%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 : Tue Sep 29 12:17:47 PM UTC 2026
% Result : Unsatisfiable 4.15s 1.05s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 11 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',reflexivity) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',transitivity) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity_of_addition) ).
fof(f7,axiom,
! [X2,X0,X1] : equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity1) ).
fof(f8,axiom,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity2) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X2,subtract(X0,X3))
| equalish(X2,subtract(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',subtract_substitution1) ).
fof(f13,negated_conjecture,
~ equalish(add(a,subtract(b,c)),add(subtract(a,c),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f14,plain,
! [X0] : ~ equalish(X0,X0),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| equalish(X1,X2)
| equalish(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f16,plain,
! [X0,X1] : ~ equalish(add(X0,X1),add(X1,X0)),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f20,plain,
! [X2,X0,X1] : ~ equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f21,plain,
! [X2,X0,X1] : ~ equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X2,subtract(X1,X3))
| equalish(X2,subtract(X0,X3))
| equalish(X0,X1) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f26,plain,
equalish(add(a,subtract(b,c)),add(subtract(a,c),b)),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f27,plain,
! [X0] :
( equalish(X0,add(subtract(a,c),b))
| equalish(add(a,subtract(b,c)),X0) ),
inference(resolution,[],[f15,f26]) ).
fof(f32,plain,
! [X0,X1] :
( equalish(X0,add(subtract(a,c),b))
| equalish(X1,X0)
| equalish(add(a,subtract(b,c)),X1) ),
inference(resolution,[],[f27,f15]) ).
fof(f140,plain,
! [X0] :
( equalish(X0,add(subtract(a,c),b))
| equalish(add(subtract(b,c),a),X0) ),
inference(resolution,[],[f32,f16]) ).
fof(f149,plain,
! [X0,X1] :
( equalish(X0,add(subtract(a,c),b))
| equalish(X1,X0)
| equalish(add(subtract(b,c),a),X1) ),
inference(resolution,[],[f140,f15]) ).
fof(f388,plain,
! [X0] :
( equalish(X0,subtract(add(a,b),c))
| equalish(add(subtract(b,c),a),X0) ),
inference(resolution,[],[f149,f21]) ).
fof(f499,plain,
equalish(add(subtract(b,c),a),subtract(add(a,b),c)),
inference(resolution,[],[f388,f14]) ).
fof(f663,plain,
! [X0] :
( equalish(add(subtract(b,c),a),subtract(X0,c))
| equalish(X0,add(a,b)) ),
inference(resolution,[],[f24,f499]) ).
fof(f722,plain,
equalish(add(b,a),add(a,b)),
inference(resolution,[],[f663,f20]) ).
fof(f726,plain,
$false,
inference(forward_subsumption_resolution,[],[f722,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 18:34:35 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.15/1.04 % (2872444)Will run a generic schedule for satisfiability detection.
% 4.15/1.04 % (2872458)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=992893112_2999 on theBenchmark for (2999ds/0Mi)
% 4.15/1.04 % TRYING [1]
% 4.15/1.04 % TRYING [2]
% 4.15/1.04 % TRYING [3]
% 4.15/1.04 % (2872459)% WARNING: option uhcvi not known.
% 4.15/1.04 % (2872459)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2187705594:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.15/1.04 % (2872461)dis+10_1_sil=32000:sp=arity:random_seed=449014546:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.15/1.04 % (2872460)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3572874016:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.15/1.04 % (2872463)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3691618335:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.15/1.04 % (2872462)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3000002955:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.15/1.04 % (2872465)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1236414638:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.15/1.04 % TRYING [4]
% 4.15/1.04 % (2872461)Instruction limit reached!
% 4.15/1.04 % (2872461)------------------------------
% 4.15/1.04 % (2872461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872461)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872461)Termination reason: Instruction limit
% 4.15/1.04 % (2872461)Termination phase: Saturation
% 4.15/1.04 % (2872461)Time elapsed: 0.060 s
% 4.15/1.04 % (2872461)Peak memory usage: 12 MB
% 4.15/1.04 % (2872461)Instructions burned: 104 (million)
% 4.15/1.04 % (2872462)Instruction limit reached!
% 4.15/1.04 % (2872462)------------------------------
% 4.15/1.04 % (2872462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872462)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872462)Termination reason: Instruction limit
% 4.15/1.04 % (2872462)Termination phase: Saturation
% 4.15/1.04 % (2872462)Time elapsed: 0.076 s
% 4.15/1.04 % (2872462)Peak memory usage: 12 MB
% 4.15/1.04 % (2872462)Instructions burned: 117 (million)
% 4.15/1.04 % (2872507)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3744564831:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.15/1.04 % TRYING [1]
% 4.15/1.04 % TRYING [2]
% 4.15/1.04 % TRYING [3]
% 4.15/1.04 % (2872463)Instruction limit reached!
% 4.15/1.04 % (2872463)------------------------------
% 4.15/1.04 % (2872463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872463)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872463)Termination reason: Instruction limit
% 4.15/1.04 % (2872463)Termination phase: Saturation
% 4.15/1.04 % (2872463)Time elapsed: 0.097 s
% 4.15/1.04 % (2872463)Peak memory usage: 12 MB
% 4.15/1.04 % (2872463)Instructions burned: 131 (million)
% 4.15/1.04 % (2872508)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2916210822:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.15/1.04 % TRYING [4]
% 4.15/1.04 % (2872465)Instruction limit reached!
% 4.15/1.04 % (2872465)------------------------------
% 4.15/1.04 % (2872465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872465)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872465)Termination reason: Instruction limit
% 4.15/1.04 % (2872465)Termination phase: Saturation
% 4.15/1.04 % (2872465)Time elapsed: 0.104 s
% 4.15/1.04 % (2872465)Peak memory usage: 13 MB
% 4.15/1.04 % (2872465)Instructions burned: 159 (million)
% 4.15/1.04 % (2872515)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3002594169:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.15/1.04 % TRYING [5]
% 4.15/1.04 % (2872517)ott-21_1_sil=16000:fs=off:random_seed=2414767186:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.15/1.04 % (2872508)Instruction limit reached!
% 4.15/1.04 % (2872508)------------------------------
% 4.15/1.04 % (2872508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872508)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872508)Termination reason: Instruction limit
% 4.15/1.04 % (2872508)Termination phase: Saturation
% 4.15/1.04 % (2872508)Time elapsed: 0.094 s
% 4.15/1.04 % (2872508)Peak memory usage: 13 MB
% 4.15/1.04 % (2872508)Instructions burned: 132 (million)
% 4.15/1.04 % (2872535)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3423674374:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.15/1.04 % (2872517)Instruction limit reached!
% 4.15/1.04 % (2872517)------------------------------
% 4.15/1.04 % (2872517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872517)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872517)Termination reason: Instruction limit
% 4.15/1.04 % (2872517)Termination phase: Saturation
% 4.15/1.04 % (2872517)Time elapsed: 0.103 s
% 4.15/1.04 % (2872517)Peak memory usage: 11 MB
% 4.15/1.04 % (2872517)Instructions burned: 181 (million)
% 4.15/1.04 % (2872542)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2406155690:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.15/1.04 % TRYING [1]
% 4.15/1.04 % TRYING [2]
% 4.15/1.04 % TRYING [3]
% 4.15/1.04 % TRYING [4]
% 4.15/1.04 % TRYING [5]
% 4.15/1.04 % TRYING [5]
% 4.15/1.04 % (2872535)Instruction limit reached!
% 4.15/1.04 % (2872535)------------------------------
% 4.15/1.04 % (2872535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872535)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872535)Termination reason: Instruction limit
% 4.15/1.04 % (2872535)Termination phase: Saturation
% 4.15/1.04 % (2872535)Time elapsed: 0.296 s
% 4.15/1.04 % (2872535)Peak memory usage: 13 MB
% 4.15/1.04 % (2872535)Instructions burned: 478 (million)
% 4.15/1.04 % (2872507)Instruction limit reached!
% 4.15/1.04 % (2872507)------------------------------
% 4.15/1.04 % (2872507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872507)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872507)Termination reason: Instruction limit
% 4.15/1.04 % (2872507)Termination phase: Finite model building SAT solving
% 4.15/1.04 % (2872507)Time elapsed: 0.432 s
% 4.15/1.04 % (2872507)Peak memory usage: 18 MB
% 4.15/1.04 % (2872507)Instructions burned: 716 (million)
% 4.15/1.04 % (2872515)Instruction limit reached!
% 4.15/1.04 % (2872515)------------------------------
% 4.15/1.04 % (2872515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.04 % (2872515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.04 % (2872515)CaDiCaL version: 2.1.3
% 4.15/1.04 % (2872515)Termination reason: Instruction limit
% 4.15/1.04 % (2872515)Termination phase: Saturation
% 4.15/1.04 % (2872515)Time elapsed: 0.395 s
% 4.15/1.04 % (2872515)Peak memory usage: 18 MB
% 4.15/1.04 % (2872515)Instructions burned: 685 (million)
% 4.15/1.04 % (2872559)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=808516873:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 4.15/1.04 % (2872560)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4191946702:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.15/1.04 % (2872561)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3304442434:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.15/1.05 % (2872561) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2872444-2872561"...
% 4.15/1.05 % (2872561)...printing done.
% 4.15/1.05 % (2872561)Refutation found. Thanks to Tanya!
% 4.15/1.05 % SZS status Unsatisfiable for theBenchmark
% 4.15/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.05 % (2872561)------------------------------
% 4.15/1.05 % (2872561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.15/1.05 % (2872561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.05 % (2872561)CaDiCaL version: 2.1.3
% 4.15/1.05 % (2872561)Termination reason: Refutation
% 4.15/1.05 % (2872561)Time elapsed: 0.035 s
% 4.15/1.05 % (2872561)Peak memory usage: 12 MB
% 4.15/1.05 % (2872561)Instructions burned: 45 (million)
% 4.15/1.05 % (2872444)Success in time 0.612 s
% 4.15/1.05 % Vampire exiting
%------------------------------------------------------------------------------