % (1411615)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4160310919:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.36 % (1411619)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3622363549:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.36 % (1411620)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1511773889:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.36 % (1411621)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=2148010722:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.36 % (1411617)Instruction limit reached!
% 0.76/0.36 % (1411617)------------------------------
% 0.76/0.36 % (1411617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (1411617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (1411617)CaDiCaL version: 2.1.3
% 0.76/0.36 % (1411617)Termination reason: Instruction limit
% 0.76/0.36 % (1411617)Termination phase: Saturation
% 0.76/0.36 % (1411617)Time elapsed: 0.003 s
% 0.76/0.36 % (1411617)Peak memory usage: 12 MB
% 0.76/0.36 % (1411617)Instructions burned: 3 (million)
% 0.76/0.36 % (1411616)Instruction limit reached!
% 0.76/0.36 % (1411616)------------------------------
% 0.76/0.36 % (1411616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (1411616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (1411616)CaDiCaL version: 2.1.3
% 0.76/0.36 % (1411616)Termination reason: Instruction limit
% 0.76/0.36 % (1411616)Termination phase: Saturation
% 0.76/0.36 % (1411616)Time elapsed: 0.011 s
% 0.76/0.36 % (1411616)Peak memory usage: 12 MB
% 0.76/0.36 % (1411616)Instructions burned: 18 (million)
% 0.76/0.36 % (1411619)Instruction limit reached!
% 0.76/0.36 % (1411619)------------------------------
% 0.76/0.36 % (1411619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (1411619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (1411619)CaDiCaL version: 2.1.3
% 0.76/0.36 % (1411619)Termination reason: Instruction limit
% 0.76/0.36 % (1411619)Termination phase: Saturation
% 0.76/0.36 % (1411619)Time elapsed: 0.015 s
% 0.76/0.36 % (1411619)Peak memory usage: 12 MB
% 0.76/0.36 % (1411619)Instructions burned: 25 (million)
% 0.76/0.36 % (1411639)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2414002435:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.36 % (1411639)Instruction limit reached!
% 0.76/0.36 % (1411639)------------------------------
% 0.76/0.36 % (1411639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.36 % (1411639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.36 % (1411639)CaDiCaL version: 2.1.3
% 0.76/0.36 % (1411639)Termination reason: Instruction limit
% 0.76/0.36 % (1411639)Termination phase: Saturation
% 0.76/0.36 % (1411639)Time elapsed: 0.002 s
% 0.76/0.36 % (1411639)Peak memory usage: 12 MB
% 0.76/0.36 % (1411639)Instructions burned: 2 (million)
% 0.76/0.36 % (1411644)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4083296377:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.40 % (1411647)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.40 % (1411647)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3594216233:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.40 % (1411644)Instruction limit reached!
% 0.76/0.40 % (1411644)------------------------------
% 0.76/0.40 % (1411644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (1411644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (1411644)CaDiCaL version: 2.1.3
% 0.76/0.40 % (1411644)Termination reason: Instruction limit
% 0.76/0.40 % (1411644)Termination phase: Saturation
% 0.76/0.40 % (1411644)Time elapsed: 0.004 s
% 0.76/0.40 % (1411644)Peak memory usage: 12 MB
% 0.76/0.40 % (1411644)Instructions burned: 6 (million)
% 0.76/0.40 % (1411647)Instruction limit reached!
% 0.76/0.40 % (1411647)------------------------------
% 0.76/0.40 % (1411647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (1411647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (1411647)CaDiCaL version: 2.1.3
% 0.76/0.40 % (1411647)Termination reason: Instruction limit
% 0.76/0.40 % (1411647)Termination phase: Saturation
% 0.76/0.40 % (1411647)Time elapsed: 0.005 s
% 0.76/0.40 % (1411647)Peak memory usage: 12 MB
% 0.76/0.40 % (1411647)Instructions burned: 8 (million)
% 0.76/0.40 % (1411615)Instruction limit reached!
% 0.76/0.40 % (1411615)------------------------------
% 0.76/0.40 % (1411615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (1411615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (1411615)CaDiCaL version: 2.1.3
% 0.76/0.40 % (1411615)Termination reason: Instruction limit
% 0.76/0.40 % (1411615)Termination phase: Saturation
% 0.76/0.40 % (1411615)Time elapsed: 0.041 s
% 0.76/0.40 % (1411615)Peak memory usage: 12 MB
% 0.76/0.40 % (1411615)Instructions burned: 87 (million)
% 0.76/0.40 % (1411654)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2685415123:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.40 % (1411620)Instruction limit reached!
% 0.76/0.40 % (1411620)------------------------------
% 0.76/0.40 % (1411620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (1411620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (1411620)CaDiCaL version: 2.1.3
% 0.76/0.40 % (1411620)Termination reason: Instruction limit
% 0.76/0.40 % (1411620)Termination phase: Saturation
% 0.76/0.40 % (1411620)Time elapsed: 0.043 s
% 0.76/0.40 % (1411620)Peak memory usage: 12 MB
% 0.76/0.40 % (1411620)Instructions burned: 75 (million)
% 0.76/0.40 % (1411663)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
% 0.76/0.40 % (1411663)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.40 % (1411654)Instruction limit reached!
% 0.76/0.40 % (1411654)------------------------------
% 0.76/0.40 % (1411654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (1411654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (1411654)CaDiCaL version: 2.1.3
% 0.76/0.40 % (1411654)Termination reason: Instruction limit
% 0.76/0.40 % (1411654)Termination phase: Saturation
% 0.76/0.40 % (1411654)Time elapsed: 0.009 s
% 0.76/0.40 % (1411654)Peak memory usage: 12 MB
% 0.76/0.40 % (1411654)Instructions burned: 13 (million)
% 0.76/0.40 % (1411663)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3557680902:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.40 % (1411668)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.40 % (1411665)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=3569605742:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.43 % (1411666)lrs+10_1_si=on:cs=on:random_seed=3331299215:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.43 % (1411668)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=1511030608:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.43 % (1411668)Instruction limit reached!
% 0.76/0.43 % (1411668)------------------------------
% 0.76/0.43 % (1411668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (1411668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (1411668)CaDiCaL version: 2.1.3
% 0.76/0.43 % (1411668)Termination reason: Instruction limit
% 0.76/0.43 % (1411668)Termination phase: Saturation
% 0.76/0.43 % (1411668)Time elapsed: 0.002 s
% 0.76/0.43 % (1411668)Peak memory usage: 11 MB
% 0.76/0.43 % (1411668)Instructions burned: 2 (million)
% 0.76/0.43 % (1411666)Instruction limit reached!
% 0.76/0.43 % (1411666)------------------------------
% 0.76/0.43 % (1411666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (1411666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (1411666)CaDiCaL version: 2.1.3
% 0.76/0.44 % (1411666)Termination reason: Instruction limit
% 0.76/0.44 % (1411666)Termination phase: Saturation
% 0.76/0.44 % (1411666)Time elapsed: 0.006 s
% 0.76/0.44 % (1411666)Peak memory usage: 12 MB
% 0.76/0.44 % (1411666)Instructions burned: 9 (million)
% 0.76/0.44 % (1411663)Instruction limit reached!
% 0.76/0.44 % (1411663)------------------------------
% 0.76/0.44 % (1411663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (1411663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (1411663)CaDiCaL version: 2.1.3
% 0.76/0.44 % (1411663)Termination reason: Instruction limit
% 0.76/0.44 % (1411663)Termination phase: Saturation
% 0.76/0.44 % (1411663)Time elapsed: 0.015 s
% 0.76/0.44 % (1411663)Peak memory usage: 12 MB
% 0.76/0.44 % (1411663)Instructions burned: 28 (million)
% 0.76/0.44 % (1411674)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2266783441:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.44 % (1411674)Refutation not found, incomplete strategy
% 0.76/0.44 % (1411674)------------------------------
% 0.76/0.44 % (1411674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (1411674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (1411674)CaDiCaL version: 2.1.3
% 0.76/0.44 % (1411674)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.44 % (1411674)Time elapsed: 0.004 s
% 0.76/0.44 % (1411674)Peak memory usage: 12 MB
% 0.76/0.44 % (1411674)Instructions burned: 5 (million)
% 0.76/0.44 % (1411674)------------------------------
% 0.76/0.44 % (1411674)------------------------------
% 0.76/0.44 % (1411680)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3298633751:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.76/0.44 % (1411621)Instruction limit reached!
% 0.76/0.44 % (1411621)------------------------------
% 0.76/0.44 % (1411621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (1411621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (1411621)CaDiCaL version: 2.1.3
% 0.76/0.44 % (1411621)Termination reason: Instruction limit
% 0.76/0.44 % (1411621)Termination phase: Saturation
% 0.76/0.44 % (1411621)Time elapsed: 0.085 s
% 0.76/0.44 % (1411621)Peak memory usage: 12 MB
% 0.76/0.44 % (1411621)Instructions burned: 159 (million)
% 0.76/0.44 % (1411680)Refutation not found, incomplete strategy
% 0.76/0.44 % (1411680)------------------------------
% 0.76/0.44 % (1411680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.44 % (1411680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.44 % (1411680)CaDiCaL version: 2.1.3
% 0.76/0.44 % (1411680)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.44 % (1411680)Time elapsed: 0.003 s
% 0.76/0.44 % (1411680)Peak memory usage: 12 MB
% 0.76/0.44 % (1411680)Instructions burned: 3 (million)
% 0.76/0.44 % (1411684)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3637732142:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.44 % (1411682)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=623039606:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.54/0.47 % (1411680)------------------------------
% 1.54/0.47 % (1411680)------------------------------
% 1.54/0.47 % (1411689)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2492428879:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.54/0.47 % (1411684)Instruction limit reached!
% 1.54/0.47 % (1411684)------------------------------
% 1.54/0.47 % (1411684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.47 % (1411684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.47 % (1411684)CaDiCaL version: 2.1.3
% 1.54/0.47 % (1411684)Termination reason: Instruction limit
% 1.54/0.47 % (1411684)Termination phase: Saturation
% 1.54/0.47 % (1411684)Time elapsed: 0.010 s
% 1.54/0.47 % (1411684)Peak memory usage: 12 MB
% 1.54/0.47 % (1411684)Instructions burned: 15 (million)
% 1.54/0.47 % (1411665)Instruction limit reached!
% 1.54/0.47 % (1411665)------------------------------
% 1.54/0.47 % (1411665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.47 % (1411694)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=517518486:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.54/0.47 % (1411665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.47 % (1411665)CaDiCaL version: 2.1.3
% 1.54/0.47 % (1411665)Termination reason: Instruction limit
% 1.54/0.47 % (1411665)Termination phase: Saturation
% 1.54/0.47 % (1411665)Time elapsed: 0.045 s
% 1.54/0.47 % (1411665)Peak memory usage: 12 MB
% 1.54/0.47 % (1411665)Instructions burned: 86 (million)
% 1.54/0.47 % (1411682)Instruction limit reached!
% 1.54/0.47 % (1411682)------------------------------
% 1.54/0.47 % (1411682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.47 % (1411682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.47 % (1411682)CaDiCaL version: 2.1.3
% 1.54/0.47 % (1411682)Termination reason: Instruction limit
% 1.54/0.47 % (1411682)Termination phase: Saturation
% 1.54/0.47 % (1411682)Time elapsed: 0.016 s
% 1.54/0.47 % (1411682)Peak memory usage: 12 MB
% 1.54/0.47 % (1411682)Instructions burned: 25 (million)
% 1.54/0.47 % (1411698)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2860239389: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)
% 1.54/0.47 % (1411698)Instruction limit reached!
% 1.54/0.47 % (1411698)------------------------------
% 1.54/0.47 % (1411698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.47 % (1411698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.47 % (1411698)CaDiCaL version: 2.1.3
% 1.54/0.47 % (1411698)Termination reason: Instruction limit
% 1.54/0.47 % (1411698)Termination phase: Saturation
% 1.54/0.47 % (1411698)Time elapsed: 0.002 s
% 1.54/0.47 % (1411698)Peak memory usage: 12 MB
% 1.54/0.47 % (1411698)Instructions burned: 2 (million)
% 1.54/0.47 % (1411694)Instruction limit reached!
% 1.54/0.47 % (1411694)------------------------------
% 1.54/0.47 % (1411694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.47 % (1411694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.47 % (1411694)CaDiCaL version: 2.1.3
% 1.54/0.47 % (1411694)Termination reason: Instruction limit
% 1.54/0.47 % (1411694)Termination phase: Saturation
% 1.54/0.47 % (1411694)Time elapsed: 0.009 s
% 1.54/0.47 % (1411694)Peak memory usage: 12 MB
% 1.54/0.47 % (1411694)Instructions burned: 15 (million)
% 1.54/0.47 % (1411705)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=495999627:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.54/0.47 % (1411710)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1744993870:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.54/0.47 % (1411711)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3072367382:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.54/0.47 % (1411714)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.54/0.53 % (1411714)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.54/0.53 % (1411714)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2323926910:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.54/0.53 % (1411716)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.54/0.53 % (1411716)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1132060285:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.54/0.53 % (1411705)Instruction limit reached!
% 1.54/0.53 % (1411705)------------------------------
% 1.54/0.53 % (1411705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (1411705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (1411705)CaDiCaL version: 2.1.3
% 1.54/0.53 % (1411705)Termination reason: Instruction limit
% 1.54/0.53 % (1411705)Termination phase: Saturation
% 1.54/0.53 % (1411705)Time elapsed: 0.017 s
% 1.54/0.53 % (1411705)Peak memory usage: 12 MB
% 1.54/0.53 % (1411705)Instructions burned: 26 (million)
% 1.54/0.53 % (1411710)Instruction limit reached!
% 1.54/0.53 % (1411710)------------------------------
% 1.54/0.53 % (1411710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (1411710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (1411710)CaDiCaL version: 2.1.3
% 1.54/0.53 % (1411710)Termination reason: Instruction limit
% 1.54/0.53 % (1411710)Termination phase: Saturation
% 1.54/0.53 % (1411710)Time elapsed: 0.014 s
% 1.54/0.53 % (1411710)Peak memory usage: 11 MB
% 1.54/0.53 % (1411710)Instructions burned: 24 (million)
% 1.54/0.53 % (1411714)Instruction limit reached!
% 1.54/0.53 % (1411714)------------------------------
% 1.54/0.53 % (1411714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (1411714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (1411714)CaDiCaL version: 2.1.3
% 1.54/0.53 % (1411714)Termination reason: Instruction limit
% 1.54/0.53 % (1411714)Termination phase: Saturation
% 1.54/0.53 % (1411714)Time elapsed: 0.009 s
% 1.54/0.53 % (1411714)Peak memory usage: 12 MB
% 1.54/0.53 % (1411714)Instructions burned: 14 (million)
% 1.54/0.53 % (1411716)Instruction limit reached!
% 1.54/0.53 % (1411716)------------------------------
% 1.54/0.53 % (1411716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (1411716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (1411716)CaDiCaL version: 2.1.3
% 1.54/0.53 % (1411716)Termination reason: Instruction limit
% 1.54/0.53 % (1411716)Termination phase: Saturation
% 1.54/0.53 % (1411716)Time elapsed: 0.006 s
% 1.54/0.53 % (1411716)Peak memory usage: 12 MB
% 1.54/0.53 % (1411716)Instructions burned: 9 (million)
% 1.54/0.53 % (1411727)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1891587121:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.54/0.53 % (1411728)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3292591822:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.54/0.53 % (1411729)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3117332695:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.54/0.53 % (1411731)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1126173995:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.54/0.53 % (1411711)Instruction limit reached!
% 1.54/0.53 % (1411711)------------------------------
% 1.54/0.53 % (1411711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (1411711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (1411711)CaDiCaL version: 2.1.3
% 1.54/0.53 % (1411711)Termination reason: Instruction limit
% 1.54/0.53 % (1411711)Termination phase: Saturation
% 1.54/0.53 % (1411711)Time elapsed: 0.035 s
% 1.54/0.53 % (1411711)Peak memory usage: 12 MB
% 1.54/0.53 % (1411711)Instructions burned: 61 (million)
% 2.24/0.58 % (1411728)Instruction limit reached!
% 2.24/0.58 % (1411728)------------------------------
% 2.24/0.58 % (1411728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (1411728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (1411728)CaDiCaL version: 2.1.3
% 2.24/0.58 % (1411728)Termination reason: Instruction limit
% 2.24/0.58 % (1411728)Termination phase: Saturation
% 2.24/0.58 % (1411728)Time elapsed: 0.007 s
% 2.24/0.58 % (1411728)Peak memory usage: 12 MB
% 2.24/0.58 % (1411728)Instructions burned: 11 (million)
% 2.24/0.58 % (1411729)Instruction limit reached!
% 2.24/0.58 % (1411729)------------------------------
% 2.24/0.58 % (1411729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (1411729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (1411729)CaDiCaL version: 2.1.3
% 2.24/0.58 % (1411729)Termination reason: Instruction limit
% 2.24/0.58 % (1411729)Termination phase: Saturation
% 2.24/0.58 % (1411729)Time elapsed: 0.012 s
% 2.24/0.58 % (1411729)Peak memory usage: 12 MB
% 2.24/0.58 % (1411729)Instructions burned: 23 (million)
% 2.24/0.58 % (1411731)Instruction limit reached!
% 2.24/0.58 % (1411731)------------------------------
% 2.24/0.58 % (1411731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (1411731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (1411731)CaDiCaL version: 2.1.3
% 2.24/0.58 % (1411731)Termination reason: Instruction limit
% 2.24/0.58 % (1411731)Termination phase: Saturation
% 2.24/0.58 % (1411731)Time elapsed: 0.013 s
% 2.24/0.58 % (1411731)Peak memory usage: 12 MB
% 2.24/0.58 % (1411727)Instruction limit reached!
% 2.24/0.58 % (1411727)------------------------------
% 2.24/0.58 % (1411727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (1411731)Instructions burned: 20 (million)
% 2.24/0.58 % (1411727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (1411727)CaDiCaL version: 2.1.3
% 2.24/0.58 % (1411727)Termination reason: Instruction limit
% 2.24/0.58 % (1411727)Termination phase: Saturation
% 2.24/0.58 % (1411727)Time elapsed: 0.015 s
% 2.24/0.58 % (1411727)Peak memory usage: 12 MB
% 2.24/0.58 % (1411727)Instructions burned: 31 (million)
% 2.24/0.58 % (1411618)Instruction limit reached!
% 2.24/0.58 % (1411618)------------------------------
% 2.24/0.58 % (1411618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (1411618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (1411618)CaDiCaL version: 2.1.3
% 2.24/0.58 % (1411618)Termination reason: Instruction limit
% 2.24/0.58 % (1411618)Termination phase: Saturation
% 2.24/0.58 % (1411618)Time elapsed: 0.186 s
% 2.24/0.58 % (1411618)Peak memory usage: 14 MB
% 2.24/0.58 % (1411618)Instructions burned: 636 (million)
% 2.24/0.58 % (1411744)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2285353687:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.24/0.58 % (1411748)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3674012043:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.24/0.58 % (1411752)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.24/0.58 % (1411753)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1854042609:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.24/0.58 % (1411750)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=481300685:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.24/0.58 % (1411751)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1061471973:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.24/0.58 % (1411752)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=433228069:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.24/0.58 % (1411752)Instruction limit reached!
% 2.24/0.58 % (1411752)------------------------------
% 2.24/0.58 % (1411752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (1411752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (1411752)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411752)Termination reason: Instruction limit
% 2.24/0.60 % (1411752)Termination phase: Saturation
% 2.24/0.60 % (1411752)Time elapsed: 0.005 s
% 2.24/0.60 % (1411752)Peak memory usage: 12 MB
% 2.24/0.60 % (1411752)Instructions burned: 8 (million)
% 2.24/0.60 % (1411751)Instruction limit reached!
% 2.24/0.60 % (1411751)------------------------------
% 2.24/0.60 % (1411751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411751)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411751)Termination reason: Instruction limit
% 2.24/0.60 % (1411751)Termination phase: Saturation
% 2.24/0.60 % (1411751)Time elapsed: 0.022 s
% 2.24/0.60 % (1411751)Peak memory usage: 12 MB
% 2.24/0.60 % (1411751)Instructions burned: 43 (million)
% 2.24/0.60 % (1411768)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=4027196828:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.24/0.60 % (1411768)Refutation not found, incomplete strategy
% 2.24/0.60 % (1411768)------------------------------
% 2.24/0.60 % (1411768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411768)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411768)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.60 % (1411768)Time elapsed: 0.004 s
% 2.24/0.60 % (1411768)Peak memory usage: 12 MB
% 2.24/0.60 % (1411768)Instructions burned: 5 (million)
% 2.24/0.60 % (1411768)------------------------------
% 2.24/0.60 % (1411768)------------------------------
% 2.24/0.60 % (1411779)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.24/0.60 % (1411779)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3746097286:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.24/0.60 % (1411753)Instruction limit reached!
% 2.24/0.60 % (1411753)------------------------------
% 2.24/0.60 % (1411753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411753)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411753)Termination reason: Instruction limit
% 2.24/0.60 % (1411753)Termination phase: Saturation
% 2.24/0.60 % (1411753)Time elapsed: 0.046 s
% 2.24/0.60 % (1411753)Peak memory usage: 12 MB
% 2.24/0.60 % (1411753)Instructions burned: 184 (million)
% 2.24/0.60 % (1411779)Instruction limit reached!
% 2.24/0.60 % (1411779)------------------------------
% 2.24/0.60 % (1411779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411779)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411779)Termination reason: Instruction limit
% 2.24/0.60 % (1411779)Termination phase: Saturation
% 2.24/0.60 % (1411779)Time elapsed: 0.004 s
% 2.24/0.60 % (1411779)Peak memory usage: 12 MB
% 2.24/0.60 % (1411779)Instructions burned: 6 (million)
% 2.24/0.60 % (1411786)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3508802334:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.24/0.60 % (1411797)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3107525789:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.24/0.60 % (1411797)Refutation not found, incomplete strategy
% 2.24/0.60 % (1411797)------------------------------
% 2.24/0.60 % (1411797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411797)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411797)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.60 % (1411797)Time elapsed: 0.002 s
% 2.24/0.60 % (1411797)Peak memory usage: 12 MB
% 2.24/0.60 % (1411797)Instructions burned: 6 (million)
% 2.24/0.60 % (1411797)------------------------------
% 2.24/0.60 % (1411797)------------------------------
% 2.24/0.60 % (1411800)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3797208663:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.24/0.60 % (1411786)Instruction limit reached!
% 2.24/0.60 % (1411786)------------------------------
% 2.24/0.60 % (1411786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411786)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411786)Termination reason: Instruction limit
% 2.24/0.60 % (1411786)Termination phase: Saturation
% 2.24/0.60 % (1411786)Time elapsed: 0.016 s
% 2.24/0.60 % (1411786)Peak memory usage: 12 MB
% 2.24/0.60 % (1411786)Instructions burned: 31 (million)
% 2.24/0.60 % (1411807)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2501304776:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.24/0.60 % (1411748)Instruction limit reached!
% 2.24/0.60 % (1411748)------------------------------
% 2.24/0.60 % (1411748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411748)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411748)Termination reason: Instruction limit
% 2.24/0.60 % (1411748)Termination phase: Saturation
% 2.24/0.60 % (1411748)Time elapsed: 0.079 s
% 2.24/0.60 % (1411748)Peak memory usage: 13 MB
% 2.24/0.60 % (1411748)Instructions burned: 144 (million)
% 2.24/0.60 % (1411689)Instruction limit reached!
% 2.24/0.60 % (1411689)------------------------------
% 2.24/0.60 % (1411689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411689)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411689)Termination reason: Instruction limit
% 2.24/0.60 % (1411689)Termination phase: Saturation
% 2.24/0.60 % (1411689)Time elapsed: 0.174 s
% 2.24/0.60 % (1411689)Peak memory usage: 13 MB
% 2.24/0.60 % (1411689)Instructions burned: 328 (million)
% 2.24/0.60 % (1411800)Refutation not found, incomplete strategy
% 2.24/0.60 % (1411800)------------------------------
% 2.24/0.60 % (1411800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411800)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411800)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.60 % (1411800)Time elapsed: 0.018 s
% 2.24/0.60 % (1411800)Peak memory usage: 12 MB
% 2.24/0.60 % (1411800)Instructions burned: 29 (million)
% 2.24/0.60 % (1411800)------------------------------
% 2.24/0.60 % (1411800)------------------------------
% 2.24/0.60 % (1411810)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3221518914:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.24/0.60 % (1411815)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1769871421:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.24/0.60 % (1411817)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.24/0.60 % (1411816)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2887747190:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.24/0.60 % (1411817)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=288863080:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.24/0.60 % (1411750)Instruction limit reached!
% 2.24/0.60 % (1411750)------------------------------
% 2.24/0.60 % (1411750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411750)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411750)Termination reason: Instruction limit
% 2.24/0.60 % (1411750)Termination phase: Saturation
% 2.24/0.60 % (1411750)Time elapsed: 0.110 s
% 2.24/0.60 % (1411750)Peak memory usage: 13 MB
% 2.24/0.60 % (1411750)Instructions burned: 194 (million)
% 2.24/0.60 % (1411816)Instruction limit reached!
% 2.24/0.60 % (1411816)------------------------------
% 2.24/0.60 % (1411816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411816)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411816)Termination reason: Instruction limit
% 2.24/0.60 % (1411816)Termination phase: Saturation
% 2.24/0.60 % (1411816)Time elapsed: 0.014 s
% 2.24/0.60 % (1411816)Peak memory usage: 12 MB
% 2.24/0.60 % (1411816)Instructions burned: 22 (million)
% 2.24/0.60 % (1411810)Instruction limit reached!
% 2.24/0.60 % (1411810)------------------------------
% 2.24/0.60 % (1411810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411810)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411810)Termination reason: Instruction limit
% 2.24/0.60 % (1411810)Termination phase: Saturation
% 2.24/0.60 % (1411810)Time elapsed: 0.028 s
% 2.24/0.60 % (1411810)Peak memory usage: 12 MB
% 2.24/0.60 % (1411810)Instructions burned: 45 (million)
% 2.24/0.60 % (1411744) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1411599-1411744"...
% 2.24/0.60 % (1411822)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1260407066:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.24/0.60 % (1411744)...printing done.
% 2.24/0.60 % (1411823)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2108582151:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.24/0.60 % (1411824)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3947147430:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.24/0.60 % (1411744)Refutation found. Thanks to Tanya!
% 2.24/0.60 % SZS status Theorem for theBenchmark
% 2.24/0.60 % SZS output start Proof for theBenchmark
% 2.24/0.60 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.24/0.60 thf(type_def_6, type, sK0: $tType).
% 2.24/0.60 thf(type_def_7, type, sK1: $tType).
% 2.24/0.60 thf(func_def_0, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 2.24/0.60 thf(func_def_1, type, 'const/sets/IMAGE': !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1 > $o))).
% 2.24/0.60 thf(func_def_5, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.24/0.60 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 2.24/0.60 thf(func_def_7, type, db1: !>[X0: $tType]:(X0)).
% 2.24/0.60 thf(func_def_8, type, db2: !>[X0: $tType]:(X0)).
% 2.24/0.60 thf(func_def_9, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.24/0.60 thf(func_def_10, type, vAND: ($o > $o > $o)).
% 2.24/0.60 thf(func_def_11, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.24/0.60 thf(func_def_12, type, db3: !>[X0: $tType]:(X0)).
% 2.24/0.60 thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.24/0.60 thf(func_def_14, type, sK2: (sK0 > $o)).
% 2.24/0.60 thf(func_def_15, type, sK3: (sK1 > $o)).
% 2.24/0.60 thf(func_def_16, type, sK4: (sK0 > sK1)).
% 2.24/0.60 thf(func_def_17, type, sK5: (sK1 > sK0)).
% 2.24/0.60 thf(func_def_18, type, vNOT: ($o > $o)).
% 2.24/0.60 thf(func_def_19, type, sK6: sK1).
% 2.24/0.60 thf(func_def_21, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.24/0.60 thf(func_def_22, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > (X1 > $o) > X1))).
% 2.24/0.60 thf(func_def_23, type, sK10: ((sK1 > $o) > sK1)).
% 2.24/0.60 thf(func_def_24, type, sK11: ((sK0 > $o) > sK0)).
% 2.24/0.60 thf(func_def_25, type, sK12: ((sK1 > $o) > sK1)).
% 2.24/0.60 thf(func_def_26, type, sK13: ((sK0 > $o) > sK0)).
% 2.24/0.60 thf(func_def_27, type, sK14: ((sK0 > $o) > sK0)).
% 2.24/0.60 thf(func_def_28, type, sK15: ((sK1 > $o) > sK1)).
% 2.24/0.60 thf(func_def_29, type, sK16: ((sK0 > $o) > sK0)).
% 2.24/0.60 thf(func_def_30, type, sK17: ((sK0 > sK0) > sK0)).
% 2.24/0.60 thf(func_def_31, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > (X0 > $o) > X0))).
% 2.24/0.60 thf(func_def_32, type, sK19: ((sK0 > $o) > sK0)).
% 2.24/0.60 thf(func_def_33, type, sK20: ((sK0 > $o) > sK0)).
% 2.24/0.60 thf(func_def_34, type, sK21: ((sK1 > sK1) > sK1)).
% 2.24/0.60 thf(f1,axiom,(
% 2.24/0.60 ! [X0 : $tType,X2 : (X0 > $o),X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X2)) = ((X2 @ X3)))),
% 2.24/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_')).
% 2.24/0.60 thf(f2,axiom,(
% 2.24/0.60 ! [X1 : $tType,X0 : $tType,X2 : X0,X4 : (X1 > X0),X3 : (X1 > $o)] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3))) = ? [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X3) & (X2 = ((X4 @ X5)))))),
% 2.24/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_IMAGE_')).
% 2.24/0.60 thf(f4,conjecture,(
% 2.24/0.60 ! [X0 : $tType,X1 : $tType,X4 : (X1 > $o),X3 : (X0 > $o),X2 : (X0 > X1)] : ((! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X4) => ? [X6 : X0] : (((X2 @ X6)) = X5)) & ! [X5 : X0] : ((('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) = (('const/sets/IN' @ X0 @ X5 @ X3)))) => ((('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3)) = X4))),
% 2.24/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SURJECTIVE_IMAGE_EQ_')).
% 2.24/0.60 thf(f5,negated_conjecture,(
% 2.24/0.60 ~ ! [X0 : $tType,X1 : $tType,X4 : (X1 > $o),X3 : (X0 > $o),X2 : (X0 > X1)] : ((! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X4) => ? [X6 : X0] : (((X2 @ X6)) = X5)) & ! [X5 : X0] : ((('const/sets/IN' @ X1 @ (X2 @ X5) @ X4)) = (('const/sets/IN' @ X0 @ X5 @ X3)))) => ((('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X3)) = X4))),
% 2.24/0.60 inference(negated_conjecture,[status(cth)],[f4])).
% 2.24/0.60 thf(f6,plain,(
% 2.24/0.60 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > $o),X3 : (X0 > $o),X4 : (X0 > X1)] : ((! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X2) => ? [X6 : X0] : (((X4 @ X6)) = X5)) & ! [X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X3)) = (('const/sets/IN' @ X1 @ (X4 @ X7) @ X2)))) => ((('const/sets/IMAGE' @ X0 @ X1 @ X4 @ X3)) = X2))),
% 2.24/0.60 inference(rectify,[],[f5])).
% 2.24/0.60 thf(f7,plain,(
% 2.24/0.60 ~ ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X4 : (X0 > X1),X3 : (X0 > $o)] : ((! [X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X3)) = (('const/sets/IN' @ X1 @ (X4 @ X7) @ X2))) & ! [X5 : X1] : (($true = (('const/sets/IN' @ X1 @ X5 @ X2))) => ? [X6 : X0] : (((X4 @ X6)) = X5))) => ((('const/sets/IMAGE' @ X0 @ X1 @ X4 @ X3)) = X2))),
% 2.24/0.60 inference(fool_elimination,[],[f6])).
% 2.24/0.60 thf(f8,plain,(
% 2.24/0.60 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : (X0 > X1),X4 : (X0 > $o)] : ((('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4))) = ? [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X4) & (((X3 @ X5)) = X2)))),
% 2.24/0.60 inference(rectify,[],[f2])).
% 2.24/0.60 thf(f9,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType] : (($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > X1) @ (^[Y1 : X0 > X1]: (!! @ X1 @ (^[Y2 : X1]: (('const/sets/IN' @ X1 @ Y2 @ ('const/sets/IMAGE' @ X0 @ X1 @ Y1 @ Y0)) = (?? @ X0 @ (^[Y3 : X0]: (((Y1 @ Y3) = Y2) & ('const/sets/IN' @ X0 @ Y3 @ Y0)))))))))))))) )),
% 2.24/0.60 inference(fool_elimination,[],[f8])).
% 2.24/0.60 thf(f12,plain,(
% 2.24/0.60 ! [X0 : $tType,X1 : (X0 > $o),X2 : X0] : ((('const/sets/IN' @ X0 @ X2 @ X1)) = ((X1 @ X2)))),
% 2.24/0.60 inference(rectify,[],[f1])).
% 2.24/0.60 thf(f13,plain,(
% 2.24/0.60 ( ! [X0 : $tType] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: (('const/sets/IN' @ X0 @ Y0 @ Y1) = (Y1 @ Y0))))))))) )),
% 2.24/0.60 inference(fool_elimination,[],[f12])).
% 2.24/0.60 thf(f14,plain,(
% 2.24/0.60 ! [X1 : $tType,X0 : $tType] : ($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > X1) @ (^[Y1 : X0 > X1]: (!! @ X1 @ (^[Y2 : X1]: (('const/sets/IN' @ X1 @ Y2 @ ('const/sets/IMAGE' @ X0 @ X1 @ Y1 @ Y0)) = (?? @ X0 @ (^[Y3 : X0]: (((Y1 @ Y3) = Y2) & ('const/sets/IN' @ X0 @ Y3 @ Y0)))))))))))))),
% 2.24/0.60 inference(closure,[],[f9])).
% 2.24/0.60 thf(f16,plain,(
% 2.24/0.60 ! [X0 : $tType] : ($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: (('const/sets/IN' @ X0 @ Y0 @ Y1) = (Y1 @ Y0))))))))),
% 2.24/0.60 inference(closure,[],[f13])).
% 2.24/0.60 thf(f17,plain,(
% 2.24/0.60 ? [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X4 : (X0 > X1),X3 : (X0 > $o)] : (((('const/sets/IMAGE' @ X0 @ X1 @ X4 @ X3)) != X2) & (! [X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X3)) = (('const/sets/IN' @ X1 @ (X4 @ X7) @ X2))) & ! [X5 : X1] : (? [X6 : X0] : (((X4 @ X6)) = X5) | ($true != (('const/sets/IN' @ X1 @ X5 @ X2))))))),
% 2.24/0.60 inference(ennf_transformation,[],[f7])).
% 2.24/0.60 thf(f18,plain,(
% 2.24/0.60 ? [X0 : $tType,X1 : $tType,X3 : (X0 > $o),X2 : (X1 > $o),X4 : (X0 > X1)] : (((('const/sets/IMAGE' @ X0 @ X1 @ X4 @ X3)) != X2) & ! [X5 : X1] : (? [X6 : X0] : (((X4 @ X6)) = X5) | ($true != (('const/sets/IN' @ X1 @ X5 @ X2)))) & ! [X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X3)) = (('const/sets/IN' @ X1 @ (X4 @ X7) @ X2))))),
% 2.24/0.60 inference(flattening,[],[f17])).
% 2.24/0.60 thf(f19,plain,(
% 2.24/0.60 ! [X0 : $tType,X1 : $tType] : (((!! @ (X1 > $o) @ (^[Y0 : X1 > $o]: (!! @ (X1 > X0) @ (^[Y1 : X1 > X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/IMAGE' @ X1 @ X0 @ Y1 @ Y0)) = (?? @ X1 @ (^[Y3 : X1]: (((Y1 @ Y3) = Y2) & ('const/sets/IN' @ X1 @ Y3 @ Y0)))))))))))) = $true)),
% 2.24/0.60 inference(rectify,[],[f14])).
% 2.24/0.60 thf(f20,plain,(
% 2.24/0.60 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o),X3 : (X1 > $o),X4 : (X0 > X1)] : (((('const/sets/IMAGE' @ X0 @ X1 @ X4 @ X2)) != X3) & ! [X5 : X1] : (? [X6 : X0] : (((X4 @ X6)) = X5) | ((('const/sets/IN' @ X1 @ X5 @ X3)) != $true)) & ! [X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X2)) = (('const/sets/IN' @ X1 @ (X4 @ X7) @ X3))))),
% 2.24/0.60 inference(rectify,[],[f18])).
% 2.24/0.60 thf(f21,plain,(
% 2.24/0.60 ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2)) != sK3) & ! [X5 : sK1] : ((((sK4 @ (sK5 @ X5))) = X5) | ((('const/sets/IN' @ sK1 @ X5 @ sK3)) != $true)) & ! [X7 : sK0] : ((('const/sets/IN' @ sK0 @ X7 @ sK2)) = (('const/sets/IN' @ sK1 @ (sK4 @ X7) @ sK3)))),
% 2.24/0.60 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X6,sK5 @ X5)],[f20])).
% 2.24/0.60 thf(f23,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType] : ((((!! @ (X1 > $o) @ (^[Y0 : X1 > $o]: (!! @ (X1 > X0) @ (^[Y1 : X1 > X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/IMAGE' @ X1 @ X0 @ Y1 @ Y0)) = (?? @ X1 @ (^[Y3 : X1]: (((Y1 @ Y3) = Y2) & ('const/sets/IN' @ X1 @ Y3 @ Y0)))))))))))) = $true)) )),
% 2.24/0.60 inference(cnf_transformation,[],[f19])).
% 2.24/0.60 thf(f24,plain,(
% 2.24/0.60 ( ! [X0 : $tType] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: (('const/sets/IN' @ X0 @ Y0 @ Y1) = (Y1 @ Y0))))))))) )),
% 2.24/0.60 inference(cnf_transformation,[],[f16])).
% 2.24/0.60 thf(f25,plain,(
% 2.24/0.60 ( ! [X7 : sK0] : (((('const/sets/IN' @ sK0 @ X7 @ sK2)) = (('const/sets/IN' @ sK1 @ (sK4 @ X7) @ sK3)))) )),
% 2.24/0.60 inference(cnf_transformation,[],[f21])).
% 2.24/0.60 thf(f26,plain,(
% 2.24/0.60 ( ! [X5 : sK1] : (((('const/sets/IN' @ sK1 @ X5 @ sK3)) != $true) | (((sK4 @ (sK5 @ X5))) = X5)) )),
% 2.24/0.60 inference(cnf_transformation,[],[f21])).
% 2.24/0.60 thf(f27,plain,(
% 2.24/0.60 ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2)) != sK3)),
% 2.24/0.60 inference(cnf_transformation,[],[f21])).
% 2.24/0.60 thf(f29,definition,(
% 2.24/0.60 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.24/0.60 introduced(theory,[fool_exhaustiveness_axiom])).
% 2.24/0.60 thf(f30,plain,(
% 2.24/0.60 ( ! [X7 : sK0] : (($false = (('const/sets/IN' @ sK1 @ (sK4 @ X7) @ sK3))) | ((('const/sets/IN' @ sK0 @ X7 @ sK2)) = $true)) )),
% 2.24/0.60 inference(iff_proxy_clausification,[],[f25])).
% 2.24/0.60 thf(f31,plain,(
% 2.24/0.60 ( ! [X7 : sK0] : (($true = (('const/sets/IN' @ sK1 @ (sK4 @ X7) @ sK3))) | ($false = (('const/sets/IN' @ sK0 @ X7 @ sK2)))) )),
% 2.24/0.60 inference(iff_proxy_clausification,[],[f25])).
% 2.24/0.60 thf(f32,plain,(
% 2.24/0.60 ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) != ((sK3 @ sK6)))),
% 2.24/0.60 inference(negative_extensionality,[],[f27])).
% 2.24/0.60 thf(f33,plain,(
% 2.24/0.60 (((sK3 @ sK6)) = $true) | ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) = $true)),
% 2.24/0.60 inference(xor_proxy_clausification,[],[f32])).
% 2.24/0.60 thf(f34,plain,(
% 2.24/0.60 ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) = $false) | ($false = ((sK3 @ sK6)))),
% 2.24/0.60 inference(xor_proxy_clausification,[],[f32])).
% 2.24/0.60 thf(f36,definition,(
% 2.24/0.60 spl7_1 <=> (((sK3 @ sK6)) = $true)),
% 2.24/0.60 introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition])).
% 2.24/0.60 thf(f38,plain,(
% 2.24/0.60 (((sK3 @ sK6)) = $true) | ~spl7_1),
% 2.24/0.60 inference(avatar_component_clause,[],[f36])).
% 2.24/0.60 thf(f40,definition,(
% 2.24/0.60 spl7_2 <=> ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) = $true)),
% 2.24/0.60 introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition])).
% 2.24/0.60 thf(f42,plain,(
% 2.24/0.60 ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) = $true) | ~spl7_2),
% 2.24/0.60 inference(avatar_component_clause,[],[f40])).
% 2.24/0.60 thf(f43,plain,(
% 2.24/0.60 spl7_1 | spl7_2),
% 2.24/0.60 inference(avatar_split_clause,[],[f33,f40,f36])).
% 2.24/0.60 thf(f45,definition,(
% 2.24/0.60 spl7_3 <=> ($false = ((sK3 @ sK6)))),
% 2.24/0.60 introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition])).
% 2.24/0.60 thf(f47,plain,(
% 2.24/0.60 ($false = ((sK3 @ sK6))) | ~spl7_3),
% 2.24/0.60 inference(avatar_component_clause,[],[f45])).
% 2.24/0.60 thf(f49,definition,(
% 2.24/0.60 spl7_4 <=> ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) = $false)),
% 2.24/0.60 introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition])).
% 2.24/0.60 thf(f51,plain,(
% 2.24/0.60 ((('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ sK6)) = $false) | ~spl7_4),
% 2.24/0.60 inference(avatar_component_clause,[],[f49])).
% 2.24/0.60 thf(f52,plain,(
% 2.24/0.60 spl7_3 | spl7_4),
% 2.24/0.60 inference(avatar_split_clause,[],[f34,f49,f45])).
% 2.24/0.60 thf(f70,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : ((((sK4 @ (sK5 @ X0))) = X0) | ($false = (('const/sets/IN' @ sK1 @ X0 @ sK3))) | ($true != $true)) )),
% 2.24/0.60 inference(superposition,[],[f26,f29])).
% 2.24/0.60 thf(f75,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : (($false = (('const/sets/IN' @ sK1 @ X0 @ sK3))) | (((sK4 @ (sK5 @ X0))) = X0)) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f70])).
% 2.24/0.60 thf(f94,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X1 : X0] : (((((^[Y0 : X0]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: (('const/sets/IN' @ X0 @ Y0 @ Y1) = (Y1 @ Y0))))) @ X1)) = $true)) )),
% 2.24/0.60 inference(pi_proxy_clausification,[],[f24])).
% 2.24/0.60 thf(f95,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X1 : X0] : (($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (('const/sets/IN' @ X0 @ X1 @ Y0) = (Y0 @ X1))))))) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f94])).
% 2.24/0.60 thf(f96,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : (($true = (((^[Y0 : X0 > $o]: (('const/sets/IN' @ X0 @ X1 @ Y0) = (Y0 @ X1))) @ X2)))) )),
% 2.24/0.60 inference(pi_proxy_clausification,[],[f95])).
% 2.24/0.60 thf(f97,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((('const/sets/IN' @ X0 @ X1 @ X2) = (X2 @ X1))) = $true)) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f96])).
% 2.24/0.60 thf(f98,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : (((('const/sets/IN' @ X0 @ X1 @ X2)) = ((X2 @ X1)))) )),
% 2.24/0.60 inference(equality_proxy_clausification,[],[f97])).
% 2.24/0.60 thf(f99,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : (((('const/sets/IN' @ X0 @ X1 @ X2)) = $true) | ($false = ((X2 @ X1)))) )),
% 2.24/0.60 inference(iff_proxy_clausification,[],[f98])).
% 2.24/0.60 thf(f100,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : (($false = (('const/sets/IN' @ X0 @ X1 @ X2))) | (((X2 @ X1)) = $true)) )),
% 2.24/0.60 inference(iff_proxy_clausification,[],[f98])).
% 2.24/0.60 thf(f115,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : ((((sK4 @ (sK5 @ X0))) = X0) | ($false = ((sK3 @ X0))) | ($false = $true)) )),
% 2.24/0.60 inference(superposition,[],[f99,f75])).
% 2.24/0.60 thf(f118,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : (($false = $true) | (((sK3 @ (sK4 @ X0))) = $false) | ((('const/sets/IN' @ sK0 @ X0 @ sK2)) = $true)) )),
% 2.24/0.60 inference(superposition,[],[f30,f99])).
% 2.24/0.60 thf(f119,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : ((((sK4 @ (sK5 @ X0))) = X0) | ($false = ((sK3 @ X0)))) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f115])).
% 2.24/0.60 thf(f120,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : (((('const/sets/IN' @ sK0 @ X0 @ sK2)) = $true) | (((sK3 @ (sK4 @ X0))) = $false)) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f118])).
% 2.24/0.60 thf(f124,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o)] : (($true = (((^[Y0 : X1 > $o]: (!! @ (X1 > X0) @ (^[Y1 : X1 > X0]: (!! @ X0 @ (^[Y2 : X0]: (('const/sets/IN' @ X0 @ Y2 @ ('const/sets/IMAGE' @ X1 @ X0 @ Y1 @ Y0)) = (?? @ X1 @ (^[Y3 : X1]: (((Y1 @ Y3) = Y2) & ('const/sets/IN' @ X1 @ Y3 @ Y0)))))))))) @ X2)))) )),
% 2.24/0.60 inference(pi_proxy_clausification,[],[f23])).
% 2.24/0.60 thf(f125,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o)] : ((((!! @ (X1 > X0) @ (^[Y0 : X1 > X0]: (!! @ X0 @ (^[Y1 : X0]: (('const/sets/IN' @ X0 @ Y1 @ ('const/sets/IMAGE' @ X1 @ X0 @ Y0 @ X2)) = (?? @ X1 @ (^[Y2 : X1]: (((Y0 @ Y2) = Y1) & ('const/sets/IN' @ X1 @ Y2 @ X2)))))))))) = $true)) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f124])).
% 2.24/0.60 thf(f130,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0)] : (($true = (((^[Y0 : X1 > X0]: (!! @ X0 @ (^[Y1 : X0]: (('const/sets/IN' @ X0 @ Y1 @ ('const/sets/IMAGE' @ X1 @ X0 @ Y0 @ X2)) = (?? @ X1 @ (^[Y2 : X1]: (((Y0 @ Y2) = Y1) & ('const/sets/IN' @ X1 @ Y2 @ X2)))))))) @ X3)))) )),
% 2.24/0.60 inference(pi_proxy_clausification,[],[f125])).
% 2.24/0.60 thf(f131,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0)] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2)) = (?? @ X1 @ (^[Y1 : X1]: (((X3 @ Y1) = Y0) & ('const/sets/IN' @ X1 @ Y1 @ X2)))))))))) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f130])).
% 2.24/0.60 thf(f132,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (((((^[Y0 : X0]: (('const/sets/IN' @ X0 @ Y0 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2)) = (?? @ X1 @ (^[Y1 : X1]: (((X3 @ Y1) = Y0) & ('const/sets/IN' @ X1 @ Y1 @ X2)))))) @ X4)) = $true)) )),
% 2.24/0.60 inference(pi_proxy_clausification,[],[f131])).
% 2.24/0.60 thf(f133,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (($true = ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2)) = (?? @ X1 @ (^[Y0 : X1]: (((X3 @ Y0) = X4) & ('const/sets/IN' @ X1 @ Y0 @ X2)))))))) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f132])).
% 2.24/0.60 thf(f134,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))) = ((?? @ X1 @ (^[Y0 : X1]: (((X3 @ Y0) = X4) & ('const/sets/IN' @ X1 @ Y0 @ X2))))))) )),
% 2.24/0.60 inference(equality_proxy_clausification,[],[f133])).
% 2.24/0.60 thf(f135,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (($false = ((?? @ X1 @ (^[Y0 : X1]: (((X3 @ Y0) = X4) & ('const/sets/IN' @ X1 @ Y0 @ X2)))))) | ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))) = $true)) )),
% 2.24/0.60 inference(iff_proxy_clausification,[],[f134])).
% 2.24/0.60 thf(f136,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (($true = ((?? @ X1 @ (^[Y0 : X1]: (((X3 @ Y0) = X4) & ('const/sets/IN' @ X1 @ Y0 @ X2)))))) | ($false = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))))) )),
% 2.24/0.60 inference(iff_proxy_clausification,[],[f134])).
% 2.24/0.60 thf(f139,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : ((((sK2 @ X0)) = $true) | ($false = $true) | (((sK3 @ (sK4 @ X0))) = $false)) )),
% 2.24/0.60 inference(superposition,[],[f100,f120])).
% 2.24/0.60 thf(f143,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : (((('const/sets/IN' @ sK0 @ X0 @ sK2)) = $false) | ($false = $true) | (((sK3 @ (sK4 @ X0))) = $true)) )),
% 2.24/0.60 inference(superposition,[],[f31,f100])).
% 2.24/0.60 thf(f148,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : ((((sK3 @ (sK4 @ X0))) = $false) | (((sK2 @ X0)) = $true)) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f139])).
% 2.24/0.60 thf(f153,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : (((('const/sets/IN' @ sK0 @ X0 @ sK2)) = $false) | (((sK3 @ (sK4 @ X0))) = $true)) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f143])).
% 2.24/0.60 thf(f171,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : ((((sK2 @ (sK5 @ X0))) = $true) | ($false = ((sK3 @ X0))) | ($false = ((sK3 @ X0)))) )),
% 2.24/0.60 inference(superposition,[],[f148,f119])).
% 2.24/0.60 thf(f173,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : ((((sK2 @ (sK5 @ X0))) = $true) | ($false = ((sK3 @ X0)))) )),
% 2.24/0.60 inference(duplicate_literal_removal,[],[f171])).
% 2.24/0.60 thf(f201,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0,X5 : X1] : (($false = (((^[Y0 : X1]: (((X3 @ Y0) = X4) & ('const/sets/IN' @ X1 @ Y0 @ X2))) @ X5))) | ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))) = $true)) )),
% 2.24/0.60 inference(pi_proxy_clausification,[],[f135])).
% 2.24/0.60 thf(f204,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0,X5 : X1] : (($false = ((((X3 @ X5) = X4) & ('const/sets/IN' @ X1 @ X5 @ X2)))) | ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))) = $true)) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f201])).
% 2.24/0.60 thf(f205,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0,X5 : X1] : (($false = (((X3 @ X5) = X4))) | ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))) = $true) | ($false = (('const/sets/IN' @ X1 @ X5 @ X2)))) )),
% 2.24/0.60 inference(and_proxy_clausification,[],[f204])).
% 2.24/0.60 thf(f206,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0,X5 : X1] : (((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))) = $true) | ($false = (('const/sets/IN' @ X1 @ X5 @ X2))) | (((X3 @ X5)) != X4)) )),
% 2.24/0.60 inference(equality_proxy_clausification,[],[f205])).
% 2.24/0.60 thf(f207,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > X0),X1 : X0,X4 : (X2 > $o),X5 : X2] : ((((X3 @ X5)) != X1) | ($true = (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1))) | ($false = $true) | ($false = (('const/sets/IN' @ X2 @ X5 @ X4)))) )),
% 2.24/0.60 inference(superposition,[],[f206,f100])).
% 2.24/0.60 thf(f209,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > X0),X1 : X0,X4 : (X2 > $o),X5 : X2] : (($true = (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1))) | ($false = (('const/sets/IN' @ X2 @ X5 @ X4))) | (((X3 @ X5)) != X1)) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f207])).
% 2.24/0.60 thf(f224,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (($false = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2)))) | ($true = (((^[Y0 : X1]: (((X3 @ Y0) = X4) & ('const/sets/IN' @ X1 @ Y0 @ X2))) @ (sK9 @ X0 @ X1 @ X3 @ X4 @ X2))))) )),
% 2.24/0.60 inference(sigma_proxy_clausification,[],[f136])).
% 2.24/0.60 thf(f225,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : ((((((X3 @ (sK9 @ X0 @ X1 @ X3 @ X4 @ X2)) = X4) & ('const/sets/IN' @ X1 @ (sK9 @ X0 @ X1 @ X3 @ X4 @ X2) @ X2))) = $true) | ($false = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))))) )),
% 2.24/0.60 inference(beta-eta_normalization,[],[f224])).
% 2.24/0.60 thf(f226,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (($true = (('const/sets/IN' @ X1 @ (sK9 @ X0 @ X1 @ X3 @ X4 @ X2) @ X2))) | ($false = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))))) )),
% 2.24/0.60 inference(and_proxy_clausification,[],[f225])).
% 2.24/0.60 thf(f227,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (((((X3 @ (sK9 @ X0 @ X1 @ X3 @ X4 @ X2)) = X4)) = $true) | ($false = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2))))) )),
% 2.24/0.60 inference(and_proxy_clausification,[],[f225])).
% 2.24/0.60 thf(f228,plain,(
% 2.24/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X1 > X0),X4 : X0] : (($false = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X2)))) | (((X3 @ (sK9 @ X0 @ X1 @ X3 @ X4 @ X2))) = X4)) )),
% 2.24/0.60 inference(equality_proxy_clausification,[],[f227])).
% 2.24/0.60 thf(f335,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > X0),X1 : X0,X4 : (X2 > $o)] : ((((X3 @ (sK9 @ X0 @ X2 @ X3 @ X1 @ X4))) = X1) | ($false = $true) | ($false = (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1)))) )),
% 2.24/0.60 inference(superposition,[],[f99,f228])).
% 2.24/0.60 thf(f342,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > X0),X1 : X0,X4 : (X2 > $o)] : ((((X3 @ (sK9 @ X0 @ X2 @ X3 @ X1 @ X4))) = X1) | ($false = (('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4 @ X1)))) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f335])).
% 2.24/0.60 thf(f371,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : X0,X1 : (sK0 > X0)] : (($false = (('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ sK0 @ X0 @ X1 @ sK2)))) | ($false = $true) | (((sK3 @ (sK4 @ (sK9 @ X0 @ sK0 @ X1 @ X2 @ sK2)))) = $true)) )),
% 2.24/0.60 inference(superposition,[],[f226,f153])).
% 2.24/0.60 thf(f380,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : X0,X1 : (sK0 > X0)] : (($false = (('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ sK0 @ X0 @ X1 @ sK2)))) | (((sK3 @ (sK4 @ (sK9 @ X0 @ sK0 @ X1 @ X2 @ sK2)))) = $true)) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f371])).
% 2.24/0.60 thf(f413,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (sK0 > X0),X1 : X0] : (($false = (('const/sets/IMAGE' @ sK0 @ X0 @ X2 @ sK2 @ X1))) | (((sK3 @ (sK4 @ (sK9 @ X0 @ sK0 @ X2 @ X1 @ sK2)))) = $true) | ($false = $true)) )),
% 2.24/0.60 inference(superposition,[],[f380,f99])).
% 2.24/0.60 thf(f425,plain,(
% 2.24/0.60 ( ! [X0 : $tType,X2 : (sK0 > X0),X1 : X0] : ((((sK3 @ (sK4 @ (sK9 @ X0 @ sK0 @ X2 @ X1 @ sK2)))) = $true) | ($false = (('const/sets/IMAGE' @ sK0 @ X0 @ X2 @ sK2 @ X1)))) )),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f413])).
% 2.24/0.60 thf(f1362,plain,(
% 2.24/0.60 ($false = $true) | (~spl7_1 | ~spl7_3)),
% 2.24/0.60 inference(forward_demodulation,[],[f38,f47])).
% 2.24/0.60 thf(f1363,plain,(
% 2.24/0.60 $false | (~spl7_1 | ~spl7_3)),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f1362])).
% 2.24/0.60 thf(f1364,plain,(
% 2.24/0.60 ~spl7_1 | ~spl7_3),
% 2.24/0.60 inference(avatar_contradiction_clause,[],[f1363])).
% 2.24/0.60 thf(f1525,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : (($false = (('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ X0))) | ($true = ((sK3 @ X0))) | ($false = (('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ X0)))) )),
% 2.24/0.60 inference(superposition,[],[f425,f342])).
% 2.24/0.60 thf(f1533,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : (($false = (('const/sets/IMAGE' @ sK0 @ sK1 @ sK4 @ sK2 @ X0))) | ($true = ((sK3 @ X0)))) )),
% 2.24/0.60 inference(duplicate_literal_removal,[],[f1525])).
% 2.24/0.60 thf(f1535,plain,(
% 2.24/0.60 ($false = $true) | (((sK3 @ sK6)) = $true) | ~spl7_2),
% 2.24/0.60 inference(superposition,[],[f1533,f42])).
% 2.24/0.60 thf(f1550,plain,(
% 2.24/0.60 (((sK3 @ sK6)) = $true) | ~spl7_2),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f1535])).
% 2.24/0.60 thf(f1566,plain,(
% 2.24/0.60 spl7_1 | ~spl7_2),
% 2.24/0.60 inference(avatar_split_clause,[],[f1550,f40,f36])).
% 2.24/0.60 thf(f1569,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : (((('const/sets/IN' @ sK0 @ X0 @ sK2)) = $false) | (sK6 != ((sK4 @ X0))) | ($false = $true)) ) | ~spl7_4),
% 2.24/0.60 inference(superposition,[],[f51,f209])).
% 2.24/0.60 thf(f1578,plain,(
% 2.24/0.60 ( ! [X0 : sK0] : ((sK6 != ((sK4 @ X0))) | ((('const/sets/IN' @ sK0 @ X0 @ sK2)) = $false)) ) | ~spl7_4),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f1569])).
% 2.24/0.60 thf(f1584,plain,(
% 2.24/0.60 ( ! [X0 : sK1] : ((sK6 != X0) | ($false = (('const/sets/IN' @ sK0 @ (sK5 @ X0) @ sK2))) | ($false = ((sK3 @ X0)))) ) | ~spl7_4),
% 2.24/0.60 inference(superposition,[],[f1578,f119])).
% 2.24/0.60 thf(f1590,plain,(
% 2.24/0.60 ($false = (('const/sets/IN' @ sK0 @ (sK5 @ sK6) @ sK2))) | ($false = ((sK3 @ sK6))) | ~spl7_4),
% 2.24/0.60 inference(equality_resolution,[],[f1584])).
% 2.24/0.60 thf(f1592,plain,(
% 2.24/0.60 ($false = $true) | ($false = (('const/sets/IN' @ sK0 @ (sK5 @ sK6) @ sK2))) | (~spl7_1 | ~spl7_4)),
% 2.24/0.60 inference(forward_demodulation,[],[f1590,f38])).
% 2.24/0.60 thf(f1593,plain,(
% 2.24/0.60 ($false = (('const/sets/IN' @ sK0 @ (sK5 @ sK6) @ sK2))) | (~spl7_1 | ~spl7_4)),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f1592])).
% 2.24/0.60 thf(f1609,plain,(
% 2.24/0.60 ($false = $true) | ($false = ((sK2 @ (sK5 @ sK6)))) | (~spl7_1 | ~spl7_4)),
% 2.24/0.60 inference(superposition,[],[f99,f1593])).
% 2.24/0.60 thf(f1611,plain,(
% 2.24/0.60 ($false = ((sK2 @ (sK5 @ sK6)))) | (~spl7_1 | ~spl7_4)),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f1609])).
% 2.24/0.60 thf(f1685,plain,(
% 2.24/0.60 ($false = ((sK3 @ sK6))) | ($false = $true) | (~spl7_1 | ~spl7_4)),
% 2.24/0.60 inference(superposition,[],[f1611,f173])).
% 2.24/0.60 thf(f1689,plain,(
% 2.24/0.60 ($false = ((sK3 @ sK6))) | (~spl7_1 | ~spl7_4)),
% 2.24/0.60 inference(trivial_inequality_removal,[],[f1685])).
% 2.24/0.60 thf(f1691,plain,(
% 2.24/0.60 spl7_3 | ~spl7_1 | ~spl7_4),
% 2.24/0.60 inference(avatar_split_clause,[],[f1689,f49,f36,f45])).
% 2.24/0.60 cnf(s1, plain, spl7_1 | spl7_2, inference(sat_conversion,[],[f43])).
% 2.24/0.60 cnf(s2, plain, spl7_3 | spl7_4, inference(sat_conversion,[],[f52])).
% 2.24/0.60 cnf(s9, plain, ~spl7_1 | ~spl7_3, inference(sat_conversion,[],[f1364])).
% 2.24/0.60 cnf(s12, plain, spl7_1 | ~spl7_2, inference(sat_conversion,[],[f1566])).
% 2.24/0.60 cnf(s16, plain, ~spl7_1 | spl7_3 | ~spl7_4, inference(sat_conversion,[],[f1691])).
% 2.24/0.60 cnf(s18, plain, spl7_1, inference(rat,[],[s1,s12])).
% 2.24/0.60 cnf(s19, plain, ~spl7_3, inference(rat,[],[s9,s18])).
% 2.24/0.60 cnf(s20, plain, ~spl7_4, inference(rat,[],[s16,s18,s19])).
% 2.24/0.60 cnf(s21, plain, $false, inference(rat,[],[s2,s20,s19])).
% 2.24/0.60 thf(f1692,plain,(
% 2.24/0.60 $false),
% 2.24/0.60 inference(avatar_sat_refutation,[],[s21])).
% 2.24/0.60 % SZS output end Proof for theBenchmark
% 2.24/0.60 % (1411744)------------------------------
% 2.24/0.60 % (1411744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.60 % (1411744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.60 % (1411744)CaDiCaL version: 2.1.3
% 2.24/0.60 % (1411744)Termination reason: Refutation
% 2.24/0.60 % (1411744)Time elapsed: 0.141 s
% 2.24/0.60 % (1411744)Peak memory usage: 14 MB
% 2.24/0.60 % (1411744)Instructions burned: 258 (million)
% 2.24/0.60 % (1411599)Success in time 0.364 s
% 2.24/0.60 % Vampire exiting
%------------------------------------------------------------------------------