%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP464-1 : 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 : 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 10:17:53 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,X0),X2))) = X1,
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(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
! [X0] : divide(X0,X0) = identity,
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f8,plain,
a2 != multiply(identity,a2),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
a2 != divide(identity,divide(identity,a2)),
inference(definition_unfolding,[],[f8,f2]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : identity = divide(X0,divide(divide(identity,X1),divide(divide(identity,X0),X1))),
inference(superposition,[],[f10,f6]) ).
fof(f13,plain,
! [X0,X1] : divide(X0,divide(identity,divide(divide(identity,X0),divide(identity,X1)))) = X1,
inference(superposition,[],[f10,f6]) ).
fof(f19,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f10,f6]) ).
fof(f39,plain,
! [X0] : identity = divide(X0,divide(divide(identity,identity),divide(identity,X0))),
inference(superposition,[],[f11,f19]) ).
fof(f47,plain,
! [X0] : identity = divide(X0,divide(identity,divide(identity,X0))),
inference(forward_demodulation,[],[f39,f6]) ).
fof(f109,plain,
! [X0] : divide(identity,divide(identity,X0)) = divide(X0,divide(identity,identity)),
inference(superposition,[],[f13,f47]) ).
fof(f128,plain,
! [X0] : divide(X0,identity) = divide(identity,divide(identity,X0)),
inference(forward_demodulation,[],[f109,f6]) ).
fof(f139,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f128,f19]) ).
fof(f154,plain,
a2 != a2,
inference(superposition,[],[f9,f139]) ).
fof(f165,plain,
$false,
inference(trivial_inequality_removal,[],[f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP464-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:05:31 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.47 % (2170514)Will run a generic schedule for satisfiability detection.
% 0.12/0.47 % (2170539)dis+10_1_sil=32000:sp=arity:random_seed=3193764177:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.47 % (2170536)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=230047540_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.47 % TRYING [1]
% 0.12/0.47 % TRYING [2]
% 0.12/0.47 % TRYING [3]
% 0.12/0.47 % (2170537)% WARNING: option uhcvi not known.
% 0.12/0.47 % (2170538)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2867659777:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.47 % TRYING [4]
% 0.12/0.47 % (2170539) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2170514-2170539"...
% 0.12/0.47 % (2170541)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2014412825:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.47 % (2170542)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4209258787:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.47 % (2170539)...printing done.
% 0.12/0.47 % (2170540)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3079241428:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.47 % (2170539)Refutation found. Thanks to Tanya!
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.47 % (2170539)------------------------------
% 0.12/0.47 % (2170539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (2170539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (2170539)CaDiCaL version: 2.1.3
% 0.12/0.47 % (2170539)Termination reason: Refutation
% 0.12/0.47 % (2170539)Time elapsed: 0.006 s
% 0.12/0.47 % (2170539)Peak memory usage: 11 MB
% 0.12/0.47 % (2170539)Instructions burned: 6 (million)
% 0.12/0.47 % (2170514)Success in time 0.049 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------