%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG006-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:20:03 AM UTC 2026
% Result : Unsatisfiable 1.68s 0.51s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : difference(X0,difference(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_1) ).
fof(f2,axiom,
! [X0,X1] : difference(X0,difference(X0,X1)) = difference(X1,difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_2) ).
fof(f3,axiom,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_3) ).
fof(f4,negated_conjecture,
difference(difference(a,c),b) != difference(difference(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_difference_3_simplified) ).
fof(f5,plain,
! [X0,X1] : difference(X1,X0) = difference(difference(X1,X0),X0),
inference(superposition,[],[f1,f1]) ).
fof(f10,plain,
! [X0,X1] : difference(X1,difference(X1,difference(X0,X1))) = difference(difference(X0,X1),difference(X0,X1)),
inference(superposition,[],[f2,f5]) ).
fof(f15,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(X1,X1),
inference(forward_demodulation,[],[f10,f1]) ).
fof(f19,plain,
! [X0,X1] : difference(difference(X1,X0),difference(X1,X0)) = difference(difference(X0,difference(X0,X1)),difference(X0,difference(X0,X1))),
inference(superposition,[],[f15,f2]) ).
fof(f22,plain,
! [X0,X1] : difference(X0,X0) = difference(difference(X0,X0),difference(X1,X0)),
inference(superposition,[],[f5,f15]) ).
fof(f24,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(difference(X1,X0),difference(X1,X0)),
inference(forward_demodulation,[],[f19,f15]) ).
fof(f26,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(X0,X0),
inference(forward_demodulation,[],[f24,f15]) ).
fof(f84,plain,
! [X0,X1] : difference(X0,X0) = difference(X1,X1),
inference(superposition,[],[f26,f15]) ).
fof(f111,plain,
! [X0,X1] : difference(X1,difference(X0,X0)) = X1,
inference(superposition,[],[f1,f84]) ).
fof(f112,plain,
! [X0,X1] : difference(X0,X0) = difference(difference(X0,X0),X1),
inference(superposition,[],[f5,f84]) ).
fof(f189,plain,
! [X2,X0,X1] : difference(difference(X0,X0),difference(X2,X1)) = difference(difference(X1,X2),X1),
inference(superposition,[],[f3,f84]) ).
fof(f190,plain,
! [X2,X0,X1] : difference(difference(X0,X1),difference(X2,X1)) = difference(difference(difference(X0,X1),X2),X1),
inference(superposition,[],[f3,f5]) ).
fof(f213,plain,
! [X0,X1] : difference(X0,X0) = difference(difference(X0,X1),X0),
inference(superposition,[],[f3,f22]) ).
fof(f269,plain,
! [X2,X0,X1] : difference(difference(X0,X2),X1) = difference(difference(difference(X0,X1),X2),X1),
inference(forward_demodulation,[],[f190,f3]) ).
fof(f270,plain,
! [X2,X0,X1] : difference(X0,X0) = difference(difference(X1,X2),X1),
inference(forward_demodulation,[],[f189,f112]) ).
fof(f393,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X0)) = difference(X0,difference(X0,difference(X0,X1))),
inference(superposition,[],[f2,f213]) ).
fof(f395,plain,
! [X2,X0,X1] : difference(difference(X1,X0),difference(X0,X0)) = difference(difference(X1,difference(X0,X2)),X0),
inference(superposition,[],[f3,f213]) ).
fof(f403,plain,
! [X2,X0,X1] : difference(X1,X0) = difference(difference(X1,difference(X0,X2)),X0),
inference(forward_demodulation,[],[f395,f111]) ).
fof(f405,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X0,difference(X0,X1))),
inference(forward_demodulation,[],[f393,f111]) ).
fof(f1196,plain,
! [X2,X3,X0,X1] : difference(X2,X2) = difference(difference(X0,X1),difference(X0,difference(X1,X3))),
inference(superposition,[],[f270,f403]) ).
fof(f1262,plain,
! [X0,X1] : difference(X1,X0) = difference(X1,difference(X0,difference(X0,X1))),
inference(superposition,[],[f405,f2]) ).
fof(f4999,plain,
! [X2,X3,X0,X1] : difference(X1,X1) = difference(X0,difference(X0,difference(difference(X2,X0),X3))),
inference(superposition,[],[f1196,f1]) ).
fof(f10101,plain,
! [X2,X3,X0,X1] : difference(difference(difference(X1,X2),X3),X2) = difference(difference(difference(X1,X2),X3),difference(X0,X0)),
inference(superposition,[],[f1262,f4999]) ).
fof(f10168,plain,
! [X2,X3,X1] : difference(difference(X1,X2),X3) = difference(difference(difference(X1,X2),X3),X2),
inference(forward_demodulation,[],[f10101,f111]) ).
fof(f14382,plain,
! [X2,X0,X1] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),X1),
inference(superposition,[],[f10168,f269]) ).
fof(f15056,plain,
difference(difference(a,c),b) != difference(difference(a,c),b),
inference(superposition,[],[f4,f14382]) ).
fof(f15126,plain,
$false,
inference(trivial_inequality_removal,[],[f15056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG006-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:22:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 1.68/0.51 % (642377)Will run a generic schedule for satisfiability detection.
% 1.68/0.51 % (642385)dis+10_1_sil=32000:sp=arity:random_seed=2359043006:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.68/0.51 % (642383)% WARNING: option uhcvi not known.
% 1.68/0.51 % (642382)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1969158872_2999 on theBenchmark for (2999ds/0Mi)
% 1.68/0.51 % (642384)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1090859147:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.68/0.51 % (642383)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=511588551:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.68/0.51 % (642386)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3458520152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.68/0.51 % (642387)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2917552673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.68/0.51 % (642388)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2418325875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.68/0.51 % TRYING [1]
% 1.68/0.51 % TRYING [2]
% 1.68/0.51 % TRYING [3]
% 1.68/0.51 % TRYING [4]
% 1.68/0.51 % TRYING [5]
% 1.68/0.51 % (642385)Instruction limit reached!
% 1.68/0.51 % (642385)------------------------------
% 1.68/0.51 % (642385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642385)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642385)Termination reason: Instruction limit
% 1.68/0.51 % (642385)Termination phase: Saturation
% 1.68/0.51 % (642385)Time elapsed: 0.029 s
% 1.68/0.51 % (642385)Peak memory usage: 12 MB
% 1.68/0.51 % (642385)Instructions burned: 104 (million)
% 1.68/0.51 % (642396)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2857503146:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.68/0.51 % TRYING [1]
% 1.68/0.51 % TRYING [2]
% 1.68/0.51 % TRYING [3]
% 1.68/0.51 % TRYING [4]
% 1.68/0.51 % TRYING [5]
% 1.68/0.51 % TRYING [6]
% 1.68/0.51 % (642386)Instruction limit reached!
% 1.68/0.51 % (642386)------------------------------
% 1.68/0.51 % (642386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642386)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642386)Termination reason: Instruction limit
% 1.68/0.51 % (642386)Termination phase: Saturation
% 1.68/0.51 % (642386)Time elapsed: 0.065 s
% 1.68/0.51 % (642386)Peak memory usage: 12 MB
% 1.68/0.51 % (642386)Instructions burned: 116 (million)
% 1.68/0.51 % TRYING [6]
% 1.68/0.51 % (642387)Instruction limit reached!
% 1.68/0.51 % (642387)------------------------------
% 1.68/0.51 % (642387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642387)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642387)Termination reason: Instruction limit
% 1.68/0.51 % (642387)Termination phase: Saturation
% 1.68/0.51 % (642387)Time elapsed: 0.077 s
% 1.68/0.51 % (642387)Peak memory usage: 12 MB
% 1.68/0.51 % (642387)Instructions burned: 133 (million)
% 1.68/0.51 % (642398)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2006964202:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.68/0.51 % (642388)Instruction limit reached!
% 1.68/0.51 % (642388)------------------------------
% 1.68/0.51 % (642388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642388)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642388)Termination reason: Instruction limit
% 1.68/0.51 % (642388)Termination phase: Saturation
% 1.68/0.51 % (642388)Time elapsed: 0.095 s
% 1.68/0.51 % (642388)Peak memory usage: 12 MB
% 1.68/0.51 % (642388)Instructions burned: 159 (million)
% 1.68/0.51 % (642399)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=624817496:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.68/0.51 % (642401)ott-21_1_sil=16000:fs=off:random_seed=7828529:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.68/0.51 % (642398)Instruction limit reached!
% 1.68/0.51 % (642398)------------------------------
% 1.68/0.51 % (642398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642398)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642398)Termination reason: Instruction limit
% 1.68/0.51 % (642398)Termination phase: Saturation
% 1.68/0.51 % (642398)Time elapsed: 0.078 s
% 1.68/0.51 % (642398)Peak memory usage: 13 MB
% 1.68/0.51 % (642398)Instructions burned: 131 (million)
% 1.68/0.51 % (642404)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1169508443:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.68/0.51 % (642401)Instruction limit reached!
% 1.68/0.51 % (642401)------------------------------
% 1.68/0.51 % (642401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642401)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642401)Termination reason: Instruction limit
% 1.68/0.51 % (642401)Termination phase: Saturation
% 1.68/0.51 % (642401)Time elapsed: 0.076 s
% 1.68/0.51 % (642401)Peak memory usage: 12 MB
% 1.68/0.51 % (642401)Instructions burned: 182 (million)
% 1.68/0.51 % TRYING [7]
% 1.68/0.51 % TRYING [7]
% 1.68/0.51 % (642406)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3891393286:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.68/0.51 % TRYING [1]
% 1.68/0.51 % TRYING [2]
% 1.68/0.51 % TRYING [3]
% 1.68/0.51 % TRYING [4]
% 1.68/0.51 % (642396)Instruction limit reached!
% 1.68/0.51 % (642396)------------------------------
% 1.68/0.51 % (642396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642396)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642396)Termination reason: Instruction limit
% 1.68/0.51 % (642396)Termination phase: Finite model building SAT solving
% 1.68/0.51 % (642396)Time elapsed: 0.196 s
% 1.68/0.51 % (642396)Peak memory usage: 21 MB
% 1.68/0.51 % (642396)Instructions burned: 715 (million)
% 1.68/0.51 % (642384) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-642377-642384"...
% 1.68/0.51 % TRYING [5]
% 1.68/0.51 % (642384)...printing done.
% 1.68/0.51 % (642384)Refutation found. Thanks to Tanya!
% 1.68/0.51 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.51 % (642384)------------------------------
% 1.68/0.51 % (642384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.51 % (642384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.51 % (642384)CaDiCaL version: 2.1.3
% 1.68/0.51 % (642384)Termination reason: Refutation
% 1.68/0.51 % (642384)Time elapsed: 0.239 s
% 1.68/0.51 % (642384)Peak memory usage: 14 MB
% 1.68/0.51 % (642384)Instructions burned: 479 (million)
% 1.68/0.51 % (642377)Success in time 0.283 s
% 1.68/0.51 % Vampire exiting
%------------------------------------------------------------------------------