%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP456-1 : 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 : n003.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 10:17:52 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f8,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f10,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f13,plain,
! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
inference(superposition,[],[f8,f4]) ).
fof(f32,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f10,f4]) ).
fof(f39,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f32,f4]) ).
fof(f44,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = divide(identity,divide(identity,X0)),
inference(superposition,[],[f39,f13]) ).
fof(f45,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f13,f39]) ).
fof(f56,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f44,f39]) ).
fof(f84,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(superposition,[],[f8,f56]) ).
fof(f93,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X1,X0))),divide(identity,X0)) = X1,
inference(superposition,[],[f8,f56]) ).
fof(f100,plain,
! [X0,X1] : divide(divide(X1,X0),divide(identity,X0)) = X1,
inference(forward_demodulation,[],[f93,f56]) ).
fof(f115,plain,
! [X0,X1] : divide(identity,divide(X1,divide(X0,identity))) = divide(X0,X1),
inference(superposition,[],[f84,f10]) ).
fof(f137,plain,
! [X0,X1] : divide(identity,divide(X1,X0)) = divide(X0,X1),
inference(forward_demodulation,[],[f115,f45]) ).
fof(f176,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(X0,divide(identity,X1))),
inference(superposition,[],[f137,f84]) ).
fof(f192,plain,
! [X2,X0,X1] : divide(divide(X2,divide(X1,X0)),divide(X0,X1)) = X2,
inference(superposition,[],[f100,f137]) ).
fof(f274,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X1,divide(X2,divide(identity,X0)))),divide(X0,divide(identity,divide(identity,X1)))) = X2,
inference(superposition,[],[f7,f176]) ).
fof(f275,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X1,divide(X2,divide(identity,X0)))),divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f274,f56]) ).
fof(f299,plain,
! [X2,X0,X1] : divide(divide(divide(X2,divide(identity,X0)),X1),divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f275,f137]) ).
fof(f411,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X1,X0)),X2) = divide(X0,divide(X2,divide(identity,X1))),
inference(superposition,[],[f7,f192]) ).
fof(f423,plain,
! [X2,X0,X1] : divide(X0,divide(X2,divide(identity,X1))) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[],[f411,f137]) ).
fof(f758,plain,
! [X2,X0,X1] : divide(X0,divide(X2,X1)) = divide(divide(X0,divide(identity,X1)),X2),
inference(superposition,[],[f192,f299]) ).
fof(f1385,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,c3),b3)),
inference(superposition,[],[f6,f758]) ).
fof(f1453,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(forward_demodulation,[],[f1385,f423]) ).
fof(f1454,plain,
$false,
inference(trivial_inequality_removal,[],[f1453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP456-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:06:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.15/0.48 % (269788)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (269798)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3305604485:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (269794)% WARNING: option uhcvi not known.
% 0.15/0.48 % (269793)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1986848879_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (269794)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1795055383:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (269795)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4126477036:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (269796)dis+10_1_sil=32000:sp=arity:random_seed=2455548349:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (269797)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3402101048:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (269799)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1078228562:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % TRYING [4]
% 0.15/0.48 % TRYING [5]
% 0.15/0.48 % (269795) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-269788-269795"...
% 0.15/0.48 % (269795)...printing done.
% 0.15/0.48 % (269795)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (269795)------------------------------
% 0.15/0.48 % (269795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (269795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (269795)CaDiCaL version: 2.1.3
% 0.15/0.48 % (269795)Termination reason: Refutation
% 0.15/0.48 % (269795)Time elapsed: 0.029 s
% 0.15/0.48 % (269795)Peak memory usage: 12 MB
% 0.15/0.48 % (269795)Instructions burned: 48 (million)
% 0.15/0.48 % (269788)Success in time 0.071 s
% 0.15/0.49 % Vampire exiting
%------------------------------------------------------------------------------