%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 11:48:47 AM UTC 2026
% Result : Unsatisfiable 1.91s 0.73s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f6,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,plain,
! [X2,X3,X0,X1] : f(f(X0,X3),f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : f(X0,X2) = f(X0,f(f(X0,X2),f(f(f(X0,X2),f(f(f(X1,X0),f(X1,X0)),f(X1,X0))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : f(f(X1,X0),f(X0,X2)) = f(f(X1,X0),f(f(f(X1,X0),f(X0,X2)),X0)),
inference(superposition,[],[f10,f1]) ).
fof(f30,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X0),f(X0,X0)) = X0,
inference(superposition,[],[f16,f1]) ).
fof(f48,plain,
! [X0] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[],[f30,f1]) ).
fof(f61,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(X0,f(f(X0,X0),X0)),X0))) = X0,
inference(superposition,[],[f1,f48]) ).
fof(f89,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f10,f61]) ).
fof(f104,plain,
! [X2,X3,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,X0)) = X0,
inference(superposition,[],[f89,f1]) ).
fof(f105,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(superposition,[],[f89,f61]) ).
fof(f135,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X0,X0),X1),X0),
inference(superposition,[],[f105,f48]) ).
fof(f148,plain,
! [X2,X0] : f(X0,f(f(X0,X0),X2)) = f(X0,f(f(X0,f(f(X0,X0),X2)),f(X0,X0))),
inference(superposition,[],[f16,f105]) ).
fof(f158,plain,
! [X2,X0] : f(X0,X0) = f(X0,f(f(X0,X0),X2)),
inference(forward_demodulation,[],[f148,f105]) ).
fof(f168,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[],[f16,f135]) ).
fof(f190,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(forward_demodulation,[],[f168,f105]) ).
fof(f196,plain,
! [X0,X1] : f(X0,X1) = f(f(f(X0,X1),f(X0,X1)),X0),
inference(superposition,[],[f190,f61]) ).
fof(f342,plain,
! [X0,X1] : f(f(X0,X1),f(X1,X1)) = X1,
inference(superposition,[],[f104,f61]) ).
fof(f447,plain,
! [X0,X1] : f(X1,X0) = f(X0,f(f(X1,X0),f(X1,X0))),
inference(superposition,[],[f105,f342]) ).
fof(f449,plain,
! [X0,X1] : f(f(X0,X0),f(X1,X0)) = X0,
inference(superposition,[],[f196,f342]) ).
fof(f469,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(X1,f(X0,X0))),
inference(superposition,[],[f449,f342]) ).
fof(f4692,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[],[f1,f9]) ).
fof(f5392,plain,
! [X0,X1] : f(f(X0,X1),f(X1,f(f(X0,X0),X0))) = X1,
inference(superposition,[],[f4692,f4692]) ).
fof(f5586,plain,
! [X0,X1] : f(f(f(X0,X0),X1),f(X1,f(X0,f(X0,X0)))) = X1,
inference(superposition,[],[f5392,f48]) ).
fof(f5760,plain,
! [X0,X1] : f(f(f(X0,X0),f(X0,X0)),X1) = f(f(f(X0,X0),f(X0,X0)),f(f(f(f(X0,X0),f(X0,X0)),X1),f(X0,f(X0,X0)))),
inference(superposition,[],[f5586,f158]) ).
fof(f5933,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,f(X0,X0)))),
inference(forward_demodulation,[],[f5760,f105]) ).
fof(f6014,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,f(X0,f(X0,X0)))),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(superposition,[],[f1,f5933]) ).
fof(f6098,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,X0)),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f6014,f469]) ).
fof(f6100,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f6098,f342]) ).
fof(f6177,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(X1,X1),X1)),
inference(superposition,[],[f89,f6100]) ).
fof(f6364,plain,
! [X0,X1] : f(f(X0,X0),f(f(X1,X1),X1)) = X0,
inference(superposition,[],[f6177,f48]) ).
fof(f6373,plain,
! [X0,X1] : f(X1,X1) = f(X1,f(X0,f(X0,X0))),
inference(superposition,[],[f6177,f48]) ).
fof(f6767,plain,
! [X0,X1] : f(f(X1,X1),f(X0,f(X0,X0))) = X1,
inference(superposition,[],[f6364,f48]) ).
fof(f7185,plain,
! [X0,X1] : f(X0,X0) = f(f(X1,f(X1,X1)),f(f(X0,X0),f(X0,X0))),
inference(superposition,[],[f447,f6373]) ).
fof(f7278,plain,
! [X0,X1] : f(X0,X0) = f(f(X1,f(X1,X1)),X0),
inference(forward_demodulation,[],[f7185,f105]) ).
fof(f8440,plain,
! [X0,X1] : f(X1,f(X1,X1)) = f(f(f(X0,X0),f(X1,f(X1,X1))),f(f(X0,f(X0,X0)),f(X0,f(X0,X0)))),
inference(superposition,[],[f5586,f7278]) ).
fof(f8441,plain,
! [X0,X1] : f(X1,f(X1,X1)) = f(X0,f(f(X0,f(X0,X0)),f(X0,f(X0,X0)))),
inference(forward_demodulation,[],[f8440,f6767]) ).
fof(f8482,plain,
! [X0,X1] : f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
inference(forward_demodulation,[],[f8441,f89]) ).
fof(f9159,plain,
! [X0] : f(x0,f(x0,x0)) != f(X0,f(X0,X0)),
inference(superposition,[],[f6,f8482]) ).
fof(f9287,plain,
$false,
inference(forward_subsumption_resolution,[],[f9159,f8482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:16:23 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.91/0.73 % (2492845)Will run a generic schedule for satisfiability detection.
% 1.91/0.73 % (2492854)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3868819917:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.91/0.73 % (2492850)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=936167357_2999 on theBenchmark for (2999ds/0Mi)
% 1.91/0.73 % (2492852)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3191541452:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.91/0.73 % (2492853)dis+10_1_sil=32000:sp=arity:random_seed=2418029980:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.91/0.73 % (2492855)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2184027695:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.73 % (2492856)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=908319586:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.91/0.73 % (2492851)% WARNING: option uhcvi not known.
% 1.91/0.73 % TRYING [1]
% 1.91/0.73 % TRYING [2]
% 1.91/0.73 % TRYING [3]
% 1.91/0.73 % (2492851)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1366667265:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.91/0.73 % TRYING [4]
% 1.91/0.73 % (2492854)Instruction limit reached!
% 1.91/0.73 % (2492854)------------------------------
% 1.91/0.73 % (2492854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492854)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492854)Termination reason: Instruction limit
% 1.91/0.73 % (2492854)Termination phase: Saturation
% 1.91/0.73 % (2492854)Time elapsed: 0.038 s
% 1.91/0.73 % (2492854)Peak memory usage: 13 MB
% 1.91/0.73 % (2492854)Instructions burned: 119 (million)
% 1.91/0.73 % (2492864)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2546701801:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.91/0.73 % TRYING [1]
% 1.91/0.73 % TRYING [2]
% 1.91/0.73 % TRYING [3]
% 1.91/0.73 % TRYING [4]
% 1.91/0.73 % (2492853)Instruction limit reached!
% 1.91/0.73 % (2492853)------------------------------
% 1.91/0.73 % (2492853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492853)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492853)Termination reason: Instruction limit
% 1.91/0.73 % (2492853)Termination phase: Saturation
% 1.91/0.73 % (2492853)Time elapsed: 0.059 s
% 1.91/0.73 % (2492853)Peak memory usage: 11 MB
% 1.91/0.73 % (2492853)Instructions burned: 105 (million)
% 1.91/0.73 % (2492866)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4106028380:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.73 % (2492855)Instruction limit reached!
% 1.91/0.73 % (2492855)------------------------------
% 1.91/0.73 % (2492855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492855)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492855)Termination reason: Instruction limit
% 1.91/0.73 % (2492855)Termination phase: Saturation
% 1.91/0.73 % (2492855)Time elapsed: 0.081 s
% 1.91/0.73 % (2492855)Peak memory usage: 13 MB
% 1.91/0.73 % (2492855)Instructions burned: 131 (million)
% 1.91/0.73 % (2492856)Instruction limit reached!
% 1.91/0.73 % (2492856)------------------------------
% 1.91/0.73 % (2492856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492856)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492856)Termination reason: Instruction limit
% 1.91/0.73 % (2492856)Termination phase: Saturation
% 1.91/0.73 % (2492856)Time elapsed: 0.098 s
% 1.91/0.73 % (2492856)Peak memory usage: 12 MB
% 1.91/0.73 % (2492856)Instructions burned: 161 (million)
% 1.91/0.73 % (2492868)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=3994305955:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.91/0.73 % (2492869)ott-21_1_sil=16000:fs=off:random_seed=73984633:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.91/0.73 % (2492866)Instruction limit reached!
% 1.91/0.73 % (2492866)------------------------------
% 1.91/0.73 % (2492866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492866)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492866)Termination reason: Instruction limit
% 1.91/0.73 % (2492866)Termination phase: Saturation
% 1.91/0.73 % (2492866)Time elapsed: 0.075 s
% 1.91/0.73 % (2492866)Peak memory usage: 12 MB
% 1.91/0.73 % (2492866)Instructions burned: 133 (million)
% 1.91/0.73 % (2492872)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2268761965:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.91/0.73 % TRYING [5]
% 1.91/0.73 % (2492869)Instruction limit reached!
% 1.91/0.73 % (2492869)------------------------------
% 1.91/0.73 % (2492869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492869)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492869)Termination reason: Instruction limit
% 1.91/0.73 % (2492869)Termination phase: Saturation
% 1.91/0.73 % (2492869)Time elapsed: 0.101 s
% 1.91/0.73 % (2492869)Peak memory usage: 13 MB
% 1.91/0.73 % (2492869)Instructions burned: 180 (million)
% 1.91/0.73 % (2492874)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1745632561:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.91/0.73 % TRYING [1]
% 1.91/0.73 % TRYING [2]
% 1.91/0.73 % TRYING [3]
% 1.91/0.73 % TRYING [4]
% 1.91/0.73 % (2492864)Instruction limit reached!
% 1.91/0.73 % (2492864)------------------------------
% 1.91/0.73 % (2492864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492864)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492864)Termination reason: Instruction limit
% 1.91/0.73 % (2492864)Termination phase: Finite model building SAT solving
% 1.91/0.73 % (2492864)Time elapsed: 0.233 s
% 1.91/0.73 % (2492864)Peak memory usage: 12 MB
% 1.91/0.73 % (2492864)Instructions burned: 716 (million)
% 1.91/0.73 % (2492852) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2492845-2492852"...
% 1.91/0.73 % (2492852)...printing done.
% 1.91/0.73 % (2492852)Refutation found. Thanks to Tanya!
% 1.91/0.73 % SZS status Unsatisfiable for theBenchmark
% 1.91/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.73 % (2492852)------------------------------
% 1.91/0.73 % (2492852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.73 % (2492852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.73 % (2492852)CaDiCaL version: 2.1.3
% 1.91/0.73 % (2492852)Termination reason: Refutation
% 1.91/0.73 % (2492852)Time elapsed: 0.280 s
% 1.91/0.73 % (2492852)Peak memory usage: 15 MB
% 1.91/0.73 % (2492852)Instructions burned: 547 (million)
% 1.91/0.73 % (2492845)Success in time 0.316 s
% 1.91/0.73 % Vampire exiting
%------------------------------------------------------------------------------