%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP118^2 : 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 : n012.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 08:08:25 AM UTC 2026
% Result : Theorem 0.48s 0.29s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP118^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 19:56:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.15 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
% 0.08/0.24 % (608683)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.24 % (608694)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.24 % (608694)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
% 0.08/0.24 % (608692)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3562822616:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.24 % (608690)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1285982914:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.24 % (608689)lrs+10_16_si=on:nwc=1.5:random_seed=132462281:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.24 % (608688)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3857340688:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.24 % (608693)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1286736760:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.24 % (608691)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=1988486310: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)
% 0.08/0.24 % (608694)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=2233258794:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.24 % (608690)Instruction limit reached!
% 0.08/0.24 % (608690)------------------------------
% 0.08/0.24 % (608690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (608690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (608690)CaDiCaL version: 2.1.3
% 0.08/0.24 % (608690)Termination reason: Instruction limit
% 0.08/0.24 % (608690)Termination phase: shuffling
% 0.08/0.24 % (608690)Time elapsed: 0.003 s
% 0.08/0.24 % (608690)Peak memory usage: 10 MB
% 0.08/0.24 % (608690)Instructions burned: 11 (million)
% 0.08/0.24 % (608689)Instruction limit reached!
% 0.08/0.24 % (608689)------------------------------
% 0.08/0.24 % (608689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (608689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (608689)CaDiCaL version: 2.1.3
% 0.08/0.24 % (608689)Termination reason: Instruction limit
% 0.08/0.24 % (608689)Termination phase: Property scanning
% 0.08/0.24 % (608689)Time elapsed: 0.005 s
% 0.08/0.24 % (608689)Peak memory usage: 10 MB
% 0.08/0.24 % (608689)Instructions burned: 20 (million)
% 0.08/0.24 % (608692)Instruction limit reached!
% 0.08/0.24 % (608692)------------------------------
% 0.08/0.24 % (608692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (608692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (608692)CaDiCaL version: 2.1.3
% 0.08/0.24 % (608692)Termination reason: Instruction limit
% 0.08/0.24 % (608692)Termination phase: Property scanning
% 0.08/0.24 % (608692)Time elapsed: 0.006 s
% 0.08/0.24 % (608692)Peak memory usage: 10 MB
% 0.08/0.24 % (608692)Instructions burned: 26 (million)
% 0.08/0.24 % (608702)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2407703278:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.24 % (608704)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.24 % (608703)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=624629626:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.08/0.24 % (608704)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2829466967:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.08/0.24 % (608702)Instruction limit reached!
% 0.08/0.24 % (608702)------------------------------
% 0.08/0.24 % (608702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (608702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (608702)CaDiCaL version: 2.1.3
% 0.48/0.26 % (608702)Termination reason: Instruction limit
% 0.48/0.26 % (608702)Termination phase: shuffling
% 0.48/0.26 % (608702)Time elapsed: 0.003 s
% 0.48/0.26 % (608702)Peak memory usage: 10 MB
% 0.48/0.26 % (608702)Instructions burned: 10 (million)
% 0.48/0.26 % (608703)Instruction limit reached!
% 0.48/0.26 % (608703)------------------------------
% 0.48/0.26 % (608703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (608703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (608703)CaDiCaL version: 2.1.3
% 0.48/0.26 % (608703)Termination reason: Instruction limit
% 0.48/0.26 % (608703)Termination phase: shuffling
% 0.48/0.26 % (608703)Time elapsed: 0.002 s
% 0.48/0.26 % (608703)Peak memory usage: 10 MB
% 0.48/0.26 % (608703)Instructions burned: 8 (million)
% 0.48/0.26 % (608693)Instruction limit reached!
% 0.48/0.26 % (608693)------------------------------
% 0.48/0.26 % (608693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (608693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (608693)CaDiCaL version: 2.1.3
% 0.48/0.26 % (608693)Termination reason: Instruction limit
% 0.48/0.26 % (608693)Termination phase: Property scanning
% 0.48/0.26 % (608693)Time elapsed: 0.019 s
% 0.48/0.26 % (608693)Peak memory usage: 12 MB
% 0.48/0.26 % (608693)Instructions burned: 77 (million)
% 0.48/0.26 % (608704)Instruction limit reached!
% 0.48/0.26 % (608704)------------------------------
% 0.48/0.26 % (608704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (608704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (608704)CaDiCaL version: 2.1.3
% 0.48/0.26 % (608704)Termination reason: Instruction limit
% 0.48/0.26 % (608704)Termination phase: shuffling
% 0.48/0.26 % (608704)Time elapsed: 0.003 s
% 0.48/0.26 % (608704)Peak memory usage: 10 MB
% 0.48/0.26 % (608704)Instructions burned: 12 (million)
% 0.48/0.26 % (608688)Instruction limit reached!
% 0.48/0.26 % (608688)------------------------------
% 0.48/0.26 % (608688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (608688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (608688)CaDiCaL version: 2.1.3
% 0.48/0.26 % (608688)Termination reason: Instruction limit
% 0.48/0.26 % (608688)Termination phase: Saturation
% 0.48/0.26 % (608688)Time elapsed: 0.022 s
% 0.48/0.26 % (608688)Peak memory usage: 13 MB
% 0.48/0.26 % (608688)Instructions burned: 90 (million)
% 0.48/0.26 % (608709)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
% 0.48/0.26 % (608709)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.26 % (608708)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3258038729:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.48/0.26 % (608709)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=291063173:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.48/0.26 % (608710)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=3855503225:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.48/0.26 % (608711)lrs+10_1_si=on:cs=on:random_seed=3333633809:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.48/0.26 % (608708)Instruction limit reached!
% 0.48/0.26 % (608708)------------------------------
% 0.48/0.26 % (608708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.26 % (608708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.26 % (608708)CaDiCaL version: 2.1.3
% 0.48/0.26 % (608708)Termination reason: Instruction limit
% 0.48/0.26 % (608708)Termination phase: shuffling
% 0.48/0.26 % (608708)Time elapsed: 0.003 s
% 0.48/0.26 % (608708)Peak memory usage: 10 MB
% 0.48/0.26 % (608708)Instructions burned: 13 (million)
% 0.48/0.26 % (608711)Instruction limit reached!
% 0.48/0.26 % (608711)------------------------------
% 0.48/0.26 % (608711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28 % (608711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28 % (608711)CaDiCaL version: 2.1.3
% 0.48/0.28 % (608711)Termination reason: Instruction limit
% 0.48/0.28 % (608711)Termination phase: shuffling
% 0.48/0.28 % (608711)Time elapsed: 0.003 s
% 0.48/0.28 % (608711)Peak memory usage: 10 MB
% 0.48/0.28 % (608711)Instructions burned: 10 (million)
% 0.48/0.28 % (608712)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.48/0.28 % (608709)Instruction limit reached!
% 0.48/0.28 % (608709)------------------------------
% 0.48/0.28 % (608709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28 % (608709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28 % (608709)CaDiCaL version: 2.1.3
% 0.48/0.28 % (608709)Termination reason: Instruction limit
% 0.48/0.28 % (608709)Termination phase: Property scanning
% 0.48/0.28 % (608709)Time elapsed: 0.007 s
% 0.48/0.28 % (608709)Peak memory usage: 10 MB
% 0.48/0.28 % (608709)Instructions burned: 29 (million)
% 0.48/0.28 % (608712)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=2660832015:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.28 % (608712)Instruction limit reached!
% 0.48/0.28 % (608712)------------------------------
% 0.48/0.28 % (608712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28 % (608712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28 % (608712)CaDiCaL version: 2.1.3
% 0.48/0.28 % (608712)Termination reason: Instruction limit
% 0.48/0.28 % (608712)Termination phase: shuffling
% 0.48/0.28 % (608712)Time elapsed: 0.002 s
% 0.48/0.28 % (608712)Peak memory usage: 10 MB
% 0.48/0.28 % (608712)Instructions burned: 4 (million)
% 0.48/0.28 % (608717)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3857704088:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.48/0.28 % (608694)Instruction limit reached!
% 0.48/0.28 % (608694)------------------------------
% 0.48/0.28 % (608694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28 % (608694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28 % (608694)CaDiCaL version: 2.1.3
% 0.48/0.28 % (608694)Termination reason: Instruction limit
% 0.48/0.28 % (608694)Termination phase: Saturation
% 0.48/0.28 % (608694)Time elapsed: 0.042 s
% 0.48/0.28 % (608694)Peak memory usage: 14 MB
% 0.48/0.28 % (608694)Instructions burned: 157 (million)
% 0.48/0.28 % (608710)Instruction limit reached!
% 0.48/0.28 % (608710)------------------------------
% 0.48/0.28 % (608710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28 % (608710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28 % (608710)CaDiCaL version: 2.1.3
% 0.48/0.28 % (608710)Termination reason: Instruction limit
% 0.48/0.28 % (608710)Termination phase: Property scanning
% 0.48/0.28 % (608710)Time elapsed: 0.019 s
% 0.48/0.28 % (608710)Peak memory usage: 11 MB
% 0.48/0.28 % (608710)Instructions burned: 86 (million)
% 0.48/0.28 % (608721)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=930520180:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.48/0.28 % (608718)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2219122821:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.48/0.28 % (608717)Instruction limit reached!
% 0.48/0.28 % (608717)------------------------------
% 0.48/0.28 % (608717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28 % (608717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28 % (608717)CaDiCaL version: 2.1.3
% 0.48/0.28 % (608717)Termination reason: Instruction limit
% 0.48/0.28 % (608717)Termination phase: Preprocessing 3
% 0.48/0.28 % (608717)Time elapsed: 0.010 s
% 0.48/0.28 % (608717)Peak memory usage: 11 MB
% 0.48/0.28 % (608717)Instructions burned: 38 (million)
% 0.48/0.28 % (608723)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=758658168:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.48/0.28 % (608719)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=212642092:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.48/0.29 % (608721)Instruction limit reached!
% 0.48/0.29 % (608721)------------------------------
% 0.48/0.29 % (608721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608721)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608721)Termination reason: Instruction limit
% 0.48/0.29 % (608721)Termination phase: shuffling
% 0.48/0.29 % (608721)Time elapsed: 0.004 s
% 0.48/0.29 % (608721)Peak memory usage: 11 MB
% 0.48/0.29 % (608721)Instructions burned: 14 (million)
% 0.48/0.29 % (608724)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1826275736:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.48/0.29 % (608727)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2674486420:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.29 % (608730)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2246141985:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.48/0.29 % (608724)Instruction limit reached!
% 0.48/0.29 % (608724)------------------------------
% 0.48/0.29 % (608724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608724)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608724)Termination reason: Instruction limit
% 0.48/0.29 % (608724)Termination phase: shuffling
% 0.48/0.29 % (608724)Time elapsed: 0.004 s
% 0.48/0.29 % (608724)Peak memory usage: 10 MB
% 0.48/0.29 % (608724)Instructions burned: 17 (million)
% 0.48/0.29 % (608718)Refutation not found, incomplete strategy
% 0.48/0.29 % (608718)------------------------------
% 0.48/0.29 % (608718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608718)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608718)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.29 % (608718)Time elapsed: 0.013 s
% 0.48/0.29 % (608718)Peak memory usage: 13 MB
% 0.48/0.29 % (608718)Instructions burned: 37 (million)
% 0.48/0.29 % (608719)Instruction limit reached!
% 0.48/0.29 % (608719)------------------------------
% 0.48/0.29 % (608719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608719)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608719)Termination reason: Instruction limit
% 0.48/0.29 % (608719)Termination phase: Property scanning
% 0.48/0.29 % (608719)Time elapsed: 0.010 s
% 0.48/0.29 % (608719)Peak memory usage: 11 MB
% 0.48/0.29 % (608719)Instructions burned: 26 (million)
% 0.48/0.29 % (608718)------------------------------
% 0.48/0.29 % (608718)------------------------------
% 0.48/0.29 % (608727)Instruction limit reached!
% 0.48/0.29 % (608727)------------------------------
% 0.48/0.29 % (608727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608727)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608727)Termination reason: Instruction limit
% 0.48/0.29 % (608727)Termination phase: shuffling
% 0.48/0.29 % (608727)Time elapsed: 0.004 s
% 0.48/0.29 % (608727)Peak memory usage: 10 MB
% 0.48/0.29 % (608727)Instructions burned: 14 (million)
% 0.48/0.29 % (608730)Instruction limit reached!
% 0.48/0.29 % (608730)------------------------------
% 0.48/0.29 % (608730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608730)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608730)Termination reason: Instruction limit
% 0.48/0.29 % (608730)Termination phase: shuffling
% 0.48/0.29 % (608730)Time elapsed: 0.007 s
% 0.48/0.29 % (608730)Peak memory usage: 10 MB
% 0.48/0.29 % (608730)Instructions burned: 28 (million)
% 0.48/0.29 % (608736)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
% 0.48/0.29 % (608736)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.48/0.29 % (608737)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.48/0.29 % (608735)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2966808266:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.48/0.29 % (608734)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=479147452:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.48/0.29 % (608736)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=2796734188:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.48/0.29 % (608737)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=2119063649:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.48/0.29 % (608737)Instruction limit reached!
% 0.48/0.29 % (608737)------------------------------
% 0.48/0.29 % (608737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608737)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608737)Termination reason: Instruction limit
% 0.48/0.29 % (608737)Termination phase: shuffling
% 0.48/0.29 % (608737)Time elapsed: 0.003 s
% 0.48/0.29 % (608737)Peak memory usage: 10 MB
% 0.48/0.29 % (608737)Instructions burned: 12 (million)
% 0.48/0.29 % (608736)Instruction limit reached!
% 0.48/0.29 % (608736)------------------------------
% 0.48/0.29 % (608736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608736)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608736)Termination reason: Instruction limit
% 0.48/0.29 % (608736)Termination phase: shuffling
% 0.48/0.29 % (608736)Time elapsed: 0.004 s
% 0.48/0.29 % (608736)Peak memory usage: 10 MB
% 0.48/0.29 % (608736)Instructions burned: 17 (million)
% 0.48/0.29 % (608734)Instruction limit reached!
% 0.48/0.29 % (608734)------------------------------
% 0.48/0.29 % (608734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608734)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608734)Termination reason: Instruction limit
% 0.48/0.29 % (608734)Termination phase: Property scanning
% 0.48/0.29 % (608734)Time elapsed: 0.006 s
% 0.48/0.29 % (608734)Peak memory usage: 10 MB
% 0.48/0.29 % (608734)Instructions burned: 23 (million)
% 0.48/0.29 % (608738)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=39491523:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.48/0.29 % (608738)Instruction limit reached!
% 0.48/0.29 % (608738)------------------------------
% 0.48/0.29 % (608738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608738)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608738)Termination reason: Instruction limit
% 0.48/0.29 % (608738)Termination phase: Property scanning
% 0.48/0.29 % (608738)Time elapsed: 0.008 s
% 0.48/0.29 % (608738)Peak memory usage: 10 MB
% 0.48/0.29 % (608738)Instructions burned: 35 (million)
% 0.48/0.29 % (608744)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1376573373:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.48/0.29 % (608743)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1221515823:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.48/0.29 % (608735)Instruction limit reached!
% 0.48/0.29 % (608735)------------------------------
% 0.48/0.29 % (608735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608735)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608735)Termination reason: Instruction limit
% 0.48/0.29 % (608735)Termination phase: Property scanning
% 0.48/0.29 % (608735)Time elapsed: 0.015 s
% 0.48/0.29 % (608735)Peak memory usage: 12 MB
% 0.48/0.29 % (608735)Instructions burned: 63 (million)
% 0.48/0.29 % (608746)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=618547031:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.48/0.29 % (608743)Instruction limit reached!
% 0.48/0.29 % (608743)------------------------------
% 0.48/0.29 % (608743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608743)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608743)Termination reason: Instruction limit
% 0.48/0.29 % (608743)Termination phase: shuffling
% 0.48/0.29 % (608743)Time elapsed: 0.002 s
% 0.48/0.29 % (608743)Peak memory usage: 10 MB
% 0.48/0.29 % (608743)Instructions burned: 8 (million)
% 0.48/0.29 % (608744)Instruction limit reached!
% 0.48/0.29 % (608744)------------------------------
% 0.48/0.29 % (608744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608691) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-608683-608691"...
% 0.48/0.29 % (608744)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608744)Termination reason: Instruction limit
% 0.48/0.29 % (608744)Termination phase: shuffling
% 0.48/0.29 % (608744)Time elapsed: 0.006 s
% 0.48/0.29 % (608744)Peak memory usage: 10 MB
% 0.48/0.29 % (608744)Instructions burned: 26 (million)
% 0.48/0.29 % (608746)Instruction limit reached!
% 0.48/0.29 % (608746)------------------------------
% 0.48/0.29 % (608746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608746)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608746)Termination reason: Instruction limit
% 0.48/0.29 % (608746)Termination phase: Property scanning
% 0.48/0.29 % (608746)Time elapsed: 0.005 s
% 0.48/0.29 % (608746)Peak memory usage: 10 MB
% 0.48/0.29 % (608746)Instructions burned: 22 (million)
% 0.48/0.29 % (608691)...printing done.
% 0.48/0.29 % (608749)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1060615101:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.48/0.29 % (608691)Refutation found. Thanks to Tanya!
% 0.48/0.29 % SZS status Theorem for theBenchmark
% 0.48/0.29 % SZS output start Proof for theBenchmark
% 0.48/0.29 thf(type_def_5, type, finite_Cartesian_vec: ($tType * $tType) > $tType).
% 0.48/0.29 thf(type_def_6, type, numeral_num1: $tType).
% 0.48/0.29 thf(type_def_7, type, real: $tType).
% 0.48/0.29 thf(type_def_8, type, set: $tType > $tType).
% 0.48/0.29 thf(type_def_9, type, int: $tType).
% 0.48/0.29 thf(type_def_10, type, n: $tType).
% 0.48/0.29 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.48/0.29 thf(func_def_0, type, cARD_1: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_3, type, ring: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_4, type, zero: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_5, type, field: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_6, type, minus: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_7, type, ring_1: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_8, type, ord: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_9, type, ring_char_0: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_10, type, order: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_11, type, group_add: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_12, type, no_bot: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_13, type, no_top: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_14, type, finite_finite: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_15, type, monoid_mult: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_16, type, linorder: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_17, type, preorder: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_18, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_19, type, wellorder: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_20, type, dense_order: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_21, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_22, type, dense_linorder: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_23, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_24, type, real_V1639655670t_norm: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_25, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_26, type, archim1727834104eiling: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_27, type, ordere142940540dd_abs: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_28, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_29, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_30, type, archim1804426504_field: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_31, type, real_V55928688vector: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_32, type, real_V1229719638ebra_1: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_33, type, ordere890947078_space: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_34, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_35, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 0.48/0.29 thf(func_def_36, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_37, type, archim2085082626_floor: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_38, type, finite1218308419n_axis: !>[X0: $tType, X1: $tType]:((X0 > X1 > finite_Cartesian_vec @ X1 @ X0))).
% 0.48/0.29 thf(func_def_39, type, finite1115014511_index: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ X0 @ X1 > X1))).
% 0.48/0.29 thf(func_def_40, type, finite1614961371matrix: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > finite_Cartesian_vec @ finite_Cartesian_vec @ X0 @ X2 @ X3 > finite_Cartesian_vec @ finite_Cartesian_vec @ X1 @ X2 @ X3))).
% 0.48/0.29 thf(func_def_41, type, finite_Cartesian_vec2: !>[X0: $tType, X1: $tType]:((X0 > finite_Cartesian_vec @ X0 @ X1))).
% 0.48/0.29 thf(func_def_42, type, finite1433825200ec_nth: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ X0 @ X1 > X1 > X0))).
% 0.48/0.29 thf(func_def_43, type, finite431509953r_mult: !>[X0: $tType, X1: $tType]:((X0 > finite_Cartesian_vec @ X0 @ X1 > finite_Cartesian_vec @ X0 @ X1))).
% 0.48/0.29 thf(func_def_44, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.29 thf(func_def_45, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_46, type, one_one: !>[X0: $tType]:(X0)).
% 0.48/0.29 thf(func_def_47, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_48, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 0.48/0.29 thf(func_def_49, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 0.48/0.29 thf(func_def_50, type, minkow1937162798nt_vec: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ int @ X0 > finite_Cartesian_vec @ X1 @ X0))).
% 0.48/0.29 thf(func_def_51, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.29 thf(func_def_52, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.29 thf(func_def_53, type, real_V2000881966t_dist: !>[X0: $tType]:((X0 > X0 > real))).
% 0.48/0.29 thf(func_def_54, type, real_V1127708846m_norm: !>[X0: $tType]:((X0 > real))).
% 0.48/0.29 thf(func_def_55, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.48/0.29 thf(func_def_56, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.48/0.29 thf(func_def_57, type, a: set @ finite_Cartesian_vec @ real @ n).
% 0.48/0.29 thf(func_def_58, type, i: n).
% 0.48/0.29 thf(func_def_59, type, m: int).
% 0.48/0.29 thf(func_def_60, type, x: finite_Cartesian_vec @ real @ n).
% 0.48/0.29 thf(func_def_61, type, y: finite_Cartesian_vec @ real @ n).
% 0.48/0.29 thf(func_def_65, type, vAND: ($o > $o > $o)).
% 0.48/0.29 thf(func_def_66, type, db1: !>[X0: $tType]:(X0)).
% 0.48/0.29 thf(func_def_67, type, db0: !>[X0: $tType]:(X0)).
% 0.48/0.29 thf(func_def_68, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.29 thf(func_def_69, type, vNOT: ($o > $o)).
% 0.48/0.29 thf(func_def_70, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.48/0.29 thf(func_def_71, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.48/0.29 thf(func_def_72, type, db2: !>[X0: $tType]:(X0)).
% 0.48/0.29 thf(func_def_73, type, vOR: ($o > $o > $o)).
% 0.48/0.29 thf(func_def_74, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.48/0.29 thf(func_def_75, type, vIMP: ($o > $o > $o)).
% 0.48/0.29 thf(func_def_76, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.48/0.29 thf(func_def_77, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.48/0.29 thf(func_def_78, type, sK2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.29 thf(func_def_79, type, sK3: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.29 thf(func_def_80, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_81, type, sK5: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.29 thf(func_def_82, type, sK6: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.29 thf(func_def_83, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_84, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_85, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_86, type, sK10: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_87, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_88, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_89, type, sK13: (real > set @ real > real)).
% 0.48/0.29 thf(func_def_90, type, sK14: (set @ real > real)).
% 0.48/0.29 thf(func_def_91, type, sK15: (real > set @ real > real)).
% 0.48/0.29 thf(func_def_92, type, sK16: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_93, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_94, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_95, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((finite_Cartesian_vec @ X0 @ X1 > finite_Cartesian_vec @ X2 @ X1 > X1))).
% 0.48/0.29 thf(func_def_96, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.29 thf(func_def_97, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.29 thf(func_def_98, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_99, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_100, type, sK24: ((int > $o) > int > int)).
% 0.48/0.29 thf(func_def_101, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_102, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_103, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_104, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_105, type, sK29: int).
% 0.48/0.29 thf(func_def_106, type, sK30: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_107, type, sK31: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_108, type, sK32: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_109, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_110, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_111, type, sK35: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_112, type, sK36: !>[X0: $tType]:((X0 > X0 > (X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_113, type, sK37: !>[X0: $tType]:((X0 > X0 > (X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_114, type, sK38: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.29 thf(func_def_115, type, sK39: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_116, type, sK40: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_117, type, sK41: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_118, type, sK42: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_119, type, sK43: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_120, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_121, type, sK45: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > $o) > X1))).
% 0.48/0.29 thf(func_def_122, type, sK46: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ X1 @ X0 > (X0 > X1 > $o) > X0))).
% 0.48/0.29 thf(func_def_123, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > finite_Cartesian_vec @ X1 @ X0))).
% 0.48/0.29 thf(func_def_124, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 0.48/0.29 thf(func_def_125, type, sK49: !>[X0: $tType]:((X0 > int))).
% 0.48/0.29 thf(func_def_126, type, sK50: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_127, type, sK51: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_128, type, sK52: !>[X0: $tType]:((set @ X0 > X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_129, type, sK53: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_130, type, sK54: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_131, type, sK55: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_132, type, sK56: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_133, type, sK57: (int > (int > $o) > int)).
% 0.48/0.29 thf(func_def_134, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.29 thf(func_def_135, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.29 thf(func_def_136, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_137, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_138, type, sK62: !>[X0: $tType]:(((int > $o) > X0 > int))).
% 0.48/0.29 thf(func_def_139, type, sK63: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.29 thf(func_def_140, type, sK64: !>[X0: $tType]:(((X0 > $o) > int))).
% 0.48/0.29 thf(func_def_141, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_142, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.29 thf(func_def_143, type, sK67: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_144, type, sK68: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.29 thf(func_def_146, type, sK70: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ X1 @ X0 > finite_Cartesian_vec @ X1 @ X0 > X0))).
% 0.48/0.29 thf(f3,axiom,(
% 0.48/0.29 (((ring_1_of_int @ real @ m)) = ((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))))),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_m)).
% 0.48/0.29 thf(f4,axiom,(
% 0.48/0.29 ~ ! [X0 : int] : (((ring_1_of_int @ real @ X0)) != ((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))))),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062m_O_Areal__of__int_Am_A_061_Ax_A_E_Ai_A_N_Ay_A_E_Ai_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)).
% 0.48/0.29 thf(f5,axiom,(
% 0.48/0.29 ! [X1 : $tType,X0 : $tType] : ((minus @ X0 & finite_finite @ X1) => ! [X2 : finite_Cartesian_vec @ X0 @ X1,X4 : X1,X3 : finite_Cartesian_vec @ X0 @ X1] : (((finite1433825200ec_nth @ X0 @ X1 @ (minus_minus @ finite_Cartesian_vec @ X0 @ X1 @ X2 @ X3) @ X4)) = ((minus_minus @ X0 @ (finite1433825200ec_nth @ X0 @ X1 @ X2 @ X4) @ (finite1433825200ec_nth @ X0 @ X1 @ X3 @ X4)))))),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_vector__minus__component)).
% 0.48/0.29 thf(f6,axiom,(
% 0.48/0.29 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X1 : int] : (((ring_1_of_int @ X0 @ (abs_abs @ int @ X1))) = ((abs_abs @ X0 @ (ring_1_of_int @ X0 @ X1)))))),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_of__int__abs)).
% 0.48/0.29 thf(f34,axiom,(
% 0.48/0.29 ! [X0 : $tType] : (real_V1229719638ebra_1 @ X0 => ! [X1 : int] : (((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X1)))))),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_norm__of__int)).
% 0.48/0.29 thf(f81,axiom,(
% 0.48/0.29 (real_V1127708846m_norm @ real = abs_abs @ real)),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_real__norm__def)).
% 0.48/0.29 thf(f301,axiom,(
% 0.48/0.29 real_V1229719638ebra_1 @ real),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra__1)).
% 0.48/0.29 thf(f312,axiom,(
% 0.48/0.29 linordered_idom @ real),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_24)).
% 0.48/0.29 thf(f325,axiom,(
% 0.48/0.29 minus @ real),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ominus_36)).
% 0.48/0.29 thf(f366,axiom,(
% 0.48/0.29 finite_finite @ n),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0)).
% 0.48/0.29 thf(f367,conjecture,(
% 0.48/0.29 (((ring_1_of_int @ real @ (abs_abs @ int @ m))) = ((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))))),
% 0.48/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.48/0.29 thf(f368,negated_conjecture,(
% 0.48/0.29 ~ (((ring_1_of_int @ real @ (abs_abs @ int @ m))) = ((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))))),
% 0.48/0.29 inference(negated_conjecture,[status(cth)],[f367])).
% 0.48/0.29 thf(f377,plain,(
% 0.48/0.29 finite_finite @ n),
% 0.48/0.29 inference(rectify,[],[f366])).
% 0.48/0.29 thf(f378,plain,(
% 0.48/0.29 (finite_finite @ n = $true)),
% 0.48/0.29 inference(fool_elimination,[],[f377])).
% 0.48/0.29 thf(f390,plain,(
% 0.48/0.29 minus @ real),
% 0.48/0.29 inference(rectify,[],[f325])).
% 0.48/0.29 thf(f391,plain,(
% 0.48/0.29 (minus @ real = $true)),
% 0.48/0.29 inference(fool_elimination,[],[f390])).
% 0.48/0.29 thf(f410,plain,(
% 0.48/0.29 real_V1229719638ebra_1 @ real),
% 0.48/0.29 inference(rectify,[],[f301])).
% 0.48/0.29 thf(f411,plain,(
% 0.48/0.29 (real_V1229719638ebra_1 @ real = $true)),
% 0.48/0.29 inference(fool_elimination,[],[f410])).
% 0.48/0.29 thf(f667,plain,(
% 0.48/0.29 ! [X0 : $tType] : (real_V1229719638ebra_1 @ X0 => ! [X1 : int] : (((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X1)))))),
% 0.48/0.29 inference(rectify,[],[f34])).
% 0.48/0.29 thf(f668,plain,(
% 0.48/0.29 ! [X0 : $tType] : ((real_V1229719638ebra_1 @ X0 = $true) => ! [X1 : int] : (((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X1)))))),
% 0.48/0.29 inference(fool_elimination,[],[f667])).
% 0.48/0.29 thf(f671,plain,(
% 0.48/0.29 ! [X0 : $tType,X1 : $tType] : ((minus @ X1 & finite_finite @ X0) => ! [X2 : finite_Cartesian_vec @ X1 @ X0,X3 : X0,X4 : finite_Cartesian_vec @ X1 @ X0] : (((finite1433825200ec_nth @ X1 @ X0 @ (minus_minus @ finite_Cartesian_vec @ X1 @ X0 @ X2 @ X4) @ X3)) = ((minus_minus @ X1 @ (finite1433825200ec_nth @ X1 @ X0 @ X2 @ X3) @ (finite1433825200ec_nth @ X1 @ X0 @ X4 @ X3)))))),
% 0.48/0.29 inference(rectify,[],[f5])).
% 0.48/0.29 thf(f672,plain,(
% 0.48/0.29 ! [X1 : $tType,X0 : $tType] : (((finite_finite @ X0 = $true) & (minus @ X1 = $true)) => ! [X2 : finite_Cartesian_vec @ X1 @ X0,X4 : finite_Cartesian_vec @ X1 @ X0,X3 : X0] : (((finite1433825200ec_nth @ X1 @ X0 @ (minus_minus @ finite_Cartesian_vec @ X1 @ X0 @ X2 @ X4) @ X3)) = ((minus_minus @ X1 @ (finite1433825200ec_nth @ X1 @ X0 @ X2 @ X3) @ (finite1433825200ec_nth @ X1 @ X0 @ X4 @ X3)))))),
% 0.48/0.29 inference(fool_elimination,[],[f671])).
% 0.48/0.29 thf(f1019,plain,(
% 0.48/0.29 linordered_idom @ real),
% 0.48/0.29 inference(rectify,[],[f312])).
% 0.48/0.29 thf(f1020,plain,(
% 0.48/0.29 (linordered_idom @ real = $true)),
% 0.48/0.29 inference(fool_elimination,[],[f1019])).
% 0.48/0.29 thf(f1067,plain,(
% 0.48/0.29 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X1 : int] : (((ring_1_of_int @ X0 @ (abs_abs @ int @ X1))) = ((abs_abs @ X0 @ (ring_1_of_int @ X0 @ X1)))))),
% 0.48/0.29 inference(rectify,[],[f6])).
% 0.48/0.29 thf(f1068,plain,(
% 0.48/0.29 ! [X0 : $tType] : ((linordered_idom @ X0 = $true) => ! [X1 : int] : (((ring_1_of_int @ X0 @ (abs_abs @ int @ X1))) = ((abs_abs @ X0 @ (ring_1_of_int @ X0 @ X1)))))),
% 0.48/0.29 inference(fool_elimination,[],[f1067])).
% 0.48/0.29 thf(f1096,plain,(
% 0.48/0.29 (((ring_1_of_int @ real @ (abs_abs @ int @ m))) != ((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))))),
% 0.48/0.29 inference(flattening,[],[f368])).
% 0.48/0.29 thf(f1111,plain,(
% 0.48/0.29 ! [X0 : $tType] : ((real_V1229719638ebra_1 @ X0 != $true) | ! [X1 : int] : (((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X1)))))),
% 0.48/0.29 inference(ennf_transformation,[],[f668])).
% 0.48/0.29 thf(f1295,plain,(
% 0.48/0.29 ! [X1 : $tType,X0 : $tType] : (! [X2 : finite_Cartesian_vec @ X1 @ X0,X4 : finite_Cartesian_vec @ X1 @ X0,X3 : X0] : (((finite1433825200ec_nth @ X1 @ X0 @ (minus_minus @ finite_Cartesian_vec @ X1 @ X0 @ X2 @ X4) @ X3)) = ((minus_minus @ X1 @ (finite1433825200ec_nth @ X1 @ X0 @ X2 @ X3) @ (finite1433825200ec_nth @ X1 @ X0 @ X4 @ X3)))) | ((finite_finite @ X0 != $true) | (minus @ X1 != $true)))),
% 0.48/0.29 inference(ennf_transformation,[],[f672])).
% 0.48/0.29 thf(f1296,plain,(
% 0.48/0.29 ! [X0 : $tType,X1 : $tType] : ((finite_finite @ X0 != $true) | (minus @ X1 != $true) | ! [X2 : finite_Cartesian_vec @ X1 @ X0,X4 : finite_Cartesian_vec @ X1 @ X0,X3 : X0] : (((finite1433825200ec_nth @ X1 @ X0 @ (minus_minus @ finite_Cartesian_vec @ X1 @ X0 @ X2 @ X4) @ X3)) = ((minus_minus @ X1 @ (finite1433825200ec_nth @ X1 @ X0 @ X2 @ X3) @ (finite1433825200ec_nth @ X1 @ X0 @ X4 @ X3)))))),
% 0.48/0.29 inference(flattening,[],[f1295])).
% 0.48/0.29 thf(f1391,plain,(
% 0.48/0.29 ? [X0 : int] : (((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))) = ((ring_1_of_int @ real @ X0)))),
% 0.48/0.29 inference(ennf_transformation,[],[f4])).
% 0.48/0.29 thf(f1473,plain,(
% 0.48/0.29 ! [X0 : $tType] : ((linordered_idom @ X0 != $true) | ! [X1 : int] : (((ring_1_of_int @ X0 @ (abs_abs @ int @ X1))) = ((abs_abs @ X0 @ (ring_1_of_int @ X0 @ X1)))))),
% 0.48/0.29 inference(ennf_transformation,[],[f1068])).
% 0.48/0.29 thf(f1537,plain,(
% 0.48/0.29 ! [X0 : $tType,X1 : $tType] : ((finite_finite @ X0 != $true) | (minus @ X1 != $true) | ! [X2 : finite_Cartesian_vec @ X1 @ X0,X3 : finite_Cartesian_vec @ X1 @ X0,X4 : X0] : (((minus_minus @ X1 @ (finite1433825200ec_nth @ X1 @ X0 @ X2 @ X4) @ (finite1433825200ec_nth @ X1 @ X0 @ X3 @ X4))) = ((finite1433825200ec_nth @ X1 @ X0 @ (minus_minus @ finite_Cartesian_vec @ X1 @ X0 @ X2 @ X3) @ X4))))),
% 0.48/0.29 inference(rectify,[],[f1296])).
% 0.48/0.29 thf(f1564,plain,(
% 0.48/0.29 (((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))) = ((ring_1_of_int @ real @ sK29)))),
% 0.48/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X0,sK29)],[f1391])).
% 0.48/0.29 thf(f1688,plain,(
% 0.48/0.29 ( ! [X0 : $tType,X1 : int] : ((((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X1)))) | (real_V1229719638ebra_1 @ X0 != $true)) )),
% 0.48/0.29 inference(cnf_transformation,[],[f1111])).
% 0.48/0.29 thf(f1720,plain,(
% 0.48/0.29 (((ring_1_of_int @ real @ (abs_abs @ int @ m))) != ((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))))),
% 0.48/0.29 inference(cnf_transformation,[],[f1096])).
% 0.48/0.29 thf(f1782,plain,(
% 0.48/0.29 (finite_finite @ n = $true)),
% 0.48/0.29 inference(cnf_transformation,[],[f378])).
% 0.48/0.29 thf(f1803,plain,(
% 0.48/0.29 ( ! [X1 : $tType,X0 : $tType,X2 : finite_Cartesian_vec @ X1 @ X0,X3 : finite_Cartesian_vec @ X1 @ X0,X4 : X0] : ((((minus_minus @ X1 @ (finite1433825200ec_nth @ X1 @ X0 @ X2 @ X4) @ (finite1433825200ec_nth @ X1 @ X0 @ X3 @ X4))) = ((finite1433825200ec_nth @ X1 @ X0 @ (minus_minus @ finite_Cartesian_vec @ X1 @ X0 @ X2 @ X3) @ X4))) | (minus @ X1 != $true) | (finite_finite @ X0 != $true)) )),
% 0.48/0.29 inference(cnf_transformation,[],[f1537])).
% 0.48/0.29 thf(f1826,plain,(
% 0.48/0.29 (((ring_1_of_int @ real @ m)) = ((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))))),
% 0.48/0.29 inference(cnf_transformation,[],[f3])).
% 0.48/0.29 thf(f1863,plain,(
% 0.48/0.29 (((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))) = ((ring_1_of_int @ real @ sK29)))),
% 0.48/0.29 inference(cnf_transformation,[],[f1564])).
% 0.48/0.29 thf(f1934,plain,(
% 0.48/0.29 (minus @ real = $true)),
% 0.48/0.29 inference(cnf_transformation,[],[f391])).
% 0.48/0.29 thf(f1937,plain,(
% 0.48/0.29 ( ! [X0 : $tType,X1 : int] : ((((ring_1_of_int @ X0 @ (abs_abs @ int @ X1))) = ((abs_abs @ X0 @ (ring_1_of_int @ X0 @ X1)))) | (linordered_idom @ X0 != $true)) )),
% 0.48/0.29 inference(cnf_transformation,[],[f1473])).
% 0.48/0.29 thf(f2002,plain,(
% 0.48/0.29 (abs_abs @ real = real_V1127708846m_norm @ real)),
% 0.48/0.29 inference(cnf_transformation,[],[f81])).
% 0.48/0.29 thf(f2050,plain,(
% 0.48/0.29 (real_V1229719638ebra_1 @ real = $true)),
% 0.48/0.29 inference(cnf_transformation,[],[f411])).
% 0.48/0.29 thf(f2116,plain,(
% 0.48/0.29 (linordered_idom @ real = $true)),
% 0.48/0.29 inference(cnf_transformation,[],[f1020])).
% 0.48/0.29 thf(f2261,definition,(
% 0.48/0.29 spl69_5 <=> (minus @ real = $true)),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_5])],[avatar_definition])).
% 0.48/0.29 thf(f2263,plain,(
% 0.48/0.29 (minus @ real = $true) | ~spl69_5),
% 0.48/0.29 inference(avatar_component_clause,[],[f2261])).
% 0.48/0.29 thf(f2264,plain,(
% 0.48/0.29 spl69_5),
% 0.48/0.29 inference(avatar_split_clause,[],[f1934,f2261])).
% 0.48/0.29 thf(f2356,definition,(
% 0.48/0.29 spl69_24 <=> (real_V1229719638ebra_1 @ real = $true)),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_24])],[avatar_definition])).
% 0.48/0.29 thf(f2358,plain,(
% 0.48/0.29 (real_V1229719638ebra_1 @ real = $true) | ~spl69_24),
% 0.48/0.29 inference(avatar_component_clause,[],[f2356])).
% 0.48/0.29 thf(f2359,plain,(
% 0.48/0.29 spl69_24),
% 0.48/0.29 inference(avatar_split_clause,[],[f2050,f2356])).
% 0.48/0.29 thf(f2421,definition,(
% 0.48/0.29 spl69_37 <=> (abs_abs @ real = real_V1127708846m_norm @ real)),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_37])],[avatar_definition])).
% 0.48/0.29 thf(f2423,plain,(
% 0.48/0.29 (abs_abs @ real = real_V1127708846m_norm @ real) | ~spl69_37),
% 0.48/0.29 inference(avatar_component_clause,[],[f2421])).
% 0.48/0.29 thf(f2424,plain,(
% 0.48/0.29 spl69_37),
% 0.48/0.29 inference(avatar_split_clause,[],[f2002,f2421])).
% 0.48/0.29 thf(f2473,definition,(
% 0.48/0.29 spl69_48 <=> (linordered_idom @ real = $true)),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_48])],[avatar_definition])).
% 0.48/0.29 thf(f2476,plain,(
% 0.48/0.29 spl69_48),
% 0.48/0.29 inference(avatar_split_clause,[],[f2116,f2473])).
% 0.48/0.29 thf(f2503,definition,(
% 0.48/0.29 spl69_54 <=> (finite_finite @ n = $true)),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_54])],[avatar_definition])).
% 0.48/0.29 thf(f2505,plain,(
% 0.48/0.29 (finite_finite @ n = $true) | ~spl69_54),
% 0.48/0.29 inference(avatar_component_clause,[],[f2503])).
% 0.48/0.29 thf(f2506,plain,(
% 0.48/0.29 spl69_54),
% 0.48/0.29 inference(avatar_split_clause,[],[f1782,f2503])).
% 0.48/0.29 thf(f2543,definition,(
% 0.48/0.29 spl69_62 <=> (((ring_1_of_int @ real @ (abs_abs @ int @ m))) = ((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_62])],[avatar_definition])).
% 0.48/0.29 thf(f2545,plain,(
% 0.48/0.29 (((ring_1_of_int @ real @ (abs_abs @ int @ m))) != ((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i)))) | spl69_62),
% 0.48/0.29 inference(avatar_component_clause,[],[f2543])).
% 0.48/0.29 thf(f2546,plain,(
% 0.48/0.29 ~spl69_62),
% 0.48/0.29 inference(avatar_split_clause,[],[f1720,f2543])).
% 0.48/0.29 thf(f2599,definition,(
% 0.48/0.29 spl69_73 <=> (((ring_1_of_int @ real @ m)) = ((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_73])],[avatar_definition])).
% 0.48/0.29 thf(f2601,plain,(
% 0.48/0.29 (((ring_1_of_int @ real @ m)) = ((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i)))) | ~spl69_73),
% 0.48/0.29 inference(avatar_component_clause,[],[f2599])).
% 0.48/0.29 thf(f2602,plain,(
% 0.48/0.29 spl69_73),
% 0.48/0.29 inference(avatar_split_clause,[],[f1826,f2599])).
% 0.48/0.29 thf(f2634,definition,(
% 0.48/0.29 spl69_80 <=> (((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))) = ((ring_1_of_int @ real @ sK29)))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_80])],[avatar_definition])).
% 0.48/0.29 thf(f2636,plain,(
% 0.48/0.29 (((minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))) = ((ring_1_of_int @ real @ sK29))) | ~spl69_80),
% 0.48/0.29 inference(avatar_component_clause,[],[f2634])).
% 0.48/0.29 thf(f2637,plain,(
% 0.48/0.29 spl69_80),
% 0.48/0.29 inference(avatar_split_clause,[],[f1863,f2634])).
% 0.48/0.29 thf(f2689,plain,(
% 0.48/0.29 ( ! [X1 : real] : ((((abs_abs @ real @ X1)) = ((real_V1127708846m_norm @ real @ X1)))) ) | ~spl69_37),
% 0.48/0.29 inference(argument_congruence,[],[f2423])).
% 0.48/0.29 thf(f2751,plain,(
% 0.48/0.29 ( ! [X1 : $tType,X0 : int] : ((linordered_idom @ real != $true) | ($true != real_V1229719638ebra_1 @ X1) | (((ring_1_of_int @ real @ (abs_abs @ int @ X0))) = ((real_V1127708846m_norm @ X1 @ (ring_1_of_int @ X1 @ X0))))) )),
% 0.48/0.29 inference(superposition,[],[f1688,f1937])).
% 0.48/0.29 thf(f2767,definition,(
% 0.48/0.29 spl69_99 <=> ! [X0 : $tType,X1 : int] : ((((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((ring_1_of_int @ real @ (abs_abs @ int @ X1)))) | (real_V1229719638ebra_1 @ X0 != $true))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_99])],[avatar_definition])).
% 0.48/0.29 thf(f2768,plain,(
% 0.48/0.29 ( ! [X0 : $tType,X1 : int] : ((((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ X1))) = ((ring_1_of_int @ real @ (abs_abs @ int @ X1)))) | (real_V1229719638ebra_1 @ X0 != $true)) ) | ~spl69_99),
% 0.48/0.29 inference(avatar_component_clause,[],[f2767])).
% 0.48/0.29 thf(f2770,plain,(
% 0.48/0.29 spl69_99 | ~spl69_48),
% 0.48/0.29 inference(avatar_split_clause,[],[f2751,f2473,f2767])).
% 0.48/0.29 thf(f3746,plain,(
% 0.48/0.29 ( ! [X0 : int] : ((real_V1229719638ebra_1 @ real != $true) | (((ring_1_of_int @ real @ (abs_abs @ int @ X0))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X0))))) ) | (~spl69_37 | ~spl69_99)),
% 0.48/0.29 inference(superposition,[],[f2689,f2768])).
% 0.48/0.29 thf(f3747,plain,(
% 0.48/0.29 ( ! [X0 : $tType] : ((((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((real_V1127708846m_norm @ X0 @ (ring_1_of_int @ X0 @ m)))) | (real_V1229719638ebra_1 @ X0 != $true)) ) | (spl69_62 | ~spl69_99)),
% 0.48/0.29 inference(superposition,[],[f2545,f2768])).
% 0.48/0.29 thf(f3771,definition,(
% 0.48/0.29 spl69_200 <=> ! [X0 : int] : (((ring_1_of_int @ real @ (abs_abs @ int @ X0))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X0))))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_200])],[avatar_definition])).
% 0.48/0.29 thf(f3772,plain,(
% 0.48/0.29 ( ! [X0 : int] : ((((ring_1_of_int @ real @ (abs_abs @ int @ X0))) = ((abs_abs @ real @ (ring_1_of_int @ real @ X0))))) ) | ~spl69_200),
% 0.48/0.29 inference(avatar_component_clause,[],[f3771])).
% 0.48/0.29 thf(f3792,plain,(
% 0.48/0.29 spl69_200 | ~spl69_24 | ~spl69_37 | ~spl69_99),
% 0.48/0.29 inference(avatar_split_clause,[],[f3746,f2767,f2421,f2356,f3771])).
% 0.48/0.29 thf(f3852,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((abs_abs @ real @ (ring_1_of_int @ real @ m)))) | (real_V1229719638ebra_1 @ real != $true) | (~spl69_37 | spl69_62 | ~spl69_99)),
% 0.48/0.29 inference(superposition,[],[f3747,f2689])).
% 0.48/0.29 thf(f3855,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((abs_abs @ real @ (ring_1_of_int @ real @ m)))) | (~spl69_24 | ~spl69_37 | spl69_62 | ~spl69_99)),
% 0.48/0.29 inference(forward_subsumption_resolution,[],[f3852,f2358])).
% 0.48/0.29 thf(f3858,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((abs_abs @ real @ (minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i))))) | (~spl69_24 | ~spl69_37 | spl69_62 | ~spl69_73 | ~spl69_99)),
% 0.48/0.29 inference(forward_demodulation,[],[f3855,f2601])).
% 0.48/0.29 thf(f3861,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((abs_abs @ real @ (ring_1_of_int @ real @ sK29)))) | (~spl69_24 | ~spl69_37 | spl69_62 | ~spl69_73 | ~spl69_80 | ~spl69_99)),
% 0.48/0.29 inference(forward_demodulation,[],[f3858,f2636])).
% 0.48/0.29 thf(f3863,definition,(
% 0.48/0.29 spl69_208 <=> (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) = ((abs_abs @ real @ (ring_1_of_int @ real @ sK29))))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_208])],[avatar_definition])).
% 0.48/0.29 thf(f3865,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((abs_abs @ real @ (ring_1_of_int @ real @ sK29)))) | spl69_208),
% 0.48/0.29 inference(avatar_component_clause,[],[f3863])).
% 0.48/0.29 thf(f3868,plain,(
% 0.48/0.29 ~spl69_208 | ~spl69_24 | ~spl69_37 | spl69_62 | ~spl69_73 | ~spl69_80 | ~spl69_99),
% 0.48/0.29 inference(avatar_split_clause,[],[f3861,f2767,f2634,f2599,f2543,f2421,f2356,f3863])).
% 0.48/0.29 thf(f4094,definition,(
% 0.48/0.29 spl69_224 <=> (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) = ((ring_1_of_int @ real @ (abs_abs @ int @ sK29))))),
% 0.48/0.29 introduced(definition,[new_symbols(definition,[spl69_224])],[avatar_definition])).
% 0.48/0.29 thf(f4096,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((ring_1_of_int @ real @ (abs_abs @ int @ sK29)))) | spl69_224),
% 0.48/0.29 inference(avatar_component_clause,[],[f4094])).
% 0.48/0.29 thf(f4140,plain,(
% 0.48/0.29 (((abs_abs @ real @ (finite1433825200ec_nth @ real @ n @ (minus_minus @ finite_Cartesian_vec @ real @ n @ x @ y) @ i))) != ((ring_1_of_int @ real @ (abs_abs @ int @ sK29)))) | (~spl69_200 | spl69_208)),
% 0.48/0.29 inference(forward_demodulation,[],[f3865,f3772])).
% 0.48/0.29 thf(f4141,plain,(
% 0.48/0.29 ~spl69_224 | ~spl69_200 | spl69_208),
% 0.48/0.29 inference(avatar_split_clause,[],[f4140,f3863,f3771,f4094])).
% 0.48/0.29 thf(f5003,plain,(
% 0.48/0.29 (finite_finite @ n != $true) | (minus @ real != $true) | (((abs_abs @ real @ (minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i)))) != ((ring_1_of_int @ real @ (abs_abs @ int @ sK29)))) | spl69_224),
% 0.48/0.29 inference(superposition,[],[f4096,f1803])).
% 0.48/0.29 thf(f5004,plain,(
% 0.48/0.29 (((abs_abs @ real @ (minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i)))) != ((ring_1_of_int @ real @ (abs_abs @ int @ sK29)))) | (minus @ real != $true) | (~spl69_54 | spl69_224)),
% 0.48/0.29 inference(forward_subsumption_resolution,[],[f5003,f2505])).
% 0.48/0.29 thf(f5005,plain,(
% 0.48/0.29 (((abs_abs @ real @ (minus_minus @ real @ (finite1433825200ec_nth @ real @ n @ x @ i) @ (finite1433825200ec_nth @ real @ n @ y @ i)))) != ((ring_1_of_int @ real @ (abs_abs @ int @ sK29)))) | (~spl69_5 | ~spl69_54 | spl69_224)),
% 0.48/0.29 inference(forward_subsumption_resolution,[],[f5004,f2263])).
% 0.48/0.29 thf(f5006,plain,(
% 0.48/0.29 (((abs_abs @ real @ (ring_1_of_int @ real @ sK29))) != ((ring_1_of_int @ real @ (abs_abs @ int @ sK29)))) | (~spl69_5 | ~spl69_54 | ~spl69_80 | spl69_224)),
% 0.48/0.29 inference(forward_demodulation,[],[f5005,f2636])).
% 0.48/0.29 thf(f5007,plain,(
% 0.48/0.29 $false | (~spl69_5 | ~spl69_54 | ~spl69_80 | ~spl69_200 | spl69_224)),
% 0.48/0.29 inference(forward_subsumption_resolution,[],[f5006,f3772])).
% 0.48/0.29 thf(f5008,plain,(
% 0.48/0.29 ~spl69_5 | ~spl69_54 | ~spl69_80 | ~spl69_200 | spl69_224),
% 0.48/0.29 inference(avatar_contradiction_clause,[],[f5007])).
% 0.48/0.29 cnf(s5, plain, spl69_5, inference(sat_conversion,[],[f2264])).
% 0.48/0.29 cnf(s24, plain, spl69_24, inference(sat_conversion,[],[f2359])).
% 0.48/0.29 cnf(s37, plain, spl69_37, inference(sat_conversion,[],[f2424])).
% 0.48/0.29 cnf(s47, plain, spl69_48, inference(sat_conversion,[],[f2476])).
% 0.48/0.29 cnf(s53, plain, spl69_54, inference(sat_conversion,[],[f2506])).
% 0.48/0.29 cnf(s61, plain, ~spl69_62, inference(sat_conversion,[],[f2546])).
% 0.48/0.29 cnf(s74, plain, spl69_73, inference(sat_conversion,[],[f2602])).
% 0.48/0.29 cnf(s81, plain, spl69_80, inference(sat_conversion,[],[f2637])).
% 0.48/0.29 cnf(s102, plain, ~spl69_48 | spl69_99, inference(sat_conversion,[],[f2770])).
% 0.48/0.29 cnf(s223, plain, ~spl69_24 | ~spl69_37 | ~spl69_99 | spl69_200, inference(sat_conversion,[],[f3792])).
% 0.48/0.29 cnf(s232, plain, ~spl69_24 | ~spl69_37 | spl69_62 | ~spl69_73 | ~spl69_80 | ~spl69_99 | ~spl69_208, inference(sat_conversion,[],[f3868])).
% 0.48/0.29 cnf(s268, plain, ~spl69_200 | spl69_208 | ~spl69_224, inference(sat_conversion,[],[f4141])).
% 0.48/0.29 cnf(s383, plain, ~spl69_5 | ~spl69_54 | ~spl69_80 | ~spl69_200 | spl69_224, inference(sat_conversion,[],[f5008])).
% 0.48/0.29 cnf(s430, plain, spl69_99, inference(rat,[],[s102,s47])).
% 0.48/0.29 cnf(s498, plain, ~spl69_208, inference(rat,[],[s232,s37,s430,s81,s74,s61,s24])).
% 0.48/0.29 cnf(s500, plain, spl69_200, inference(rat,[],[s223,s37,s430,s24])).
% 0.48/0.29 cnf(s511, plain, ~spl69_224, inference(rat,[],[s268,s498,s500])).
% 0.48/0.29 cnf(s524, plain, ~spl69_5, inference(rat,[],[s383,s511,s53,s81,s500])).
% 0.48/0.29 cnf(s544, plain, $false, inference(rat,[],[s5,s524])).
% 0.48/0.29 thf(f5009,plain,(
% 0.48/0.29 $false),
% 0.48/0.29 inference(avatar_sat_refutation,[],[s544])).
% 0.48/0.29 % SZS output end Proof for theBenchmark
% 0.48/0.29 % (608691)------------------------------
% 0.48/0.29 % (608691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.29 % (608691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.29 % (608691)CaDiCaL version: 2.1.3
% 0.48/0.29 % (608691)Termination reason: Refutation
% 0.48/0.29 % (608691)Time elapsed: 0.100 s
% 0.48/0.29 % (608691)Peak memory usage: 16 MB
% 0.48/0.29 % (608691)Instructions burned: 338 (million)
% 0.48/0.29 % (608683)Success in time 0.133 s
% 0.48/0.29 % Vampire exiting
%------------------------------------------------------------------------------