%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT124^1 : 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 : n018.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 07:48:23 AM UTC 2026
% Result : Theorem 1.25s 0.51s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT124^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n018.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 18:00:56 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.26 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
% 0.52/0.40 % (433136)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.40 % (433167)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.40 % (433167)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
% 0.52/0.40 % (433167)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=1421789052:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.40 % (433160)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1465020287:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.40 % (433161)lrs+10_16_si=on:nwc=1.5:random_seed=4024112494:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.40 % (433162)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4104965642:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.40 % (433165)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=295668126:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.40 % (433164)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2995858925:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.40 % (433163)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=2180233961: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)
% 0.52/0.40 % (433162)Instruction limit reached!
% 0.52/0.40 % (433162)------------------------------
% 0.52/0.40 % (433162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (433162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (433162)CaDiCaL version: 2.1.3
% 0.52/0.40 % (433162)Termination reason: Instruction limit
% 0.52/0.40 % (433162)Termination phase: shuffling
% 0.52/0.40 % (433162)Time elapsed: 0.002 s
% 0.52/0.40 % (433162)Peak memory usage: 10 MB
% 0.52/0.40 % (433162)Instructions burned: 3 (million)
% 0.52/0.40 % (433161)Instruction limit reached!
% 0.52/0.40 % (433161)------------------------------
% 0.52/0.40 % (433161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (433161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (433161)CaDiCaL version: 2.1.3
% 0.52/0.40 % (433161)Termination reason: Instruction limit
% 0.52/0.40 % (433161)Termination phase: Property scanning
% 0.52/0.40 % (433161)Time elapsed: 0.012 s
% 0.52/0.40 % (433161)Peak memory usage: 10 MB
% 0.52/0.40 % (433161)Instructions burned: 26 (million)
% 0.52/0.40 % (433164)Instruction limit reached!
% 0.52/0.40 % (433164)------------------------------
% 0.52/0.40 % (433164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (433164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (433164)CaDiCaL version: 2.1.3
% 0.52/0.40 % (433164)Termination reason: Instruction limit
% 0.52/0.40 % (433164)Termination phase: Property scanning
% 0.52/0.40 % (433164)Time elapsed: 0.011 s
% 0.52/0.40 % (433164)Peak memory usage: 10 MB
% 0.52/0.40 % (433164)Instructions burned: 25 (million)
% 0.52/0.40 % (433181)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=835149486:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.40 % (433181)Instruction limit reached!
% 0.52/0.40 % (433181)------------------------------
% 0.52/0.40 % (433181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (433181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (433181)CaDiCaL version: 2.1.3
% 0.52/0.40 % (433181)Termination reason: Instruction limit
% 0.52/0.40 % (433181)Termination phase: shuffling
% 0.52/0.40 % (433181)Time elapsed: 0.002 s
% 0.52/0.40 % (433181)Peak memory usage: 10 MB
% 0.52/0.40 % (433181)Instructions burned: 3 (million)
% 0.52/0.40 % (433189)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.40 % (433187)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1671183860:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.43 % (433189)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2695089179:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.43 % (433187)Instruction limit reached!
% 0.52/0.43 % (433187)------------------------------
% 0.52/0.43 % (433187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (433187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (433187)CaDiCaL version: 2.1.3
% 0.52/0.43 % (433187)Termination reason: Instruction limit
% 0.52/0.43 % (433187)Termination phase: shuffling
% 0.52/0.43 % (433187)Time elapsed: 0.003 s
% 0.52/0.43 % (433187)Peak memory usage: 10 MB
% 0.52/0.43 % (433187)Instructions burned: 6 (million)
% 0.52/0.43 % (433165)Instruction limit reached!
% 0.52/0.43 % (433165)------------------------------
% 0.52/0.43 % (433165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (433165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (433165)CaDiCaL version: 2.1.3
% 0.52/0.43 % (433165)Termination reason: Instruction limit
% 0.52/0.43 % (433165)Termination phase: Property scanning
% 0.52/0.43 % (433165)Time elapsed: 0.034 s
% 0.52/0.43 % (433165)Peak memory usage: 12 MB
% 0.52/0.43 % (433165)Instructions burned: 75 (million)
% 0.52/0.43 % (433167)Instruction limit reached!
% 0.52/0.43 % (433167)------------------------------
% 0.52/0.43 % (433167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (433167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (433167)CaDiCaL version: 2.1.3
% 0.52/0.43 % (433167)Termination reason: Instruction limit
% 0.52/0.43 % (433167)Termination phase: Saturation
% 0.52/0.43 % (433167)Time elapsed: 0.043 s
% 0.52/0.43 % (433167)Peak memory usage: 13 MB
% 0.52/0.43 % (433167)Instructions burned: 159 (million)
% 0.52/0.43 % (433189)Instruction limit reached!
% 0.52/0.43 % (433189)------------------------------
% 0.52/0.43 % (433189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (433189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (433189)CaDiCaL version: 2.1.3
% 0.52/0.43 % (433189)Termination reason: Instruction limit
% 0.52/0.43 % (433189)Termination phase: shuffling
% 0.52/0.43 % (433189)Time elapsed: 0.004 s
% 0.52/0.43 % (433189)Peak memory usage: 10 MB
% 0.52/0.43 % (433189)Instructions burned: 7 (million)
% 0.52/0.43 % (433160)Instruction limit reached!
% 0.52/0.43 % (433160)------------------------------
% 0.52/0.43 % (433160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (433160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (433160)CaDiCaL version: 2.1.3
% 0.52/0.43 % (433160)Termination reason: Instruction limit
% 0.52/0.43 % (433160)Termination phase: Property scanning
% 0.52/0.43 % (433160)Time elapsed: 0.041 s
% 0.52/0.43 % (433160)Peak memory usage: 12 MB
% 0.52/0.43 % (433160)Instructions burned: 87 (million)
% 0.52/0.43 % (433192)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1872668060:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.43 % (433198)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=519379566:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.43 % (433197)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
% 0.52/0.43 % (433197)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.43 % (433192)Instruction limit reached!
% 0.52/0.43 % (433192)------------------------------
% 0.52/0.43 % (433192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (433192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (433192)CaDiCaL version: 2.1.3
% 0.52/0.43 % (433192)Termination reason: Instruction limit
% 0.52/0.43 % (433192)Termination phase: shuffling
% 0.52/0.43 % (433192)Time elapsed: 0.006 s
% 0.52/0.43 % (433192)Peak memory usage: 10 MB
% 0.52/0.46 % (433192)Instructions burned: 13 (million)
% 0.52/0.46 % (433201)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.52/0.46 % (433197)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2779520309:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.46 % (433199)lrs+10_1_si=on:cs=on:random_seed=3777428466:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.46 % (433201)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=1624793128:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.46 % (433201)Instruction limit reached!
% 0.52/0.46 % (433201)------------------------------
% 0.52/0.46 % (433201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (433201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (433201)CaDiCaL version: 2.1.3
% 0.52/0.46 % (433201)Termination reason: Instruction limit
% 0.52/0.46 % (433201)Termination phase: shuffling
% 0.52/0.46 % (433201)Time elapsed: 0.002 s
% 0.52/0.46 % (433201)Peak memory usage: 10 MB
% 0.52/0.46 % (433201)Instructions burned: 3 (million)
% 0.52/0.46 % (433199)Instruction limit reached!
% 0.52/0.46 % (433199)------------------------------
% 0.52/0.46 % (433199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (433199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (433199)CaDiCaL version: 2.1.3
% 0.52/0.46 % (433199)Termination reason: Instruction limit
% 0.52/0.46 % (433199)Termination phase: shuffling
% 0.52/0.46 % (433199)Time elapsed: 0.004 s
% 0.52/0.46 % (433199)Peak memory usage: 10 MB
% 0.52/0.46 % (433199)Instructions burned: 8 (million)
% 0.52/0.46 % (433204)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=893403330:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.52/0.46 % (433197)Instruction limit reached!
% 0.52/0.46 % (433197)------------------------------
% 0.52/0.46 % (433197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (433197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (433197)CaDiCaL version: 2.1.3
% 0.52/0.46 % (433197)Termination reason: Instruction limit
% 0.52/0.46 % (433197)Termination phase: shuffling
% 0.52/0.46 % (433197)Time elapsed: 0.013 s
% 0.52/0.46 % (433197)Peak memory usage: 10 MB
% 0.52/0.46 % (433197)Instructions burned: 28 (million)
% 0.52/0.46 % (433198)Instruction limit reached!
% 0.52/0.46 % (433198)------------------------------
% 0.52/0.46 % (433198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (433198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (433198)CaDiCaL version: 2.1.3
% 0.52/0.46 % (433198)Termination reason: Instruction limit
% 0.52/0.46 % (433198)Termination phase: Property scanning
% 0.52/0.46 % (433198)Time elapsed: 0.020 s
% 0.52/0.46 % (433198)Peak memory usage: 11 MB
% 0.52/0.46 % (433198)Instructions burned: 90 (million)
% 0.52/0.46 % (433211)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4231578568:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.52/0.46 % (433217)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3872647140:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.52/0.46 % (433226)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=368547282:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.46 % (433219)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2214342557:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.46 % (433204)Instruction limit reached!
% 0.52/0.46 % (433204)------------------------------
% 0.52/0.46 % (433204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.46 % (433204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.46 % (433204)CaDiCaL version: 2.1.3
% 0.52/0.46 % (433204)Termination reason: Instruction limit
% 0.52/0.46 % (433204)Termination phase: Property scanning
% 1.25/0.51 % (433204)Time elapsed: 0.018 s
% 1.25/0.51 % (433204)Peak memory usage: 11 MB
% 1.25/0.51 % (433204)Instructions burned: 39 (million)
% 1.25/0.51 % (433226)Instruction limit reached!
% 1.25/0.51 % (433226)------------------------------
% 1.25/0.51 % (433226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433226)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433226)Termination reason: Instruction limit
% 1.25/0.51 % (433226)Termination phase: Property scanning
% 1.25/0.51 % (433226)Time elapsed: 0.004 s
% 1.25/0.51 % (433226)Peak memory usage: 10 MB
% 1.25/0.51 % (433226)Instructions burned: 17 (million)
% 1.25/0.51 % (433225)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4114448663:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.25/0.51 % (433219)Instruction limit reached!
% 1.25/0.51 % (433219)------------------------------
% 1.25/0.51 % (433219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433219)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433219)Termination reason: Instruction limit
% 1.25/0.51 % (433219)Termination phase: shuffling
% 1.25/0.51 % (433219)Time elapsed: 0.007 s
% 1.25/0.51 % (433219)Peak memory usage: 10 MB
% 1.25/0.51 % (433219)Instructions burned: 15 (million)
% 1.25/0.51 % (433211)Refutation not found, incomplete strategy
% 1.25/0.51 % (433211)------------------------------
% 1.25/0.51 % (433211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433211)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433211)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.51 % (433211)Time elapsed: 0.018 s
% 1.25/0.51 % (433211)Peak memory usage: 13 MB
% 1.25/0.51 % (433211)Instructions burned: 36 (million)
% 1.25/0.51 % (433211)------------------------------
% 1.25/0.51 % (433211)------------------------------
% 1.25/0.51 % (433217)Instruction limit reached!
% 1.25/0.51 % (433217)------------------------------
% 1.25/0.51 % (433217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433217)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433217)Termination reason: Instruction limit
% 1.25/0.51 % (433217)Termination phase: Property scanning
% 1.25/0.51 % (433217)Time elapsed: 0.012 s
% 1.25/0.51 % (433217)Peak memory usage: 10 MB
% 1.25/0.51 % (433217)Instructions burned: 27 (million)
% 1.25/0.51 % (433235)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3083903277:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.25/0.51 % (433232)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3283919462: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)
% 1.25/0.51 % (433235)Instruction limit reached!
% 1.25/0.51 % (433235)------------------------------
% 1.25/0.51 % (433235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433235)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433235)Termination reason: Instruction limit
% 1.25/0.51 % (433235)Termination phase: shuffling
% 1.25/0.51 % (433235)Time elapsed: 0.006 s
% 1.25/0.51 % (433235)Peak memory usage: 10 MB
% 1.25/0.51 % (433235)Instructions burned: 27 (million)
% 1.25/0.51 % (433232)Instruction limit reached!
% 1.25/0.51 % (433232)------------------------------
% 1.25/0.51 % (433232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433232)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433232)Termination reason: Instruction limit
% 1.25/0.51 % (433232)Termination phase: shuffling
% 1.25/0.51 % (433232)Time elapsed: 0.002 s
% 1.25/0.51 % (433232)Peak memory usage: 10 MB
% 1.25/0.51 % (433232)Instructions burned: 3 (million)
% 1.25/0.51 % (433238)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2914256623:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.25/0.51 % (433240)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
% 1.25/0.51 % (433240)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.25/0.51 % (433245)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.25/0.51 % (433239)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=12168560:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.25/0.51 % (433240)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=1760911581:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.25/0.51 % (433245)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=2701287579:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.25/0.51 % (433245)Instruction limit reached!
% 1.25/0.51 % (433245)------------------------------
% 1.25/0.51 % (433245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433245)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433245)Termination reason: Instruction limit
% 1.25/0.51 % (433245)Termination phase: shuffling
% 1.25/0.51 % (433245)Time elapsed: 0.002 s
% 1.25/0.51 % (433245)Peak memory usage: 10 MB
% 1.25/0.51 % (433245)Instructions burned: 9 (million)
% 1.25/0.51 % (433240)Instruction limit reached!
% 1.25/0.51 % (433240)------------------------------
% 1.25/0.51 % (433240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433240)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433240)Termination reason: Instruction limit
% 1.25/0.51 % (433240)Termination phase: shuffling
% 1.25/0.51 % (433240)Time elapsed: 0.006 s
% 1.25/0.51 % (433240)Peak memory usage: 10 MB
% 1.25/0.51 % (433240)Instructions burned: 14 (million)
% 1.25/0.51 % (433238)Instruction limit reached!
% 1.25/0.51 % (433238)------------------------------
% 1.25/0.51 % (433238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433238)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433238)Termination reason: Instruction limit
% 1.25/0.51 % (433238)Termination phase: Property scanning
% 1.25/0.51 % (433238)Time elapsed: 0.011 s
% 1.25/0.51 % (433238)Peak memory usage: 10 MB
% 1.25/0.51 % (433238)Instructions burned: 25 (million)
% 1.25/0.51 % (433247)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=3262120578:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.25/0.51 % (433255)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4036413917:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.25/0.51 % (433255)Instruction limit reached!
% 1.25/0.51 % (433255)------------------------------
% 1.25/0.51 % (433255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433255)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433255)Termination reason: Instruction limit
% 1.25/0.51 % (433255)Termination phase: shuffling
% 1.25/0.51 % (433255)Time elapsed: 0.003 s
% 1.25/0.51 % (433255)Peak memory usage: 10 MB
% 1.25/0.51 % (433255)Instructions burned: 14 (million)
% 1.25/0.51 % (433247)Instruction limit reached!
% 1.25/0.51 % (433247)------------------------------
% 1.25/0.51 % (433247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433247)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433247)Termination reason: Instruction limit
% 1.25/0.51 % (433247)Termination phase: Property scanning
% 1.25/0.51 % (433247)Time elapsed: 0.014 s
% 1.25/0.51 % (433247)Peak memory usage: 10 MB
% 1.25/0.51 % (433247)Instructions burned: 31 (million)
% 1.25/0.51 % (433258)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2789916403:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.25/0.51 % (433260)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1058895310:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.25/0.51 % (433239)Instruction limit reached!
% 1.25/0.51 % (433239)------------------------------
% 1.25/0.51 % (433239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433239)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433239)Termination reason: Instruction limit
% 1.25/0.51 % (433239)Termination phase: Property scanning
% 1.25/0.51 % (433239)Time elapsed: 0.028 s
% 1.25/0.51 % (433239)Peak memory usage: 11 MB
% 1.25/0.51 % (433239)Instructions burned: 61 (million)
% 1.25/0.51 % (433266)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3374245338:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.25/0.51 % (433258)Instruction limit reached!
% 1.25/0.51 % (433258)------------------------------
% 1.25/0.51 % (433258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433258)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433258)Termination reason: Instruction limit
% 1.25/0.51 % (433258)Termination phase: shuffling
% 1.25/0.51 % (433258)Time elapsed: 0.011 s
% 1.25/0.51 % (433258)Peak memory usage: 10 MB
% 1.25/0.51 % (433258)Instructions burned: 24 (million)
% 1.25/0.51 % (433260)Instruction limit reached!
% 1.25/0.51 % (433260)------------------------------
% 1.25/0.51 % (433260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433260)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433260)Termination reason: Instruction limit
% 1.25/0.51 % (433260)Termination phase: Property scanning
% 1.25/0.51 % (433260)Time elapsed: 0.010 s
% 1.25/0.51 % (433260)Peak memory usage: 10 MB
% 1.25/0.51 % (433260)Instructions burned: 22 (million)
% 1.25/0.51 % (433271)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2953666049:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.25/0.51 % (433274)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=766158418:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.25/0.51 % (433278)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.25/0.51 % (433277)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3524321352:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.25/0.51 % (433278)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=300627868:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.25/0.51 % (433278)Instruction limit reached!
% 1.25/0.51 % (433278)------------------------------
% 1.25/0.51 % (433278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433278)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433278)Termination reason: Instruction limit
% 1.25/0.51 % (433278)Termination phase: shuffling
% 1.25/0.51 % (433278)Time elapsed: 0.004 s
% 1.25/0.51 % (433278)Peak memory usage: 10 MB
% 1.25/0.51 % (433278)Instructions burned: 9 (million)
% 1.25/0.51 % (433277)Instruction limit reached!
% 1.25/0.51 % (433277)------------------------------
% 1.25/0.51 % (433277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433277)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433277)Termination reason: Instruction limit
% 1.25/0.51 % (433277)Termination phase: Preprocessing 3
% 1.25/0.51 % (433277)Time elapsed: 0.020 s
% 1.25/0.51 % (433277)Peak memory usage: 11 MB
% 1.25/0.51 % (433277)Instructions burned: 44 (million)
% 1.25/0.51 % (433266) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-433136-433266"...
% 1.25/0.51 % (433266)...printing done.
% 1.25/0.51 % (433266)Refutation found. Thanks to Tanya!
% 1.25/0.51 % SZS status Theorem for theBenchmark
% 1.25/0.51 % SZS output start Proof for theBenchmark
% 1.25/0.51 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 1.25/0.51 thf(type_def_6, type, extended_enat: $tType).
% 1.25/0.51 thf(type_def_7, type, itself: $tType > $tType).
% 1.25/0.51 thf(type_def_8, type, a: $tType).
% 1.25/0.51 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.25/0.51 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_3, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_4, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_5, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_8, type, ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_11, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_12, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_13, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_14, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_15, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_16, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_17, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_18, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_19, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_20, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_21, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_22, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_23, type, ordere223160158up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_24, type, ordere623563068d_diff: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_25, type, strict2144017051up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_26, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_27, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.25/0.51 thf(func_def_28, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.25/0.51 thf(func_def_29, type, coindu191418589_ldrop: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.25/0.51 thf(func_def_30, type, coindu1018505716length: !>[X0: $tType]:((coindu1593790203_llist @ X0 > extended_enat))).
% 1.25/0.51 thf(func_def_31, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 1.25/0.51 thf(func_def_32, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 1.25/0.51 thf(func_def_33, type, coindu1696667936prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 1.25/0.51 thf(func_def_34, type, coindu574146665prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 1.25/0.51 thf(func_def_35, type, coindu1802687541_ltake: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.25/0.51 thf(func_def_36, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.25/0.51 thf(func_def_37, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.25/0.51 thf(func_def_38, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.25/0.51 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.25/0.51 thf(func_def_40, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.25/0.51 thf(func_def_41, type, xs: coindu1593790203_llist @ a).
% 1.25/0.51 thf(func_def_42, type, xs2: coindu1593790203_llist @ a).
% 1.25/0.51 thf(func_def_43, type, ys: coindu1593790203_llist @ a).
% 1.25/0.51 thf(func_def_44, type, zs: coindu1593790203_llist @ a).
% 1.25/0.51 thf(func_def_46, type, vIMP: ($o > $o > $o)).
% 1.25/0.51 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.25/0.51 thf(func_def_48, type, db0: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_49, type, db1: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_50, type, vNOT: ($o > $o)).
% 1.25/0.51 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_52, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.25/0.51 thf(func_def_55, type, vOR: ($o > $o > $o)).
% 1.25/0.51 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.25/0.51 thf(func_def_57, type, vAND: ($o > $o > $o)).
% 1.25/0.51 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.25/0.51 thf(func_def_59, type, db3: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_61, type, db5: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_62, type, sK0: !>[X0: $tType]:((X0 > X0))).
% 1.25/0.51 thf(func_def_64, type, sK2: !>[X0: $tType]:(X0)).
% 1.25/0.51 thf(func_def_65, type, sK3: !>[X0: $tType]:((X0 > X0))).
% 1.25/0.51 thf(f1,axiom,(
% 1.25/0.51 ~(ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))),
% 1.25/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060not_062_Allength_Ays_A_092_060le_062_Allength_Axs_092_060close_062)).
% 1.25/0.51 thf(f138,axiom,(
% 1.25/0.51 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : ((ord_less_eq @ X0 @ X1 @ X2) | (ord_less @ X0 @ X2 @ X1)))),
% 1.25/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_le__less__linear)).
% 1.25/0.51 thf(f270,axiom,(
% 1.25/0.51 (linorder @ extended_enat @ type2 @ extended_enat)),
% 1.25/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_5)).
% 1.25/0.51 thf(f273,conjecture,(
% 1.25/0.51 (ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))),
% 1.25/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.25/0.51 thf(f274,negated_conjecture,(
% 1.25/0.51 ~(ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))),
% 1.25/0.51 inference(negated_conjecture,[status(cth)],[f273])).
% 1.25/0.51 thf(f304,plain,(
% 1.25/0.51 ~(ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))),
% 1.25/0.51 inference(rectify,[],[f274])).
% 1.25/0.51 thf(f305,plain,(
% 1.25/0.51 ($true = ((~ (ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys)))))),
% 1.25/0.51 inference(fool_elimination,[],[f304])).
% 1.25/0.51 thf(f679,plain,(
% 1.25/0.51 (linorder @ extended_enat @ type2 @ extended_enat)),
% 1.25/0.51 inference(rectify,[],[f270])).
% 1.25/0.51 thf(f680,plain,(
% 1.25/0.51 (((linorder @ extended_enat @ type2 @ extended_enat)) = $true)),
% 1.25/0.51 inference(fool_elimination,[],[f679])).
% 1.25/0.51 thf(f709,plain,(
% 1.25/0.51 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : ((ord_less_eq @ X0 @ X1 @ X2) | (ord_less @ X0 @ X2 @ X1)))),
% 1.25/0.51 inference(rectify,[],[f138])).
% 1.25/0.51 thf(f710,plain,(
% 1.25/0.51 ( ! [X0 : $tType] : (((((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less @ X0 @ Y0 @ Y1) | (ord_less_eq @ X0 @ Y1 @ Y0)))))))) = $true)) )),
% 1.25/0.51 inference(fool_elimination,[],[f709])).
% 1.25/0.51 thf(f799,plain,(
% 1.25/0.51 ~(ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))),
% 1.25/0.51 inference(rectify,[],[f1])).
% 1.25/0.51 thf(f800,plain,(
% 1.25/0.51 ($true = ((~ (ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs)))))),
% 1.25/0.51 inference(fool_elimination,[],[f799])).
% 1.25/0.51 thf(f1019,plain,(
% 1.25/0.51 ! [X0 : $tType] : ((((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less @ X0 @ Y0 @ Y1) | (ord_less_eq @ X0 @ Y1 @ Y0)))))))) = $true)),
% 1.25/0.51 inference(closure,[],[f710])).
% 1.25/0.51 thf(f1154,plain,(
% 1.25/0.51 ( ! [X0 : $tType] : (((((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less @ X0 @ Y0 @ Y1) | (ord_less_eq @ X0 @ Y1 @ Y0)))))))) = $true)) )),
% 1.25/0.51 inference(cnf_transformation,[],[f1019])).
% 1.25/0.51 thf(f1248,plain,(
% 1.25/0.51 ($true = ((~ (ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys)))))),
% 1.25/0.51 inference(cnf_transformation,[],[f305])).
% 1.25/0.51 thf(f1279,plain,(
% 1.25/0.51 ($true = ((~ (ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs)))))),
% 1.25/0.51 inference(cnf_transformation,[],[f800])).
% 1.25/0.51 thf(f1332,plain,(
% 1.25/0.51 (((linorder @ extended_enat @ type2 @ extended_enat)) = $true)),
% 1.25/0.51 inference(cnf_transformation,[],[f680])).
% 1.25/0.51 thf(f1393,plain,(
% 1.25/0.51 (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $false)),
% 1.25/0.51 inference(not_proxy_clausification,[],[f1248])).
% 1.25/0.51 thf(f1427,plain,(
% 1.25/0.51 ( ! [X0 : $tType] : ((((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less @ X0 @ Y0 @ Y1) | (ord_less_eq @ X0 @ Y1 @ Y0))))))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 1.25/0.51 inference(imp_proxy_clausification,[],[f1154])).
% 1.25/0.51 thf(f1457,plain,(
% 1.25/0.51 (((ord_less_eq @ extended_enat @ (coindu1018505716length @ a @ ys) @ (coindu1018505716length @ a @ xs))) = $false)),
% 1.25/0.51 inference(not_proxy_clausification,[],[f1279])).
% 1.25/0.51 thf(f1837,plain,(
% 1.25/0.51 ( ! [X0 : $tType,X1 : X0] : ((((linorder @ X0 @ type2 @ X0)) = $false) | ($true = (((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less @ X0 @ Y0 @ Y1) | (ord_less_eq @ X0 @ Y1 @ Y0))))) @ X1)))) )),
% 1.25/0.51 inference(pi_proxy_clausification,[],[f1427])).
% 1.25/0.51 thf(f1838,plain,(
% 1.25/0.51 ( ! [X0 : $tType,X1 : X0] : (($true = ((!! @ X0 @ (^[Y0 : X0]: ((ord_less @ X0 @ X1 @ Y0) | (ord_less_eq @ X0 @ Y0 @ X1)))))) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 1.25/0.51 inference(beta-eta_normalization,[],[f1837])).
% 1.25/0.51 thf(f1839,plain,(
% 1.25/0.51 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((((^[Y0 : X0]: ((ord_less @ X0 @ X1 @ Y0) | (ord_less_eq @ X0 @ Y0 @ X1))) @ X2)) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 1.25/0.51 inference(pi_proxy_clausification,[],[f1838])).
% 1.25/0.51 thf(f1840,plain,(
% 1.25/0.51 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = (((ord_less @ X0 @ X1 @ X2) | (ord_less_eq @ X0 @ X2 @ X1)))) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 1.25/0.51 inference(beta-eta_normalization,[],[f1839])).
% 1.25/0.51 thf(f1841,plain,(
% 1.25/0.51 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((ord_less_eq @ X0 @ X2 @ X1)) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false) | (((ord_less @ X0 @ X1 @ X2)) = $true)) )),
% 1.25/0.51 inference(or_proxy_clausification,[],[f1840])).
% 1.25/0.51 thf(f1842,plain,(
% 1.25/0.51 (((linorder @ extended_enat @ type2 @ extended_enat)) = $false) | ($false = $true) | (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 1.25/0.51 inference(superposition,[],[f1841,f1457])).
% 1.25/0.51 thf(f1844,plain,(
% 1.25/0.51 (((linorder @ extended_enat @ type2 @ extended_enat)) = $false) | (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 1.25/0.51 inference(trivial_inequality_removal,[],[f1842])).
% 1.25/0.51 thf(f1846,plain,(
% 1.25/0.51 ($false = $true) | (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 1.25/0.51 inference(forward_demodulation,[],[f1844,f1332])).
% 1.25/0.51 thf(f1847,plain,(
% 1.25/0.51 (((ord_less @ extended_enat @ (coindu1018505716length @ a @ xs) @ (coindu1018505716length @ a @ ys))) = $true)),
% 1.25/0.51 inference(trivial_inequality_removal,[],[f1846])).
% 1.25/0.51 thf(f1850,plain,(
% 1.25/0.51 ($false = $true)),
% 1.25/0.51 inference(forward_demodulation,[],[f1847,f1393])).
% 1.25/0.51 thf(f1851,plain,(
% 1.25/0.51 $false),
% 1.25/0.51 inference(trivial_inequality_removal,[],[f1850])).
% 1.25/0.51 % SZS output end Proof for theBenchmark
% 1.25/0.51 % (433266)------------------------------
% 1.25/0.51 % (433266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.51 % (433266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.51 % (433266)CaDiCaL version: 2.1.3
% 1.25/0.51 % (433266)Termination reason: Refutation
% 1.25/0.51 % (433266)Time elapsed: 0.047 s
% 1.25/0.51 % (433266)Peak memory usage: 14 MB
% 1.25/0.51 % (433266)Instructions burned: 188 (million)
% 1.25/0.51 % (433136)Success in time 0.243 s
% 1.25/0.51 % Vampire exiting
%------------------------------------------------------------------------------