%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP166-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 10:17:00 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.56s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
fof(f19,axiom,
least_upper_bound(b,identity) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat2a_2) ).
fof(f20,plain,
b = least_upper_bound(b,identity),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
least_upper_bound(a,multiply(a,b)) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lat2a) ).
fof(f22,plain,
multiply(a,b) != least_upper_bound(a,multiply(a,b)),
inference(reorient_equations,[],[f21]) ).
fof(f30,plain,
b = least_upper_bound(identity,b),
inference(superposition,[],[f20,f6]) ).
fof(f44,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f47,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f176,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f47,f3]) ).
fof(f178,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f47,f47]) ).
fof(f185,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f176,f178]) ).
fof(f215,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(superposition,[],[f13,f185]) ).
fof(f229,plain,
multiply(a,b) != multiply(a,least_upper_bound(identity,b)),
inference(backward_demodulation,[],[f22,f215]) ).
fof(f230,plain,
multiply(a,b) != multiply(a,b),
inference(forward_demodulation,[],[f229,f30]) ).
fof(f231,plain,
$false,
inference(trivial_inequality_removal,[],[f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP166-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:34:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.15/0.56 % (2149734)Will run a generic schedule for satisfiability detection.
% 0.15/0.56 % (2149742)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=581218667_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.56 % TRYING [1]
% 0.15/0.56 % TRYING [2]
% 0.15/0.56 % TRYING [3]
% 0.15/0.56 % (2149743)% WARNING: option uhcvi not known.
% 0.15/0.56 % TRYING [4]
% 0.15/0.56 % (2149744)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1454245233:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.56 % (2149743)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=905580162:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.56 % (2149745)dis+10_1_sil=32000:sp=arity:random_seed=736622663:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.56 % (2149746)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2195761045:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.56 % (2149747)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=102962227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.56 % (2149748)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2341613308:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.56 % TRYING [5]
% 0.15/0.56 % (2149745)Instruction limit reached!
% 0.15/0.56 % (2149745)------------------------------
% 0.15/0.56 % (2149745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.56 % (2149745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.56 % (2149745)CaDiCaL version: 2.1.3
% 0.15/0.56 % (2149745)Termination reason: Instruction limit
% 0.15/0.56 % (2149745)Termination phase: Saturation
% 0.15/0.56 % (2149745)Time elapsed: 0.059 s
% 0.15/0.56 % (2149745)Peak memory usage: 12 MB
% 0.15/0.56 % (2149745)Instructions burned: 104 (million)
% 0.15/0.56 % (2149746)Instruction limit reached!
% 0.15/0.56 % (2149746)------------------------------
% 0.15/0.56 % (2149746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.56 % (2149746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.56 % (2149746)CaDiCaL version: 2.1.3
% 0.15/0.56 % (2149746)Termination reason: Instruction limit
% 0.15/0.56 % (2149746)Termination phase: Saturation
% 0.15/0.56 % (2149746)Time elapsed: 0.070 s
% 0.15/0.56 % (2149746)Peak memory usage: 12 MB
% 0.15/0.56 % (2149746)Instructions burned: 117 (million)
% 0.15/0.56 % TRYING [6]
% 0.15/0.56 % (2149774)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=605319545:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/0.56 % (2149747)Instruction limit reached!
% 0.15/0.56 % (2149747)------------------------------
% 0.15/0.56 % (2149747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.56 % (2149747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.56 % (2149747)CaDiCaL version: 2.1.3
% 0.15/0.56 % (2149747)Termination reason: Instruction limit
% 0.15/0.56 % (2149747)Termination phase: Saturation
% 0.15/0.56 % (2149747)Time elapsed: 0.081 s
% 0.15/0.56 % (2149747)Peak memory usage: 13 MB
% 0.15/0.56 % (2149747)Instructions burned: 132 (million)
% 0.15/0.56 % TRYING [1]
% 0.15/0.56 % TRYING [2]
% 0.15/0.56 % TRYING [3]
% 0.15/0.56 % (2149779)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=401383605:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.15/0.56 % TRYING [4]
% 0.15/0.56 % (2149748)Instruction limit reached!
% 0.15/0.56 % (2149748)------------------------------
% 0.15/0.56 % (2149748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.56 % (2149748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.56 % (2149748)CaDiCaL version: 2.1.3
% 0.15/0.56 % (2149748)Termination reason: Instruction limit
% 0.15/0.56 % (2149748)Termination phase: Saturation
% 0.15/0.56 % (2149748)Time elapsed: 0.098 s
% 0.15/0.56 % (2149748)Peak memory usage: 12 MB
% 0.15/0.56 % (2149748)Instructions burned: 160 (million)
% 0.15/0.56 % (2149779) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2149734-2149779"...
% 0.15/0.56 % (2149784)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=133612733:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.15/0.56 % (2149779)...printing done.
% 0.15/0.56 % (2149779)Refutation found. Thanks to Tanya!
% 0.15/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.56 % (2149779)------------------------------
% 0.15/0.56 % (2149779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.56 % (2149779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.56 % (2149779)CaDiCaL version: 2.1.3
% 0.15/0.56 % (2149779)Termination reason: Refutation
% 0.15/0.56 % (2149779)Time elapsed: 0.010 s
% 0.15/0.56 % (2149779)Peak memory usage: 12 MB
% 0.15/0.56 % (2149779)Instructions burned: 13 (million)
% 0.15/0.56 % (2149734)Success in time 0.138 s
% 0.15/0.56 % Vampire exiting
%------------------------------------------------------------------------------