%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP550-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 10:18:05 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : divide(identity,X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f7,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
inference(definition_unfolding,[],[f7,f2,f2,f4]) ).
fof(f9,plain,
a2 != divide(identity,divide(identity,a2)),
inference(superposition,[],[f8,f5]) ).
fof(f10,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f17,plain,
! [X0] : divide(X0,identity) = divide(identity,divide(identity,X0)),
inference(superposition,[],[f10,f5]) ).
fof(f19,plain,
! [X2,X0] : divide(X0,divide(divide(X0,X2),identity)) = X2,
inference(superposition,[],[f1,f10]) ).
fof(f30,plain,
a2 != divide(a2,identity),
inference(superposition,[],[f9,f17]) ).
fof(f34,plain,
! [X0] : divide(X0,divide(identity,identity)) = X0,
inference(superposition,[],[f19,f5]) ).
fof(f46,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[],[f34,f5]) ).
fof(f59,plain,
a2 != a2,
inference(superposition,[],[f30,f46]) ).
fof(f60,plain,
$false,
inference(trivial_inequality_removal,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP550-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n016.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
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:11:47 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
% 0.11/0.44 % (2400376)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (2400385)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=275646314_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.44 % (2400386)% WARNING: option uhcvi not known.
% 0.11/0.44 % TRYING [1]
% 0.11/0.44 % TRYING [2]
% 0.11/0.44 % (2400386)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1452691230:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.11/0.44 % TRYING [3]
% 0.11/0.44 % (2400390)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1732389683:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.44 % (2400387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2100841424:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.44 % (2400391)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1150092150:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.11/0.44 % TRYING [4]
% 0.11/0.44 % (2400388)dis+10_1_sil=32000:sp=arity:random_seed=2089750788:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.44 % (2400389)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=779294872:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.11/0.44 % TRYING [5]
% 0.11/0.44 % (2400387) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400376-2400387"...
% 0.11/0.44 % (2400391) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400376-2400391"...
% 0.11/0.44 % (2400386) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400376-2400386"...
% 0.11/0.44 % (2400387)...printing done.
% 0.11/0.44 % (2400391)...printing done.
% 0.11/0.44 % (2400389) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400376-2400389"...
% 0.11/0.44 % (2400386)...printing done.
% 0.11/0.44 % (2400387)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (2400387)------------------------------
% 0.11/0.44 % (2400387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (2400387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (2400387)CaDiCaL version: 2.1.3
% 0.11/0.44 % (2400387)Termination reason: Refutation
% 0.11/0.44 % (2400387)Time elapsed: 0.003 s
% 0.11/0.44 % (2400387)Peak memory usage: 11 MB
% 0.11/0.44 % (2400387)Instructions burned: 3 (million)
% 0.11/0.44 % (2400376)Success in time 0.029 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------