%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT150^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 07:48:26 AM UTC 2026
% Result : Theorem 2.31s 0.64s
% Output : Refutation 2.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT150^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 18:03:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.43 % (2857995)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.59/0.43 % (2858004)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3460579023:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.59/0.43 % (2858006)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.59/0.43 % (2858006)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
% 0.59/0.43 % (2858004)Instruction limit reached!
% 0.59/0.43 % (2858004)------------------------------
% 0.59/0.43 % (2858004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (2858004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (2858004)CaDiCaL version: 2.1.3
% 0.59/0.43 % (2858004)Termination reason: Instruction limit
% 0.59/0.43 % (2858004)Termination phase: Property scanning
% 0.59/0.43 % (2858004)Time elapsed: 0.007 s
% 0.59/0.43 % (2858004)Peak memory usage: 10 MB
% 0.59/0.43 % (2858004)Instructions burned: 27 (million)
% 0.59/0.43 % (2858002)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3664434495:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.59/0.43 % (2858000)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4169587962:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.59/0.43 % (2858001)lrs+10_16_si=on:nwc=1.5:random_seed=4216180063:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.59/0.43 % (2858003)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=1608489006: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)
% 0.59/0.43 % (2858005)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2413924287:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.59/0.43 % (2858006)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=1597651256:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.59/0.43 % (2858002)Instruction limit reached!
% 0.59/0.43 % (2858002)------------------------------
% 0.59/0.43 % (2858002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (2858002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (2858002)CaDiCaL version: 2.1.3
% 0.59/0.43 % (2858002)Termination reason: Instruction limit
% 0.59/0.43 % (2858002)Termination phase: shuffling
% 0.59/0.43 % (2858002)Time elapsed: 0.003 s
% 0.59/0.43 % (2858002)Peak memory usage: 10 MB
% 0.59/0.43 % (2858002)Instructions burned: 5 (million)
% 0.59/0.43 % (2858001)Instruction limit reached!
% 0.59/0.43 % (2858001)------------------------------
% 0.59/0.43 % (2858001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (2858001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (2858001)CaDiCaL version: 2.1.3
% 0.59/0.43 % (2858001)Termination reason: Instruction limit
% 0.59/0.43 % (2858001)Termination phase: shuffling
% 0.59/0.43 % (2858001)Time elapsed: 0.009 s
% 0.59/0.43 % (2858001)Peak memory usage: 10 MB
% 0.59/0.43 % (2858001)Instructions burned: 18 (million)
% 0.59/0.43 % (2858011)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4012891472:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.43 % (2858011)Instruction limit reached!
% 0.59/0.43 % (2858011)------------------------------
% 0.59/0.43 % (2858011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.43 % (2858011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.43 % (2858011)CaDiCaL version: 2.1.3
% 0.59/0.43 % (2858011)Termination reason: Instruction limit
% 0.59/0.43 % (2858011)Termination phase: shuffling
% 0.59/0.43 % (2858011)Time elapsed: 0.001 s
% 0.59/0.43 % (2858011)Peak memory usage: 10 MB
% 0.59/0.43 % (2858011)Instructions burned: 3 (million)
% 0.59/0.43 % (2858015)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3936131786:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.59/0.46 % (2858017)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.46 % (2858015)Instruction limit reached!
% 0.59/0.46 % (2858015)------------------------------
% 0.59/0.46 % (2858015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (2858015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (2858015)CaDiCaL version: 2.1.3
% 0.59/0.46 % (2858015)Termination reason: Instruction limit
% 0.59/0.46 % (2858015)Termination phase: shuffling
% 0.59/0.46 % (2858015)Time elapsed: 0.003 s
% 0.59/0.46 % (2858015)Peak memory usage: 10 MB
% 0.59/0.46 % (2858015)Instructions burned: 5 (million)
% 0.59/0.46 % (2858017)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1512591150:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.59/0.46 % (2858017)Instruction limit reached!
% 0.59/0.46 % (2858017)------------------------------
% 0.59/0.46 % (2858017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (2858017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (2858017)CaDiCaL version: 2.1.3
% 0.59/0.46 % (2858017)Termination reason: Instruction limit
% 0.59/0.46 % (2858017)Termination phase: shuffling
% 0.59/0.46 % (2858017)Time elapsed: 0.003 s
% 0.59/0.46 % (2858017)Peak memory usage: 10 MB
% 0.59/0.46 % (2858017)Instructions burned: 13 (million)
% 0.59/0.46 % (2858005)Instruction limit reached!
% 0.59/0.46 % (2858005)------------------------------
% 0.59/0.46 % (2858005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (2858005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (2858005)CaDiCaL version: 2.1.3
% 0.59/0.46 % (2858005)Termination reason: Instruction limit
% 0.59/0.46 % (2858005)Termination phase: Property scanning
% 0.59/0.46 % (2858005)Time elapsed: 0.037 s
% 0.59/0.46 % (2858005)Peak memory usage: 12 MB
% 0.59/0.46 % (2858005)Instructions burned: 77 (million)
% 0.59/0.46 % (2858018)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3579571381:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.59/0.46 % (2858021)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
% 0.59/0.46 % (2858021)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.46 % (2858000)Instruction limit reached!
% 0.59/0.46 % (2858000)------------------------------
% 0.59/0.46 % (2858000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (2858000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (2858000)CaDiCaL version: 2.1.3
% 0.59/0.46 % (2858000)Termination reason: Instruction limit
% 0.59/0.46 % (2858000)Termination phase: Property scanning
% 0.59/0.46 % (2858000)Time elapsed: 0.042 s
% 0.59/0.46 % (2858000)Peak memory usage: 12 MB
% 0.59/0.46 % (2858000)Instructions burned: 89 (million)
% 0.59/0.46 % (2858022)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=1633761194:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.59/0.46 % (2858021)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2984234671:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.59/0.46 % (2858018)Instruction limit reached!
% 0.59/0.46 % (2858018)------------------------------
% 0.59/0.46 % (2858018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.46 % (2858018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.46 % (2858018)CaDiCaL version: 2.1.3
% 0.59/0.46 % (2858018)Termination reason: Instruction limit
% 0.59/0.46 % (2858018)Termination phase: shuffling
% 0.59/0.46 % (2858018)Time elapsed: 0.011 s
% 0.59/0.46 % (2858018)Peak memory usage: 10 MB
% 0.59/0.46 % (2858018)Instructions burned: 12 (million)
% 0.59/0.46 % (2858024)lrs+10_1_si=on:cs=on:random_seed=309609748:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.59/0.46 % (2858026)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.18/0.49 % (2858021)Instruction limit reached!
% 1.18/0.49 % (2858021)------------------------------
% 1.18/0.49 % (2858021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (2858021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (2858021)CaDiCaL version: 2.1.3
% 1.18/0.49 % (2858021)Termination reason: Instruction limit
% 1.18/0.49 % (2858021)Termination phase: shuffling
% 1.18/0.49 % (2858021)Time elapsed: 0.014 s
% 1.18/0.49 % (2858021)Peak memory usage: 11 MB
% 1.18/0.49 % (2858021)Instructions burned: 30 (million)
% 1.18/0.49 % (2858026)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=1628587033:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.18/0.49 % (2858024)Instruction limit reached!
% 1.18/0.49 % (2858024)------------------------------
% 1.18/0.49 % (2858024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (2858024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (2858024)CaDiCaL version: 2.1.3
% 1.18/0.49 % (2858024)Termination reason: Instruction limit
% 1.18/0.49 % (2858024)Termination phase: shuffling
% 1.18/0.49 % (2858024)Time elapsed: 0.004 s
% 1.18/0.49 % (2858024)Peak memory usage: 10 MB
% 1.18/0.49 % (2858024)Instructions burned: 8 (million)
% 1.18/0.49 % (2858026)Instruction limit reached!
% 1.18/0.49 % (2858026)------------------------------
% 1.18/0.49 % (2858026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (2858026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (2858026)CaDiCaL version: 2.1.3
% 1.18/0.49 % (2858026)Termination reason: Instruction limit
% 1.18/0.49 % (2858026)Termination phase: shuffling
% 1.18/0.49 % (2858026)Time elapsed: 0.001 s
% 1.18/0.49 % (2858026)Peak memory usage: 10 MB
% 1.18/0.49 % (2858026)Instructions burned: 2 (million)
% 1.18/0.49 % (2858022)Instruction limit reached!
% 1.18/0.49 % (2858022)------------------------------
% 1.18/0.49 % (2858022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (2858022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (2858022)CaDiCaL version: 2.1.3
% 1.18/0.49 % (2858022)Termination reason: Instruction limit
% 1.18/0.49 % (2858022)Termination phase: Property scanning
% 1.18/0.49 % (2858022)Time elapsed: 0.022 s
% 1.18/0.49 % (2858022)Peak memory usage: 11 MB
% 1.18/0.49 % (2858022)Instructions burned: 98 (million)
% 1.18/0.49 % (2858028)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4242757383:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.18/0.49 % (2858034)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=995231866:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.18/0.49 % (2858030)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1220336431:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.18/0.49 % (2858006)Instruction limit reached!
% 1.18/0.49 % (2858006)------------------------------
% 1.18/0.49 % (2858006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (2858006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (2858006)CaDiCaL version: 2.1.3
% 1.18/0.49 % (2858006)Termination reason: Instruction limit
% 1.18/0.49 % (2858006)Termination phase: Saturation
% 1.18/0.49 % (2858006)Time elapsed: 0.079 s
% 1.18/0.49 % (2858006)Peak memory usage: 14 MB
% 1.18/0.49 % (2858006)Instructions burned: 157 (million)
% 1.18/0.49 % (2858032)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=120773126:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.18/0.49 % (2858033)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1598818864:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.18/0.49 % (2858028)Instruction limit reached!
% 1.18/0.49 % (2858028)------------------------------
% 1.18/0.49 % (2858028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (2858028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.53 % (2858028)CaDiCaL version: 2.1.3
% 1.18/0.53 % (2858028)Termination reason: Instruction limit
% 1.18/0.53 % (2858028)Termination phase: Preprocessing 3
% 1.18/0.53 % (2858028)Time elapsed: 0.019 s
% 1.18/0.53 % (2858028)Peak memory usage: 11 MB
% 1.18/0.53 % (2858028)Instructions burned: 38 (million)
% 1.18/0.53 % (2858033)Instruction limit reached!
% 1.18/0.53 % (2858033)------------------------------
% 1.18/0.53 % (2858033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.53 % (2858033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.53 % (2858033)CaDiCaL version: 2.1.3
% 1.18/0.53 % (2858033)Termination reason: Instruction limit
% 1.18/0.53 % (2858033)Termination phase: shuffling
% 1.18/0.53 % (2858033)Time elapsed: 0.007 s
% 1.18/0.53 % (2858033)Peak memory usage: 10 MB
% 1.18/0.53 % (2858033)Instructions burned: 14 (million)
% 1.18/0.53 % (2858032)Instruction limit reached!
% 1.18/0.53 % (2858032)------------------------------
% 1.18/0.53 % (2858032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.53 % (2858032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.53 % (2858032)CaDiCaL version: 2.1.3
% 1.18/0.53 % (2858032)Termination reason: Instruction limit
% 1.18/0.53 % (2858032)Termination phase: Property scanning
% 1.18/0.53 % (2858032)Time elapsed: 0.013 s
% 1.18/0.53 % (2858032)Peak memory usage: 10 MB
% 1.18/0.53 % (2858032)Instructions burned: 27 (million)
% 1.18/0.53 % (2858030)Refutation not found, incomplete strategy
% 1.18/0.53 % (2858030)------------------------------
% 1.18/0.53 % (2858030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.53 % (2858030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.53 % (2858030)CaDiCaL version: 2.1.3
% 1.18/0.53 % (2858030)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.53 % (2858030)Time elapsed: 0.020 s
% 1.18/0.53 % (2858030)Peak memory usage: 13 MB
% 1.18/0.53 % (2858030)Instructions burned: 38 (million)
% 1.18/0.53 % (2858030)------------------------------
% 1.18/0.53 % (2858030)------------------------------
% 1.18/0.53 % (2858039)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2660360442:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.18/0.53 % (2858039)Instruction limit reached!
% 1.18/0.53 % (2858039)------------------------------
% 1.18/0.53 % (2858039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.53 % (2858039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.53 % (2858039)CaDiCaL version: 2.1.3
% 1.18/0.53 % (2858039)Termination reason: Instruction limit
% 1.18/0.53 % (2858039)Termination phase: shuffling
% 1.18/0.53 % (2858039)Time elapsed: 0.008 s
% 1.18/0.53 % (2858039)Peak memory usage: 10 MB
% 1.18/0.53 % (2858039)Instructions burned: 16 (million)
% 1.18/0.53 % (2858042)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2168383043:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.18/0.53 % (2858043)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=531203019:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.18/0.53 % (2858044)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=967573407:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.18/0.53 % (2858041)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1272988615: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)
% 1.18/0.53 % (2858042)Instruction limit reached!
% 1.18/0.53 % (2858042)------------------------------
% 1.18/0.53 % (2858042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.53 % (2858042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.53 % (2858042)CaDiCaL version: 2.1.3
% 1.18/0.53 % (2858042)Termination reason: Instruction limit
% 1.18/0.53 % (2858042)Termination phase: shuffling
% 1.18/0.53 % (2858042)Time elapsed: 0.013 s
% 1.18/0.53 % (2858042)Peak memory usage: 10 MB
% 1.18/0.53 % (2858042)Instructions burned: 28 (million)
% 1.18/0.53 % (2858041)Instruction limit reached!
% 1.18/0.53 % (2858041)------------------------------
% 1.18/0.53 % (2858041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.53 % (2858041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.60 % (2858041)CaDiCaL version: 2.1.3
% 1.90/0.60 % (2858041)Termination reason: Instruction limit
% 1.90/0.60 % (2858041)Termination phase: shuffling
% 1.90/0.60 % (2858041)Time elapsed: 0.003 s
% 1.90/0.60 % (2858041)Peak memory usage: 10 MB
% 1.90/0.60 % (2858041)Instructions burned: 2 (million)
% 1.90/0.60 % (2858047)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
% 1.90/0.60 % (2858047)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.90/0.60 % (2858047)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=176971821:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.90/0.60 % (2858043)Instruction limit reached!
% 1.90/0.60 % (2858043)------------------------------
% 1.90/0.60 % (2858043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.60 % (2858043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.60 % (2858043)CaDiCaL version: 2.1.3
% 1.90/0.60 % (2858043)Termination reason: Instruction limit
% 1.90/0.60 % (2858043)Termination phase: Preprocessing 1
% 1.90/0.60 % (2858043)Time elapsed: 0.015 s
% 1.90/0.60 % (2858043)Peak memory usage: 10 MB
% 1.90/0.60 % (2858043)Instructions burned: 32 (million)
% 1.90/0.60 % (2858051)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.90/0.60 % (2858047)Instruction limit reached!
% 1.90/0.60 % (2858047)------------------------------
% 1.90/0.60 % (2858047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.60 % (2858047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.60 % (2858047)CaDiCaL version: 2.1.3
% 1.90/0.60 % (2858047)Termination reason: Instruction limit
% 1.90/0.60 % (2858047)Termination phase: shuffling
% 1.90/0.60 % (2858047)Time elapsed: 0.012 s
% 1.90/0.60 % (2858047)Peak memory usage: 10 MB
% 1.90/0.60 % (2858047)Instructions burned: 14 (million)
% 1.90/0.60 % (2858051)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=1445710895:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.90/0.60 % (2858044)Instruction limit reached!
% 1.90/0.60 % (2858044)------------------------------
% 1.90/0.60 % (2858044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.60 % (2858044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.60 % (2858054)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1401190674:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.90/0.60 % (2858044)CaDiCaL version: 2.1.3
% 1.90/0.60 % (2858044)Termination reason: Instruction limit
% 1.90/0.60 % (2858044)Termination phase: Property scanning
% 1.90/0.60 % (2858044)Time elapsed: 0.030 s
% 1.90/0.60 % (2858044)Peak memory usage: 12 MB
% 1.90/0.60 % (2858044)Instructions burned: 62 (million)
% 1.90/0.60 % (2858051)Instruction limit reached!
% 1.90/0.60 % (2858051)------------------------------
% 1.90/0.60 % (2858051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.60 % (2858051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.60 % (2858051)CaDiCaL version: 2.1.3
% 1.90/0.60 % (2858051)Termination reason: Instruction limit
% 1.90/0.60 % (2858051)Termination phase: shuffling
% 1.90/0.60 % (2858051)Time elapsed: 0.005 s
% 1.90/0.60 % (2858051)Peak memory usage: 10 MB
% 1.90/0.60 % (2858051)Instructions burned: 9 (million)
% 1.90/0.60 % (2858052)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=3893597821:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.90/0.60 % (2858054)Instruction limit reached!
% 1.90/0.60 % (2858054)------------------------------
% 1.90/0.60 % (2858054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.60 % (2858054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.60 % (2858054)CaDiCaL version: 2.1.3
% 1.90/0.60 % (2858054)Termination reason: Instruction limit
% 2.31/0.64 % (2858054)Termination phase: shuffling
% 2.31/0.64 % (2858054)Time elapsed: 0.004 s
% 2.31/0.64 % (2858054)Peak memory usage: 10 MB
% 2.31/0.64 % (2858054)Instructions burned: 7 (million)
% 2.31/0.64 % (2858055)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2788892536:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.31/0.64 % (2858058)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1053575398:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.31/0.64 % (2858034)Instruction limit reached!
% 2.31/0.64 % (2858034)------------------------------
% 2.31/0.64 % (2858034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858034)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858034)Termination reason: Instruction limit
% 2.31/0.64 % (2858034)Termination phase: Saturation
% 2.31/0.64 % (2858034)Time elapsed: 0.090 s
% 2.31/0.64 % (2858034)Peak memory usage: 15 MB
% 2.31/0.64 % (2858034)Instructions burned: 330 (million)
% 2.31/0.64 % (2858052)Instruction limit reached!
% 2.31/0.64 % (2858052)------------------------------
% 2.31/0.64 % (2858052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858052)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858052)Termination reason: Instruction limit
% 2.31/0.64 % (2858052)Termination phase: Property scanning
% 2.31/0.64 % (2858052)Time elapsed: 0.015 s
% 2.31/0.64 % (2858052)Peak memory usage: 10 MB
% 2.31/0.64 % (2858052)Instructions burned: 33 (million)
% 2.31/0.64 % (2858059)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1933266598:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.31/0.64 % (2858061)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=575151278:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.31/0.64 % (2858055)Instruction limit reached!
% 2.31/0.64 % (2858055)------------------------------
% 2.31/0.64 % (2858055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858055)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858055)Termination reason: Instruction limit
% 2.31/0.64 % (2858055)Termination phase: shuffling
% 2.31/0.64 % (2858055)Time elapsed: 0.012 s
% 2.31/0.64 % (2858055)Peak memory usage: 10 MB
% 2.31/0.64 % (2858055)Instructions burned: 25 (million)
% 2.31/0.64 % (2858058)Instruction limit reached!
% 2.31/0.64 % (2858058)------------------------------
% 2.31/0.64 % (2858058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858058)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858058)Termination reason: Instruction limit
% 2.31/0.64 % (2858058)Termination phase: Property scanning
% 2.31/0.64 % (2858058)Time elapsed: 0.011 s
% 2.31/0.64 % (2858058)Peak memory usage: 10 MB
% 2.31/0.64 % (2858058)Instructions burned: 22 (million)
% 2.31/0.64 % (2858066)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3426364552:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.31/0.64 % (2858065)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3048251142:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.31/0.64 % (2858068)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.31/0.64 % (2858066)Instruction limit reached!
% 2.31/0.64 % (2858066)------------------------------
% 2.31/0.64 % (2858066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858066)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858066)Termination reason: Instruction limit
% 2.31/0.64 % (2858066)Termination phase: Preprocessing 3
% 2.31/0.64 % (2858066)Time elapsed: 0.012 s
% 2.31/0.64 % (2858066)Peak memory usage: 11 MB
% 2.31/0.64 % (2858066)Instructions burned: 46 (million)
% 2.31/0.64 % (2858068)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1996805408:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.31/0.64 % (2858068)Instruction limit reached!
% 2.31/0.64 % (2858068)------------------------------
% 2.31/0.64 % (2858068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858068)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858068)Termination reason: Instruction limit
% 2.31/0.64 % (2858068)Termination phase: shuffling
% 2.31/0.64 % (2858068)Time elapsed: 0.004 s
% 2.31/0.64 % (2858068)Peak memory usage: 10 MB
% 2.31/0.64 % (2858068)Instructions burned: 9 (million)
% 2.31/0.64 % (2858070)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2637859883:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.31/0.64 % (2858073)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=925561353: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)
% 2.31/0.64 % (2858074)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.31/0.64 % (2858074)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4157672115:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.31/0.64 % (2858074)Instruction limit reached!
% 2.31/0.64 % (2858074)------------------------------
% 2.31/0.64 % (2858074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858074)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858074)Termination reason: Instruction limit
% 2.31/0.64 % (2858074)Termination phase: shuffling
% 2.31/0.64 % (2858074)Time elapsed: 0.004 s
% 2.31/0.64 % (2858074)Peak memory usage: 10 MB
% 2.31/0.64 % (2858074)Instructions burned: 7 (million)
% 2.31/0.64 % (2858073)Refutation not found, incomplete strategy
% 2.31/0.64 % (2858073)------------------------------
% 2.31/0.64 % (2858073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858073)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858073)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.64 % (2858073)Time elapsed: 0.030 s
% 2.31/0.64 % (2858073)Peak memory usage: 14 MB
% 2.31/0.64 % (2858073)Instructions burned: 107 (million)
% 2.31/0.64 % (2858073)------------------------------
% 2.31/0.64 % (2858073)------------------------------
% 2.31/0.64 % (2858078)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2599677468:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.31/0.64 % (2858079)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2563354739:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.31/0.64 % (2858078)Instruction limit reached!
% 2.31/0.64 % (2858078)------------------------------
% 2.31/0.64 % (2858078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858079)Instruction limit reached!
% 2.31/0.64 % (2858079)------------------------------
% 2.31/0.64 % (2858079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858079)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858078)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858079)Termination reason: Instruction limit
% 2.31/0.64 % (2858079)Termination phase: shuffling
% 2.31/0.64 % (2858078)Termination reason: Instruction limit
% 2.31/0.64 % (2858078)Termination phase: Property scanning
% 2.31/0.64 % (2858079)Time elapsed: 0.005 s
% 2.31/0.64 % (2858078)Time elapsed: 0.011 s
% 2.31/0.64 % (2858079)Peak memory usage: 10 MB
% 2.31/0.64 % (2858078)Peak memory usage: 11 MB
% 2.31/0.64 % (2858079)Instructions burned: 21 (million)
% 2.31/0.64 % (2858078)Instructions burned: 22 (million)
% 2.31/0.64 % (2858083)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=2826225938:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.31/0.64 % (2858082)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=1412565851:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.31/0.64 % (2858061)Instruction limit reached!
% 2.31/0.64 % (2858061)------------------------------
% 2.31/0.64 % (2858061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858061)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858061)Termination reason: Instruction limit
% 2.31/0.64 % (2858061)Termination phase: Saturation
% 2.31/0.64 % (2858061)Time elapsed: 0.106 s
% 2.31/0.64 % (2858061)Peak memory usage: 14 MB
% 2.31/0.64 % (2858061)Instructions burned: 144 (million)
% 2.31/0.64 % (2858065)Instruction limit reached!
% 2.31/0.64 % (2858065)------------------------------
% 2.31/0.64 % (2858065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858065)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858065)Termination reason: Instruction limit
% 2.31/0.64 % (2858065)Termination phase: Saturation
% 2.31/0.64 % (2858065)Time elapsed: 0.103 s
% 2.31/0.64 % (2858065)Peak memory usage: 14 MB
% 2.31/0.64 % (2858065)Instructions burned: 195 (million)
% 2.31/0.64 % (2858086)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=2185748701:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.31/0.64 % (2858070)Instruction limit reached!
% 2.31/0.64 % (2858070)------------------------------
% 2.31/0.64 % (2858070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.64 % (2858070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.64 % (2858070)CaDiCaL version: 2.1.3
% 2.31/0.64 % (2858070)Termination reason: Instruction limit
% 2.31/0.64 % (2858070)Termination phase: Saturation
% 2.31/0.64 % (2858070)Time elapsed: 0.104 s
% 2.31/0.64 % (2858070)Peak memory usage: 15 MB
% 2.31/0.64 % (2858070)Instructions burned: 181 (million)
% 2.31/0.64 % (2858083) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2857995-2858083"...
% 2.31/0.64 % (2858083)...printing done.
% 2.31/0.64 % (2858083)Refutation found. Thanks to Tanya!
% 2.31/0.64 % SZS status Theorem for theBenchmark
% 2.31/0.64 % SZS output start Proof for theBenchmark
% 2.31/0.64 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 2.31/0.64 thf(type_def_6, type, stream: $tType > $tType).
% 2.31/0.64 thf(type_def_7, type, set: $tType > $tType).
% 2.31/0.64 thf(type_def_8, type, nat: $tType).
% 2.31/0.64 thf(type_def_9, type, itself: $tType > $tType).
% 2.31/0.64 thf(type_def_10, type, a: $tType).
% 2.31/0.64 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 2.31/0.64 thf(func_def_0, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_2, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_3, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_4, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_5, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_6, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_7, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_8, type, monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_9, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_10, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_11, type, countable: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_12, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_13, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_14, type, complete_Sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_15, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_16, type, comple1141879883l_ccpo: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_17, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_18, type, comple187826305attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_19, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_20, type, counta840220525attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_21, type, condit378418413attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.31/0.64 thf(func_def_22, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 2.31/0.64 thf(func_def_23, type, coindu68654304_llist: !>[X0: $tType]:(((nat > X0) > coinductive_llist @ X0))).
% 2.31/0.64 thf(func_def_24, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 2.31/0.64 thf(func_def_25, type, coinductive_lmap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > coinductive_llist @ X0 > coinductive_llist @ X1))).
% 2.31/0.64 thf(func_def_26, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 2.31/0.64 thf(func_def_27, type, coindu543516966_llist: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > $o))).
% 2.31/0.64 thf(func_def_28, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 2.31/0.64 thf(func_def_29, type, coinductive_lnth: !>[X0: $tType]:((coinductive_llist @ X0 > nat > X0))).
% 2.31/0.65 thf(func_def_30, type, coindu780009021istsum: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.31/0.65 thf(func_def_31, type, coindu1724414836stream: !>[X0: $tType]:((stream @ X0 > coinductive_llist @ X0))).
% 2.31/0.65 thf(func_def_32, type, coindu176146587of_seq: !>[X0: $tType]:(((nat > X0) > stream @ X0))).
% 2.31/0.65 thf(func_def_33, type, coindu1183105481stream: !>[X0: $tType]:((coinductive_llist @ X0 > stream @ X0 > $o))).
% 2.31/0.65 thf(func_def_34, type, coindu2010755910_llist: !>[X0: $tType]:((coinductive_llist @ X0 > stream @ X0))).
% 2.31/0.65 thf(func_def_35, type, complete_Sup_Sup: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_36, type, comple2143767107ompact: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > X0 > $o))).
% 2.31/0.65 thf(func_def_37, type, condit1810911227_above: !>[X0: $tType]:((set @ X0 > $o))).
% 2.31/0.65 thf(func_def_38, type, from_nat: !>[X0: $tType]:((nat > X0))).
% 2.31/0.65 thf(func_def_39, type, swap: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0 > X1))).
% 2.31/0.65 thf(func_def_40, type, zero_zero: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_41, type, bot_bot: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_42, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.31/0.65 thf(func_def_43, type, top_top: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_44, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.31/0.65 thf(func_def_45, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 2.31/0.65 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.31/0.65 thf(func_def_47, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 2.31/0.65 thf(func_def_48, type, bind: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1))).
% 2.31/0.65 thf(func_def_49, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 2.31/0.65 thf(func_def_50, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_51, type, smap2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > stream @ X0 > stream @ X1 > stream @ X2))).
% 2.31/0.65 thf(func_def_52, type, smember: !>[X0: $tType]:((X0 > stream @ X0 > $o))).
% 2.31/0.65 thf(func_def_53, type, smerge: !>[X0: $tType]:((stream @ stream @ X0 > stream @ X0))).
% 2.31/0.65 thf(func_def_54, type, snth: !>[X0: $tType]:((stream @ X0 > nat > X0))).
% 2.31/0.65 thf(func_def_55, type, pred_stream: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > $o))).
% 2.31/0.65 thf(func_def_56, type, smap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream @ X0 > stream @ X1))).
% 2.31/0.65 thf(func_def_57, type, sset: !>[X0: $tType]:((stream @ X0 > set @ X0))).
% 2.31/0.65 thf(func_def_58, type, stream_all: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > $o))).
% 2.31/0.65 thf(func_def_59, type, streams: !>[X0: $tType]:((set @ X0 > set @ stream @ X0))).
% 2.31/0.65 thf(func_def_60, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.31/0.65 thf(func_def_61, type, f: (nat > a)).
% 2.31/0.65 thf(func_def_65, type, db0: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_66, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.31/0.65 thf(func_def_67, type, db1: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_68, type, vAND: ($o > $o > $o)).
% 2.31/0.65 thf(func_def_69, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.31/0.65 thf(func_def_70, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.31/0.65 thf(func_def_71, type, vIMP: ($o > $o > $o)).
% 2.31/0.65 thf(func_def_72, type, db2: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_73, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.31/0.65 thf(func_def_74, type, sK0: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > set @ X1 > X1))).
% 2.31/0.65 thf(func_def_75, type, sK1: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > stream @ X0 > X0))).
% 2.31/0.65 thf(func_def_76, type, sK2: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_77, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > set @ X2 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_78, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > set @ X2 > set @ X0 > X2))).
% 2.31/0.65 thf(func_def_79, type, sK5: !>[X0: $tType]:((set @ set @ X0 > set @ X0 > set @ X0))).
% 2.31/0.65 thf(func_def_80, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_81, type, sK7: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_82, type, sK8: !>[X0: $tType]:(X0)).
% 2.31/0.65 thf(func_def_83, type, sK9: !>[X0: $tType, X1: $tType]:((coinductive_llist @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_84, type, sK10: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_85, type, sK11: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 2.31/0.65 thf(func_def_86, type, sK12: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_87, type, sK13: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_88, type, sK14: !>[X0: $tType, X1: $tType]:(((X0 > X1) > coinductive_llist @ X0 > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_89, type, sK15: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_90, type, sK16: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_91, type, sK17: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_92, type, sK18: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 2.31/0.65 thf(func_def_93, type, sK19: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_94, type, sK20: !>[X0: $tType]:((set @ X0 > stream @ X0 > nat))).
% 2.31/0.65 thf(func_def_95, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 2.31/0.65 thf(func_def_96, type, sK22: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_97, type, sK23: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_98, type, sK24: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > stream @ X0 > X0))).
% 2.31/0.65 thf(func_def_99, type, sK25: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_100, type, sK26: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > coinductive_llist @ X0 > X0))).
% 2.31/0.65 thf(func_def_101, type, sK27: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X1))).
% 2.31/0.65 thf(func_def_102, type, sK28: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X0))).
% 2.31/0.65 thf(func_def_103, type, sK29: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X1))).
% 2.31/0.65 thf(func_def_104, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_105, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_106, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > stream @ X1 > X1))).
% 2.31/0.65 thf(func_def_107, type, sK33: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_108, type, sK34: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_109, type, sK35: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 2.31/0.65 thf(func_def_110, type, sK36: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 2.31/0.65 thf(func_def_111, type, sK37: !>[X0: $tType]:(((X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_112, type, sK38: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X0))).
% 2.31/0.65 thf(func_def_113, type, sK39: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X1))).
% 2.31/0.65 thf(func_def_114, type, sK40: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X1))).
% 2.31/0.65 thf(func_def_115, type, sK41: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_116, type, sK42: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_117, type, sK43: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_118, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_119, type, sK45: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_120, type, sK46: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_121, type, sK47: !>[X0: $tType, X1: $tType]:((stream @ X0 > stream @ X1 > (X0 > X1) > nat))).
% 2.31/0.65 thf(func_def_122, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0) > set @ X1 > X1))).
% 2.31/0.65 thf(func_def_123, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_124, type, sK50: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_125, type, sK51: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_126, type, sK52: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_127, type, sK53: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > set @ X0))).
% 2.31/0.65 thf(func_def_128, type, sK54: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_129, type, sK55: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_130, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_131, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:((stream @ X1 > stream @ X2 > (X0 > X1 > X2) > stream @ X0 > nat))).
% 2.31/0.65 thf(func_def_132, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > X0))).
% 2.31/0.65 thf(func_def_133, type, sK59: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > set @ X1))).
% 2.31/0.65 thf(func_def_134, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 2.31/0.65 thf(func_def_135, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 2.31/0.65 thf(func_def_136, type, sK62: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_137, type, sK63: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_138, type, sK64: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_139, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 2.31/0.65 thf(func_def_140, type, sK66: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_141, type, sK67: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_142, type, sK68: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_143, type, sK69: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_144, type, sK70: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_145, type, sK71: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 2.31/0.65 thf(func_def_146, type, sK72: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_147, type, sK73: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_148, type, sK74: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_149, type, sK75: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_150, type, sK76: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1 > set @ X1 > X1))).
% 2.31/0.65 thf(func_def_151, type, sK77: !>[X0: $tType]:((set @ (X0 > $o) > X0 > X0 > $o))).
% 2.31/0.65 thf(func_def_152, type, sK78: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_153, type, sK79: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_154, type, sK80: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_155, type, sK81: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 2.31/0.65 thf(func_def_156, type, sK82: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 2.31/0.65 thf(func_def_157, type, sK83: !>[X0: $tType]:(((X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_158, type, sK84: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 2.31/0.65 thf(func_def_159, type, sK85: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 2.31/0.65 thf(func_def_160, type, sK86: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_161, type, sK87: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_162, type, sK88: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > set @ X1 > X1))).
% 2.31/0.65 thf(func_def_163, type, sK89: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 2.31/0.65 thf(func_def_164, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 2.31/0.65 thf(func_def_165, type, sK91: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X0))).
% 2.31/0.65 thf(func_def_166, type, sK92: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X1))).
% 2.31/0.65 thf(func_def_167, type, sK93: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > (X1 > $o) > X1))).
% 2.31/0.65 thf(func_def_168, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > set @ X1 > set @ X2 > (X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_169, type, sK95: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_170, type, sK96: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 2.31/0.65 thf(func_def_171, type, sK97: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > $o) > (X1 > set @ X0) > X1))).
% 2.31/0.65 thf(func_def_172, type, sK98: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > $o) > (X1 > set @ X0) > X0))).
% 2.31/0.65 thf(func_def_173, type, sK99: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > $o) > (X1 > set @ X0) > X0))).
% 2.31/0.65 thf(func_def_174, type, sK100: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 2.31/0.65 thf(func_def_175, type, sK101: !>[X0: $tType, X1: $tType]:((stream @ X0 > stream @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_176, type, sK102: !>[X0: $tType, X1: $tType]:((stream @ X0 > stream @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_177, type, sK103: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0) > set @ X1 > X0))).
% 2.31/0.65 thf(func_def_178, type, sK104: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_179, type, sK105: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_180, type, sK106: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_181, type, sK107: !>[X0: $tType]:((set @ X0 > X0))).
% 2.31/0.65 thf(func_def_182, type, sK108: !>[X0: $tType]:((set @ set @ X0 > set @ X0))).
% 2.31/0.65 thf(func_def_183, type, sK109: !>[X0: $tType, X1: $tType]:((coinductive_llist @ X1 > (X1 > X0) > (X1 > X0) > coinductive_llist @ X1 > X1))).
% 2.31/0.65 thf(func_def_184, type, sK110: !>[X0: $tType, X1: $tType]:((coinductive_llist @ X1 > (X1 > X0) > (X1 > X0) > coinductive_llist @ X1 > X1))).
% 2.31/0.65 thf(func_def_185, type, sK111: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 2.31/0.65 thf(func_def_186, type, sK112: !>[X0: $tType]:((set @ set @ X0 > X0 > set @ X0))).
% 2.31/0.65 thf(func_def_187, type, sK113: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > set @ X0))).
% 2.31/0.65 thf(func_def_188, type, sK114: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_189, type, sK115: !>[X0: $tType]:((set @ set @ X0 > (X0 > $o) > X0))).
% 2.31/0.65 thf(func_def_190, type, vNOT: ($o > $o)).
% 2.31/0.65 thf(func_def_192, type, sK117: nat).
% 2.31/0.65 thf(func_def_193, type, sK118: nat).
% 2.31/0.65 thf(f5,axiom,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0)] : (((coindu1724414836stream @ X0 @ (coindu176146587of_seq @ X0 @ X1))) = ((coindu68654304_llist @ X0 @ X1)))),
% 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_of__seq_Orep__eq)).
% 2.31/0.65 thf(f10,axiom,(
% 2.31/0.65 ! [X0 : $tType,X1 : stream @ X0] : (((coinductive_lnth @ X0 @ (coindu1724414836stream @ X0 @ X1))) = ((snth @ X0 @ X1)))),
% 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_lnth__list__of__stream)).
% 2.31/0.65 thf(f21,axiom,(
% 2.31/0.65 ! [X0 : $tType,X2 : (nat > X0),X1 : (nat > X0)] : ((X1 = X2) = (((coindu68654304_llist @ X0 @ X1)) = ((coindu68654304_llist @ X0 @ X2))))),
% 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_inf__llist__inj)).
% 2.31/0.65 thf(f33,axiom,(
% 2.31/0.65 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (~(coinductive_lfinite @ X0 @ X1) => (((coindu68654304_llist @ X0 @ (coinductive_lnth @ X0 @ X1))) = X1))),
% 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_inf__llist__lnth)).
% 2.31/0.65 thf(f41,axiom,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0)] : ~(coinductive_lfinite @ X0 @ (coindu68654304_llist @ X0 @ X1))),
% 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_lfinite__inf__llist)).
% 2.31/0.65 thf(f313,conjecture,(
% 2.31/0.65 (((snth @ a @ (coindu176146587of_seq @ a @ f))) = f)),
% 2.31/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.31/0.65 thf(f314,negated_conjecture,(
% 2.31/0.65 ~ (((snth @ a @ (coindu176146587of_seq @ a @ f))) = f)),
% 2.31/0.65 inference(negated_conjecture,[status(cth)],[f313])).
% 2.31/0.65 thf(f561,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0)] : ~(coinductive_lfinite @ X0 @ (coindu68654304_llist @ X0 @ X1))),
% 2.31/0.65 inference(rectify,[],[f41])).
% 2.31/0.65 thf(f562,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0)] : ~ (((coinductive_lfinite @ X0 @ (coindu68654304_llist @ X0 @ X1))) = $true)),
% 2.31/0.65 inference(fool_elimination,[],[f561])).
% 2.31/0.65 thf(f614,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0),X2 : (nat > X0)] : ((X1 = X2) = (((coindu68654304_llist @ X0 @ X1)) = ((coindu68654304_llist @ X0 @ X2))))),
% 2.31/0.65 inference(rectify,[],[f21])).
% 2.31/0.65 thf(f615,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0),X2 : (nat > X0)] : ((((coindu68654304_llist @ X0 @ X1)) = ((coindu68654304_llist @ X0 @ X2))) <=> (X1 = X2))),
% 2.31/0.65 inference(fool_elimination,[],[f614])).
% 2.31/0.65 thf(f796,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (~(coinductive_lfinite @ X0 @ X1) => (((coindu68654304_llist @ X0 @ (coinductive_lnth @ X0 @ X1))) = X1))),
% 2.31/0.65 inference(rectify,[],[f33])).
% 2.31/0.65 thf(f797,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (~ (((coinductive_lfinite @ X0 @ X1)) = $true) => (((coindu68654304_llist @ X0 @ (coinductive_lnth @ X0 @ X1))) = X1))),
% 2.31/0.65 inference(fool_elimination,[],[f796])).
% 2.31/0.65 thf(f851,plain,(
% 2.31/0.65 (f != ((snth @ a @ (coindu176146587of_seq @ a @ f))))),
% 2.31/0.65 inference(flattening,[],[f314])).
% 2.31/0.65 thf(f864,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0)] : (((coinductive_lfinite @ X0 @ (coindu68654304_llist @ X0 @ X1))) != $true)),
% 2.31/0.65 inference(flattening,[],[f562])).
% 2.31/0.65 thf(f880,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) != $true) => (((coindu68654304_llist @ X0 @ (coinductive_lnth @ X0 @ X1))) = X1))),
% 2.31/0.65 inference(flattening,[],[f797])).
% 2.31/0.65 thf(f989,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) = $true) | (((coindu68654304_llist @ X0 @ (coinductive_lnth @ X0 @ X1))) = X1))),
% 2.31/0.65 inference(ennf_transformation,[],[f880])).
% 2.31/0.65 thf(f1344,plain,(
% 2.31/0.65 ! [X0 : $tType,X1 : (nat > X0),X2 : (nat > X0)] : (((((coindu68654304_llist @ X0 @ X1)) = ((coindu68654304_llist @ X0 @ X2))) | (X1 != X2)) & ((X1 = X2) | (((coindu68654304_llist @ X0 @ X1)) != ((coindu68654304_llist @ X0 @ X2)))))),
% 2.31/0.65 inference(nnf_transformation,[],[f615])).
% 2.31/0.65 thf(f1413,plain,(
% 2.31/0.65 (f != ((snth @ a @ (coindu176146587of_seq @ a @ f))))),
% 2.31/0.65 inference(cnf_transformation,[],[f851])).
% 2.31/0.65 thf(f1676,plain,(
% 2.31/0.65 ( ! [X0 : $tType,X1 : (nat > X0)] : ((((coinductive_lfinite @ X0 @ (coindu68654304_llist @ X0 @ X1))) != $true)) )),
% 2.31/0.65 inference(cnf_transformation,[],[f864])).
% 2.31/0.65 thf(f1738,plain,(
% 2.31/0.65 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) = $true) | (((coindu68654304_llist @ X0 @ (coinductive_lnth @ X0 @ X1))) = X1)) )),
% 2.31/0.65 inference(cnf_transformation,[],[f989])).
% 2.31/0.65 thf(f1817,plain,(
% 2.31/0.65 ( ! [X0 : $tType,X2 : (nat > X0),X1 : (nat > X0)] : ((((coindu68654304_llist @ X0 @ X1)) != ((coindu68654304_llist @ X0 @ X2))) | (X1 = X2)) )),
% 2.31/0.65 inference(cnf_transformation,[],[f1344])).
% 2.31/0.65 thf(f1821,plain,(
% 2.31/0.65 ( ! [X0 : $tType,X1 : stream @ X0] : ((((snth @ X0 @ X1)) = ((coinductive_lnth @ X0 @ (coindu1724414836stream @ X0 @ X1))))) )),
% 2.31/0.65 inference(cnf_transformation,[],[f10])).
% 2.31/0.65 thf(f1891,plain,(
% 2.31/0.65 ( ! [X0 : $tType,X1 : (nat > X0)] : ((((coindu68654304_llist @ X0 @ X1)) = ((coindu1724414836stream @ X0 @ (coindu176146587of_seq @ X0 @ X1))))) )),
% 2.31/0.65 inference(cnf_transformation,[],[f5])).
% 2.31/0.65 thf(f2192,definition,(
% 2.31/0.65 spl116_21 <=> (f = ((snth @ a @ (coindu176146587of_seq @ a @ f))))),
% 2.31/0.65 introduced(definition,[new_symbols(definition,[spl116_21])],[avatar_definition])).
% 2.31/0.65 thf(f2194,plain,(
% 2.31/0.65 (f != ((snth @ a @ (coindu176146587of_seq @ a @ f)))) | spl116_21),
% 2.31/0.65 inference(avatar_component_clause,[],[f2192])).
% 2.31/0.65 thf(f2195,plain,(
% 2.31/0.65 ~spl116_21),
% 2.31/0.65 inference(avatar_split_clause,[],[f1413,f2192])).
% 2.31/0.65 thf(f2248,plain,(
% 2.31/0.65 ( ! [X0 : $tType,X1 : (nat > X0)] : ((((coinductive_lnth @ X0 @ (coindu68654304_llist @ X0 @ X1))) = ((snth @ X0 @ (coindu176146587of_seq @ X0 @ X1))))) )),
% 2.31/0.65 inference(superposition,[],[f1821,f1891])).
% 2.31/0.65 thf(f2279,plain,(
% 2.31/0.65 (f != ((coinductive_lnth @ a @ (coindu68654304_llist @ a @ f)))) | spl116_21),
% 2.31/0.65 inference(backward_demodulation,[],[f2194,f2248])).
% 2.31/0.65 thf(f2283,definition,(
% 2.31/0.65 spl116_32 <=> (f = ((coinductive_lnth @ a @ (coindu68654304_llist @ a @ f))))),
% 2.31/0.65 introduced(definition,[new_symbols(definition,[spl116_32])],[avatar_definition])).
% 2.31/0.65 thf(f2285,plain,(
% 2.31/0.65 (f != ((coinductive_lnth @ a @ (coindu68654304_llist @ a @ f)))) | spl116_32),
% 2.31/0.65 inference(avatar_component_clause,[],[f2283])).
% 2.31/0.65 thf(f2286,plain,(
% 2.31/0.65 ~spl116_32 | spl116_21),
% 2.31/0.65 inference(avatar_split_clause,[],[f2279,f2192,f2283])).
% 2.31/0.65 thf(f2311,plain,(
% 2.31/0.65 (((coindu68654304_llist @ a @ f)) != ((coindu68654304_llist @ a @ (coinductive_lnth @ a @ (coindu68654304_llist @ a @ f))))) | spl116_32),
% 2.31/0.65 inference(unit_resulting_resolution,[],[f1817,f2285])).
% 2.31/0.65 thf(f2315,definition,(
% 2.31/0.65 spl116_34 <=> (((coindu68654304_llist @ a @ f)) = ((coindu68654304_llist @ a @ (coinductive_lnth @ a @ (coindu68654304_llist @ a @ f)))))),
% 2.31/0.65 introduced(definition,[new_symbols(definition,[spl116_34])],[avatar_definition])).
% 2.31/0.65 thf(f2317,plain,(
% 2.31/0.65 (((coindu68654304_llist @ a @ f)) != ((coindu68654304_llist @ a @ (coinductive_lnth @ a @ (coindu68654304_llist @ a @ f))))) | spl116_34),
% 2.31/0.65 inference(avatar_component_clause,[],[f2315])).
% 2.31/0.65 thf(f2318,plain,(
% 2.31/0.65 ~spl116_34 | spl116_32),
% 2.31/0.65 inference(avatar_split_clause,[],[f2311,f2283,f2315])).
% 2.31/0.65 thf(f2333,plain,(
% 2.31/0.65 ($true = ((coinductive_lfinite @ a @ (coindu68654304_llist @ a @ f)))) | spl116_34),
% 2.31/0.65 inference(unit_resulting_resolution,[],[f1738,f2317])).
% 2.31/0.65 thf(f2340,plain,(
% 2.31/0.65 $false | spl116_34),
% 2.31/0.65 inference(forward_subsumption_resolution,[],[f2333,f1676])).
% 2.31/0.65 thf(f2341,plain,(
% 2.31/0.65 spl116_34),
% 2.31/0.65 inference(avatar_contradiction_clause,[],[f2340])).
% 2.31/0.65 cnf(s21, plain, ~spl116_21, inference(sat_conversion,[],[f2195])).
% 2.31/0.65 cnf(s32, plain, spl116_21 | ~spl116_32, inference(sat_conversion,[],[f2286])).
% 2.31/0.65 cnf(s34, plain, spl116_32 | ~spl116_34, inference(sat_conversion,[],[f2318])).
% 2.31/0.65 cnf(s37, plain, spl116_34, inference(sat_conversion,[],[f2341])).
% 2.31/0.65 cnf(s38, plain, spl116_32, inference(rat,[],[s34,s37])).
% 2.31/0.65 cnf(s39, plain, spl116_21, inference(rat,[],[s32,s38])).
% 2.31/0.65 cnf(s40, plain, $false, inference(rat,[],[s21,s39])).
% 2.31/0.65 thf(f2342,plain,(
% 2.31/0.65 $false),
% 2.31/0.65 inference(avatar_sat_refutation,[],[s40])).
% 2.31/0.65 % SZS output end Proof for theBenchmark
% 2.31/0.65 % (2858083)------------------------------
% 2.31/0.65 % (2858083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.65 % (2858083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.65 % (2858083)CaDiCaL version: 2.1.3
% 2.31/0.65 % (2858083)Termination reason: Refutation
% 2.31/0.65 % (2858083)Time elapsed: 0.044 s
% 2.31/0.65 % (2858083)Peak memory usage: 15 MB
% 2.31/0.65 % (2858083)Instructions burned: 165 (million)
% 2.31/0.65 % (2857995)Success in time 0.361 s
% 2.31/0.65 % Vampire exiting
%------------------------------------------------------------------------------