%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP169^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:39 AM UTC 2026
% Result : Theorem 0.49s 0.44s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP169^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n005.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 20:05:01 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.22/0.28 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
% 0.49/0.43 % (2139602)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.49/0.43 % (2139623)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2356589500:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.49/0.43 % (2139625)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.49/0.43 % (2139625)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
% 0.49/0.43 % (2139621)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2600210893:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.49/0.43 % (2139619)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3643641807:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.49/0.43 % (2139620)lrs+10_16_si=on:nwc=1.5:random_seed=310451871:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.49/0.43 % (2139623)Instruction limit reached!
% 0.49/0.43 % (2139623)------------------------------
% 0.49/0.43 % (2139623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2139623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2139623)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2139623)Termination reason: Instruction limit
% 0.49/0.43 % (2139623)Termination phase: shuffling
% 0.49/0.43 % (2139623)Time elapsed: 0.006 s
% 0.49/0.43 % (2139623)Peak memory usage: 10 MB
% 0.49/0.43 % (2139623)Instructions burned: 24 (million)
% 0.49/0.43 % (2139624)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4050513541:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.49/0.43 % (2139625)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=1933636443:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.49/0.43 % (2139621)Instruction limit reached!
% 0.49/0.43 % (2139621)------------------------------
% 0.49/0.43 % (2139621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2139621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2139621)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2139621)Termination reason: Instruction limit
% 0.49/0.43 % (2139621)Termination phase: shuffling
% 0.49/0.43 % (2139621)Time elapsed: 0.003 s
% 0.49/0.43 % (2139621)Peak memory usage: 10 MB
% 0.49/0.43 % (2139621)Instructions burned: 7 (million)
% 0.49/0.43 % (2139620)Instruction limit reached!
% 0.49/0.43 % (2139620)------------------------------
% 0.49/0.43 % (2139620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2139620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2139620)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2139620)Termination reason: Instruction limit
% 0.49/0.43 % (2139620)Termination phase: shuffling
% 0.49/0.43 % (2139620)Time elapsed: 0.009 s
% 0.49/0.43 % (2139620)Peak memory usage: 10 MB
% 0.49/0.43 % (2139620)Instructions burned: 20 (million)
% 0.49/0.43 % (2139639)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1262785202:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.43 % (2139639)Instruction limit reached!
% 0.49/0.43 % (2139639)------------------------------
% 0.49/0.43 % (2139639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2139639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2139639)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2139639)Termination reason: Instruction limit
% 0.49/0.43 % (2139639)Termination phase: shuffling
% 0.49/0.43 % (2139639)Time elapsed: 0.001 s
% 0.49/0.43 % (2139639)Peak memory usage: 10 MB
% 0.49/0.43 % (2139639)Instructions burned: 3 (million)
% 0.49/0.43 % (2139622)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=2956058709: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)
% 0.49/0.43 % (2139641)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2961281871:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.49/0.44 % (2139644)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.44 % (2139641)Instruction limit reached!
% 0.49/0.44 % (2139641)------------------------------
% 0.49/0.44 % (2139641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139641)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139641)Termination reason: Instruction limit
% 0.49/0.44 % (2139641)Termination phase: shuffling
% 0.49/0.44 % (2139641)Time elapsed: 0.002 s
% 0.49/0.44 % (2139641)Peak memory usage: 10 MB
% 0.49/0.44 % (2139641)Instructions burned: 9 (million)
% 0.49/0.44 % (2139644)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2108350257:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.49/0.44 % (2139644)Instruction limit reached!
% 0.49/0.44 % (2139644)------------------------------
% 0.49/0.44 % (2139644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139644)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139644)Termination reason: Instruction limit
% 0.49/0.44 % (2139644)Termination phase: shuffling
% 0.49/0.44 % (2139644)Time elapsed: 0.003 s
% 0.49/0.44 % (2139644)Peak memory usage: 10 MB
% 0.49/0.44 % (2139644)Instructions burned: 7 (million)
% 0.49/0.44 % (2139648)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=150428815:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.49/0.44 % (2139650)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
% 0.49/0.44 % (2139650)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.44 % (2139650)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4084109271:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.49/0.44 % (2139648)Instruction limit reached!
% 0.49/0.44 % (2139648)------------------------------
% 0.49/0.44 % (2139648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139648)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139648)Termination reason: Instruction limit
% 0.49/0.44 % (2139648)Termination phase: shuffling
% 0.49/0.44 % (2139648)Time elapsed: 0.006 s
% 0.49/0.44 % (2139648)Peak memory usage: 10 MB
% 0.49/0.44 % (2139648)Instructions burned: 13 (million)
% 0.49/0.44 % (2139619)Instruction limit reached!
% 0.49/0.44 % (2139619)------------------------------
% 0.49/0.44 % (2139619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139619)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139619)Termination reason: Instruction limit
% 0.49/0.44 % (2139619)Termination phase: Preprocessing 3
% 0.49/0.44 % (2139619)Time elapsed: 0.040 s
% 0.49/0.44 % (2139619)Peak memory usage: 12 MB
% 0.49/0.44 % (2139619)Instructions burned: 88 (million)
% 0.49/0.44 % (2139650)Instruction limit reached!
% 0.49/0.44 % (2139650)------------------------------
% 0.49/0.44 % (2139650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139650)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139650)Termination reason: Instruction limit
% 0.49/0.44 % (2139650)Termination phase: shuffling
% 0.49/0.44 % (2139650)Time elapsed: 0.007 s
% 0.49/0.44 % (2139650)Peak memory usage: 10 MB
% 0.49/0.44 % (2139650)Instructions burned: 32 (million)
% 0.49/0.44 % (2139624)Instruction limit reached!
% 0.49/0.44 % (2139624)------------------------------
% 0.49/0.44 % (2139624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139624)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139624)Termination reason: Instruction limit
% 0.49/0.44 % (2139624)Termination phase: Naming
% 0.49/0.44 % (2139624)Time elapsed: 0.045 s
% 0.49/0.44 % (2139624)Peak memory usage: 11 MB
% 0.49/0.44 % (2139624)Instructions burned: 76 (million)
% 0.49/0.44 % (2139653)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=3791053946:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.49/0.44 % (2139662)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2607059872:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.49/0.44 % (2139658)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.49/0.44 % (2139657)lrs+10_1_si=on:cs=on:random_seed=725507138:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.49/0.44 % (2139658)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=1767412649:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.44 % (2139657)Instruction limit reached!
% 0.49/0.44 % (2139657)------------------------------
% 0.49/0.44 % (2139657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139657)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139657)Termination reason: Instruction limit
% 0.49/0.44 % (2139657)Termination phase: shuffling
% 0.49/0.44 % (2139657)Time elapsed: 0.004 s
% 0.49/0.44 % (2139657)Peak memory usage: 10 MB
% 0.49/0.44 % (2139657)Instructions burned: 8 (million)
% 0.49/0.44 % (2139658)Instruction limit reached!
% 0.49/0.44 % (2139658)------------------------------
% 0.49/0.44 % (2139658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139658)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139658)Termination reason: Instruction limit
% 0.49/0.44 % (2139658)Termination phase: shuffling
% 0.49/0.44 % (2139658)Time elapsed: 0.003 s
% 0.49/0.44 % (2139658)Peak memory usage: 10 MB
% 0.49/0.44 % (2139658)Instructions burned: 6 (million)
% 0.49/0.44 % (2139661)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3344286928:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.49/0.44 % (2139625)Instruction limit reached!
% 0.49/0.44 % (2139625)------------------------------
% 0.49/0.44 % (2139625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139625)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139625)Termination reason: Instruction limit
% 0.49/0.44 % (2139625)Termination phase: Saturation
% 0.49/0.44 % (2139625)Time elapsed: 0.077 s
% 0.49/0.44 % (2139625)Peak memory usage: 13 MB
% 0.49/0.44 % (2139625)Instructions burned: 158 (million)
% 0.49/0.44 % (2139661)Instruction limit reached!
% 0.49/0.44 % (2139661)------------------------------
% 0.49/0.44 % (2139661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139676)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=829421706:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.49/0.44 % (2139661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139661)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139661)Termination reason: Instruction limit
% 0.49/0.44 % (2139661)Termination phase: Property scanning
% 0.49/0.44 % (2139661)Time elapsed: 0.017 s
% 0.49/0.44 % (2139661)Peak memory usage: 10 MB
% 0.49/0.44 % (2139661)Instructions burned: 40 (million)
% 0.49/0.44 % (2139678)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2071978775:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.49/0.44 % (2139678)Instruction limit reached!
% 0.49/0.44 % (2139678)------------------------------
% 0.49/0.44 % (2139678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139678)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139678)Termination reason: Instruction limit
% 0.49/0.44 % (2139678)Termination phase: shuffling
% 0.49/0.44 % (2139678)Time elapsed: 0.007 s
% 0.49/0.44 % (2139678)Peak memory usage: 10 MB
% 0.49/0.44 % (2139678)Instructions burned: 16 (million)
% 0.49/0.44 % (2139653)Instruction limit reached!
% 0.49/0.44 % (2139653)------------------------------
% 0.49/0.44 % (2139653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139653)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139653)Termination reason: Instruction limit
% 0.49/0.44 % (2139653)Termination phase: Property scanning
% 0.49/0.44 % (2139653)Time elapsed: 0.040 s
% 0.49/0.44 % (2139653)Peak memory usage: 11 MB
% 0.49/0.44 % (2139653)Instructions burned: 86 (million)
% 0.49/0.44 % (2139662) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2139602-2139662"...
% 0.49/0.44 % (2139676)Instruction limit reached!
% 0.49/0.44 % (2139676)------------------------------
% 0.49/0.44 % (2139676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139676)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139676)Termination reason: Instruction limit
% 0.49/0.44 % (2139676)Termination phase: shuffling
% 0.49/0.44 % (2139676)Time elapsed: 0.011 s
% 0.49/0.44 % (2139676)Peak memory usage: 10 MB
% 0.49/0.44 % (2139676)Instructions burned: 26 (million)
% 0.49/0.44 % (2139662)...printing done.
% 0.49/0.44 % (2139662)Refutation found. Thanks to Tanya!
% 0.49/0.44 % SZS status Theorem for theBenchmark
% 0.49/0.44 % SZS output start Proof for theBenchmark
% 0.49/0.44 thf(type_def_5, type, view_ext: $tType > $tType).
% 0.49/0.44 thf(type_def_6, type, product_unit: $tType).
% 0.49/0.44 thf(type_def_7, type, real_int: $tType).
% 0.49/0.44 thf(type_def_8, type, traffic: $tType).
% 0.49/0.44 thf(type_def_9, type, nat_int: $tType).
% 0.49/0.44 thf(type_def_10, type, real: $tType).
% 0.49/0.44 thf(type_def_11, type, cars: $tType).
% 0.49/0.44 thf(type_def_12, type, nat: $tType).
% 0.49/0.44 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 0.49/0.44 thf(func_def_0, type, one: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_2, type, monoid_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_3, type, wellorder: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_4, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_5, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_6, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_7, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_8, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_9, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_10, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_11, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_12, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 0.49/0.44 thf(func_def_13, type, one_one: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_14, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.49/0.44 thf(func_def_15, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_16, type, len: ((cars > traffic > cars > real) > view_ext @ product_unit > traffic > cars > real_int)).
% 0.49/0.44 thf(func_def_17, type, move: (traffic > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_18, type, nat_card: (nat_int > nat)).
% 0.49/0.44 thf(func_def_19, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_20, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.44 thf(func_def_21, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.44 thf(func_def_22, type, real_length: (real_int > real)).
% 0.49/0.44 thf(func_def_23, type, regular_regular: (cars > traffic > cars > real)).
% 0.49/0.44 thf(func_def_24, type, restrict: (view_ext @ product_unit > (cars > nat_int) > cars > nat_int)).
% 0.49/0.44 thf(func_def_25, type, abstract: (traffic > traffic > $o)).
% 0.49/0.44 thf(func_def_26, type, clm: (traffic > cars > nat_int)).
% 0.49/0.44 thf(func_def_27, type, create_claim: (traffic > cars > nat > traffic > $o)).
% 0.49/0.44 thf(func_def_28, type, create_reservation: (traffic > cars > traffic > $o)).
% 0.49/0.44 thf(func_def_29, type, res: (traffic > cars > nat_int)).
% 0.49/0.44 thf(func_def_30, type, withdraw_claim: (traffic > cars > traffic > $o)).
% 0.49/0.44 thf(func_def_31, type, withdraw_reservation: (traffic > cars > nat > traffic > $o)).
% 0.49/0.44 thf(func_def_32, type, ext: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 0.49/0.44 thf(func_def_33, type, hchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 0.49/0.44 thf(func_def_34, type, lan: !>[X0: $tType]:((view_ext @ X0 > nat_int))).
% 0.49/0.44 thf(func_def_35, type, own: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 0.49/0.44 thf(func_def_36, type, vchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 0.49/0.44 thf(func_def_37, type, c: cars).
% 0.49/0.44 thf(func_def_38, type, d: cars).
% 0.49/0.44 thf(func_def_39, type, e: cars).
% 0.49/0.44 thf(func_def_40, type, thesis: $o).
% 0.49/0.44 thf(func_def_41, type, ts: traffic).
% 0.49/0.44 thf(func_def_42, type, ts2: traffic).
% 0.49/0.44 thf(func_def_43, type, ts_a: traffic).
% 0.49/0.44 thf(func_def_44, type, ts3: traffic).
% 0.49/0.44 thf(func_def_45, type, v: view_ext @ product_unit).
% 0.49/0.44 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.44 thf(func_def_50, type, vIMP: ($o > $o > $o)).
% 0.49/0.44 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_52, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.49/0.44 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 0.49/0.44 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.44 thf(func_def_56, type, vNOT: ($o > $o)).
% 0.49/0.44 thf(func_def_57, type, vOR: ($o > $o > $o)).
% 0.49/0.44 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.44 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_60, type, db7: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_61, type, db6: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_62, type, db5: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_63, type, db8: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_64, type, db4: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 0.49/0.44 thf(func_def_66, type, sP0: (traffic > cars > view_ext @ product_unit > $o)).
% 0.49/0.44 thf(func_def_67, type, sP1: (view_ext @ product_unit > traffic > cars > $o)).
% 0.49/0.44 thf(func_def_68, type, sK2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.49/0.44 thf(func_def_69, type, sK3: (traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_70, type, sK4: (traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_71, type, sK5: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_72, type, sK6: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_73, type, sK7: cars).
% 0.49/0.44 thf(func_def_74, type, sK8: ((nat > $o) > nat)).
% 0.49/0.44 thf(func_def_75, type, sK9: (traffic > view_ext @ product_unit > cars > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_76, type, sK10: (traffic > view_ext @ product_unit > cars > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_77, type, sK11: (traffic > view_ext @ product_unit > cars > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_78, type, sK12: (traffic > view_ext @ product_unit > cars > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_79, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.49/0.44 thf(func_def_80, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.49/0.44 thf(func_def_81, type, sK15: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_82, type, sK16: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_83, type, sK17: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_84, type, sK18: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_85, type, sK19: cars).
% 0.49/0.44 thf(func_def_86, type, sK20: (nat > nat > nat)).
% 0.49/0.44 thf(func_def_87, type, sK21: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > traffic)).
% 0.49/0.44 thf(func_def_88, type, sK22: ((nat > $o) > nat > nat)).
% 0.49/0.44 thf(func_def_89, type, sK23: view_ext @ product_unit).
% 0.49/0.44 thf(func_def_90, type, sK24: ((nat > $o) > nat)).
% 0.49/0.44 thf(func_def_91, type, sK25: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > traffic)).
% 0.49/0.44 thf(func_def_92, type, sK26: ((nat > nat) > nat)).
% 0.49/0.44 thf(func_def_93, type, sK27: ((nat > nat) > nat)).
% 0.49/0.44 thf(func_def_94, type, sK28: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_95, type, sK29: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_96, type, sK30: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_97, type, sK31: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_98, type, sK32: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_99, type, sK33: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_100, type, sK34: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_101, type, sK35: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_102, type, sK36: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_103, type, sK37: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_104, type, sK38: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_105, type, sK39: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_106, type, sK40: ((nat > $o) > nat)).
% 0.49/0.44 thf(func_def_107, type, sK41: (nat > nat > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_108, type, sK42: (nat > nat > view_ext @ product_unit > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_109, type, sK43: ((nat > $o) > nat > nat)).
% 0.49/0.44 thf(func_def_110, type, sK44: ((nat > $o) > nat)).
% 0.49/0.44 thf(func_def_111, type, sK45: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_112, type, sK46: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_113, type, sK47: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_114, type, sK48: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.49/0.44 thf(func_def_115, type, sK49: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.49/0.44 thf(f5,axiom,(
% 0.49/0.44 ? [X0 : view_ext @ product_unit] : ((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v)) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))))),
% 0.49/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062)).
% 0.49/0.44 thf(f278,axiom,(
% 0.49/0.44 ! [X0 : view_ext @ product_unit] : (((((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v)) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) => thesis)),
% 0.49/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.49/0.44 thf(f279,conjecture,(
% 0.49/0.44 thesis),
% 0.49/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.49/0.44 thf(f280,negated_conjecture,(
% 0.49/0.44 ~thesis),
% 0.49/0.44 inference(negated_conjecture,[status(cth)],[f279])).
% 0.49/0.44 thf(f389,plain,(
% 0.49/0.44 ? [X0 : view_ext @ product_unit] : ((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v)) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))))),
% 0.49/0.44 inference(rectify,[],[f5])).
% 0.49/0.44 thf(f390,plain,(
% 0.49/0.44 ? [X0 : view_ext @ product_unit] : ((((lan @ product_unit @ X0)) = ((restrict @ X0 @ (res @ ts) @ e))) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ c))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ e))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) = $true) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true))),
% 0.49/0.44 inference(fool_elimination,[],[f389])).
% 0.49/0.44 thf(f563,plain,(
% 0.49/0.44 ! [X0 : view_ext @ product_unit] : (((((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v)) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) => thesis)),
% 0.49/0.44 inference(rectify,[],[f278])).
% 0.49/0.44 thf(f564,plain,(
% 0.49/0.44 ! [X0 : view_ext @ product_unit] : (((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ e))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ c))) & (((lan @ product_unit @ X0)) = ((restrict @ X0 @ (res @ ts) @ e))) & (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) = $true)) => (thesis = $true))),
% 0.49/0.44 inference(fool_elimination,[],[f563])).
% 0.49/0.44 thf(f688,plain,(
% 0.49/0.44 ~thesis),
% 0.49/0.44 inference(rectify,[],[f280])).
% 0.49/0.44 thf(f689,plain,(
% 0.49/0.44 ~ (thesis = $true)),
% 0.49/0.44 inference(fool_elimination,[],[f688])).
% 0.49/0.44 thf(f808,plain,(
% 0.49/0.44 (thesis != $true)),
% 0.49/0.44 inference(flattening,[],[f689])).
% 0.49/0.44 thf(f878,plain,(
% 0.49/0.44 ! [X0 : view_ext @ product_unit] : ((thesis = $true) | ((((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true)))),
% 0.49/0.44 inference(ennf_transformation,[],[f564])).
% 0.49/0.44 thf(f879,plain,(
% 0.49/0.44 ! [X0 : view_ext @ product_unit] : ((thesis = $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true))),
% 0.49/0.44 inference(flattening,[],[f878])).
% 0.49/0.44 thf(f1042,plain,(
% 0.49/0.44 (((lan @ product_unit @ sK23)) = ((restrict @ sK23 @ (res @ ts) @ e))) & (((ext @ product_unit @ sK23)) = ((len @ regular_regular @ sK23 @ ts @ c))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK23)))) = $true) & (one_one @ nat = ((nat_card @ (lan @ product_unit @ sK23)))) & (((ext @ product_unit @ sK23)) = ((len @ regular_regular @ sK23 @ ts @ e))) & (one_one @ nat = ((nat_card @ (lan @ product_unit @ sK23)))) & (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) = $true) & (((restrict @ sK23 @ (res @ ts) @ c)) = ((lan @ product_unit @ sK23))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK23)))) = $true)),
% 0.49/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f390])).
% 0.49/0.44 thf(f1138,plain,(
% 0.49/0.44 ( ! [X0 : view_ext @ product_unit] : ((((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (thesis = $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e)))) )),
% 0.49/0.44 inference(cnf_transformation,[],[f879])).
% 0.49/0.44 thf(f1153,plain,(
% 0.49/0.44 (thesis != $true)),
% 0.49/0.44 inference(cnf_transformation,[],[f808])).
% 0.49/0.44 thf(f1202,plain,(
% 0.49/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK23)))) = $true)),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1203,plain,(
% 0.49/0.44 (((restrict @ sK23 @ (res @ ts) @ c)) = ((lan @ product_unit @ sK23)))),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1204,plain,(
% 0.49/0.44 (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) = $true)),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1205,plain,(
% 0.49/0.44 (one_one @ nat = ((nat_card @ (lan @ product_unit @ sK23))))),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1206,plain,(
% 0.49/0.44 (((ext @ product_unit @ sK23)) = ((len @ regular_regular @ sK23 @ ts @ e)))),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1209,plain,(
% 0.49/0.44 (((ext @ product_unit @ sK23)) = ((len @ regular_regular @ sK23 @ ts @ c)))),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1210,plain,(
% 0.49/0.44 (((lan @ product_unit @ sK23)) = ((restrict @ sK23 @ (res @ ts) @ e)))),
% 0.49/0.44 inference(cnf_transformation,[],[f1042])).
% 0.49/0.44 thf(f1308,plain,(
% 0.49/0.44 ( ! [X0 : view_ext @ product_unit] : ((((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true) | (thesis = $true) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true)) )),
% 0.49/0.44 inference(duplicate_literal_removal,[],[f1138])).
% 0.49/0.44 thf(f1309,plain,(
% 0.49/0.44 ( ! [X0 : view_ext @ product_unit] : ((((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true)) )),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1308,f1153])).
% 0.49/0.44 thf(f1312,plain,(
% 0.49/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK23)))) != $true) | (((ext @ product_unit @ sK23)) != ((ext @ product_unit @ sK23))) | (((lan @ product_unit @ sK23)) != ((restrict @ sK23 @ (res @ ts) @ e))) | (one_one @ nat != ((nat_card @ (lan @ product_unit @ sK23)))) | (((restrict @ sK23 @ (res @ ts) @ c)) != ((lan @ product_unit @ sK23))) | (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) != $true) | (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c)))),
% 0.49/0.44 inference(superposition,[],[f1309,f1206])).
% 0.49/0.44 thf(f1329,plain,(
% 0.49/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK23)))) != $true) | (((lan @ product_unit @ sK23)) != ((restrict @ sK23 @ (res @ ts) @ e))) | (((restrict @ sK23 @ (res @ ts) @ c)) != ((lan @ product_unit @ sK23))) | (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) != $true) | (one_one @ nat != ((nat_card @ (lan @ product_unit @ sK23)))) | (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c)))),
% 0.49/0.44 inference(trivial_inequality_removal,[],[f1312])).
% 0.49/0.44 thf(f1340,plain,(
% 0.49/0.44 (one_one @ nat != ((nat_card @ (lan @ product_unit @ sK23)))) | (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) != $true) | (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c))) | (((lan @ product_unit @ sK23)) != ((restrict @ sK23 @ (res @ ts) @ e))) | (((restrict @ sK23 @ (res @ ts) @ c)) != ((lan @ product_unit @ sK23)))),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1329,f1202])).
% 0.49/0.44 thf(f1347,plain,(
% 0.49/0.44 (((restrict @ sK23 @ (res @ ts) @ c)) != ((lan @ product_unit @ sK23))) | (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c))) | (((lan @ product_unit @ sK23)) != ((restrict @ sK23 @ (res @ ts) @ e))) | (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) != $true)),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1340,f1205])).
% 0.49/0.44 thf(f1354,plain,(
% 0.49/0.44 (((ord_less_eq @ view_ext @ product_unit @ sK23 @ (move @ ts3 @ ts @ v))) != $true) | (((lan @ product_unit @ sK23)) != ((restrict @ sK23 @ (res @ ts) @ e))) | (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c)))),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1347,f1203])).
% 0.49/0.44 thf(f1358,plain,(
% 0.49/0.44 (((lan @ product_unit @ sK23)) != ((restrict @ sK23 @ (res @ ts) @ e))) | (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c)))),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1354,f1204])).
% 0.49/0.44 thf(f1359,plain,(
% 0.49/0.44 (((ext @ product_unit @ sK23)) != ((len @ regular_regular @ sK23 @ ts @ c)))),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1358,f1210])).
% 0.49/0.44 thf(f1360,plain,(
% 0.49/0.44 $false),
% 0.49/0.44 inference(forward_subsumption_resolution,[],[f1359,f1209])).
% 0.49/0.44 % SZS output end Proof for theBenchmark
% 0.49/0.44 % (2139662)------------------------------
% 0.49/0.44 % (2139662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.44 % (2139662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.44 % (2139662)CaDiCaL version: 2.1.3
% 0.49/0.44 % (2139662)Termination reason: Refutation
% 0.49/0.44 % (2139662)Time elapsed: 0.038 s
% 0.49/0.44 % (2139662)Peak memory usage: 14 MB
% 0.49/0.44 % (2139662)Instructions burned: 154 (million)
% 0.49/0.44 % (2139602)Success in time 0.154 s
% 0.49/0.44 % Vampire exiting
%------------------------------------------------------------------------------