%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP467-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:17:54 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f4,f2,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X4) = divide(divide(X1,X1),divide(divide(divide(X0,divide(X2,X3)),inverse(X2)),divide(X0,inverse(X3)))),
inference(superposition,[],[f1,f1]) ).
fof(f17,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f7,f7]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : divide(X3,X2) = divide(divide(X1,X1),divide(X2,divide(divide(X0,X0),inverse(X3)))),
inference(superposition,[],[f1,f17]) ).
fof(f36,plain,
! [X0] : a2 != divide(divide(X0,X0),inverse(a2)),
inference(superposition,[],[f5,f17]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : a2 != divide(divide(divide(X0,X0),divide(divide(divide(X1,divide(X2,X3)),inverse(X2)),divide(X1,inverse(X3)))),inverse(a2)),
inference(superposition,[],[f36,f7]) ).
fof(f60,plain,
! [X2,X3,X0,X1] : a2 != divide(divide(divide(X1,X1),divide(divide(divide(X0,X0),inverse(X2)),divide(divide(X2,X3),inverse(X3)))),inverse(a2)),
inference(superposition,[],[f49,f17]) ).
fof(f91,plain,
! [X0,X1] : a2 != divide(divide(divide(X1,X1),divide(X0,X0)),inverse(a2)),
inference(superposition,[],[f60,f17]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X5] : a2 != divide(divide(divide(divide(X0,X0),divide(divide(divide(X1,divide(X2,X3)),inverse(X2)),divide(X1,inverse(X3)))),divide(X5,X5)),inverse(a2)),
inference(superposition,[],[f91,f7]) ).
fof(f598,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(X1,divide(divide(X2,X2),inverse(X1))),
inference(superposition,[],[f35,f17]) ).
fof(f628,plain,
! [X2,X3,X0,X1,X4,X5] : a2 != divide(divide(divide(divide(X2,X2),divide(divide(divide(X0,X1),inverse(X1)),divide(divide(X3,X3),inverse(divide(divide(X4,X4),inverse(X0)))))),divide(X5,X5)),inverse(a2)),
inference(superposition,[],[f100,f35]) ).
fof(f757,plain,
! [X0,X1,X4,X5] : a2 != divide(divide(divide(divide(divide(X4,X4),inverse(X0)),divide(divide(X0,X1),inverse(X1))),divide(X5,X5)),inverse(a2)),
inference(forward_demodulation,[],[f628,f35]) ).
fof(f937,plain,
! [X2,X3,X0,X1] : a2 != divide(divide(divide(divide(divide(X1,X1),inverse(X2)),divide(divide(X0,X0),inverse(X2))),divide(X3,X3)),inverse(a2)),
inference(superposition,[],[f757,f17]) ).
fof(f1456,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X1),divide(inverse(X2),divide(divide(X0,X0),inverse(divide(X3,X3))))) = X2,
inference(superposition,[],[f1,f598]) ).
fof(f1504,plain,
! [X2,X3] : divide(divide(X3,X3),inverse(X2)) = X2,
inference(forward_demodulation,[],[f1456,f35]) ).
fof(f2265,plain,
a2 != a2,
inference(superposition,[],[f937,f1504]) ).
fof(f2321,plain,
$false,
inference(trivial_inequality_removal,[],[f2265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP467-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:07:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.56 % (2098502)Will run a generic schedule for satisfiability detection.
% 0.17/0.56 % (2098508)% WARNING: option uhcvi not known.
% 0.17/0.56 % (2098508)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1609606305:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.56 % (2098507)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=891667548_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.56 % (2098511)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4032444501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.56 % (2098509)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2097698951:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.56 % (2098512)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2988194419:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.56 % (2098510)dis+10_1_sil=32000:sp=arity:random_seed=45676193:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.56 % (2098513)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1982201293:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % (2098510)Instruction limit reached!
% 0.17/0.56 % (2098510)------------------------------
% 0.17/0.56 % (2098510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (2098510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (2098510)CaDiCaL version: 2.1.3
% 0.17/0.56 % (2098510)Termination reason: Instruction limit
% 0.17/0.56 % (2098510)Termination phase: Saturation
% 0.17/0.56 % (2098510)Time elapsed: 0.054 s
% 0.17/0.56 % (2098510)Peak memory usage: 11 MB
% 0.17/0.56 % (2098510)Instructions burned: 104 (million)
% 0.17/0.56 % (2098511)Instruction limit reached!
% 0.17/0.56 % (2098511)------------------------------
% 0.17/0.56 % (2098511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (2098511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (2098511)CaDiCaL version: 2.1.3
% 0.17/0.56 % (2098511)Termination reason: Instruction limit
% 0.17/0.56 % (2098511)Termination phase: Saturation
% 0.17/0.56 % (2098511)Time elapsed: 0.066 s
% 0.17/0.56 % (2098511)Peak memory usage: 12 MB
% 0.17/0.56 % (2098511)Instructions burned: 116 (million)
% 0.17/0.56 % (2098521)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=801360186:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.56 % (2098512)Instruction limit reached!
% 0.17/0.56 % (2098512)------------------------------
% 0.17/0.56 % (2098512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (2098512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (2098512)CaDiCaL version: 2.1.3
% 0.17/0.56 % (2098512)Termination reason: Instruction limit
% 0.17/0.56 % (2098512)Termination phase: Saturation
% 0.17/0.56 % (2098512)Time elapsed: 0.074 s
% 0.17/0.56 % (2098512)Peak memory usage: 13 MB
% 0.17/0.56 % (2098512)Instructions burned: 133 (million)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % (2098522)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1479522771:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % (2098513)Instruction limit reached!
% 0.17/0.56 % (2098513)------------------------------
% 0.17/0.56 % (2098513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (2098513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (2098513)CaDiCaL version: 2.1.3
% 0.17/0.56 % (2098513)Termination reason: Instruction limit
% 0.17/0.56 % (2098513)Termination phase: Saturation
% 0.17/0.56 % (2098513)Time elapsed: 0.095 s
% 0.17/0.56 % (2098513)Peak memory usage: 13 MB
% 0.17/0.56 % (2098513)Instructions burned: 159 (million)
% 0.17/0.56 % (2098524)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=3926686695:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.17/0.56 % (2098509) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2098502-2098509"...
% 0.17/0.56 % (2098509)...printing done.
% 0.17/0.56 % (2098509)Refutation found. Thanks to Tanya!
% 0.17/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.56 % (2098509)------------------------------
% 0.17/0.56 % (2098509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (2098509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (2098509)CaDiCaL version: 2.1.3
% 0.17/0.56 % (2098509)Termination reason: Refutation
% 0.17/0.56 % (2098509)Time elapsed: 0.103 s
% 0.17/0.56 % (2098509)Peak memory usage: 13 MB
% 0.17/0.56 % (2098509)Instructions burned: 190 (million)
% 0.17/0.56 % (2098502)Success in time 0.141 s
% 0.17/0.56 % Vampire exiting
%------------------------------------------------------------------------------