%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP462-1 : 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 : n010.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 0.16s 0.53s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 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 : 6 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),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(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f10,plain,
! [X0,X1] : divide(X0,divide(identity,divide(divide(identity,X0),divide(identity,X1)))) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f16,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f22,plain,
! [X0,X1] : divide(X1,divide(divide(identity,X0),divide(divide(identity,X1),identity))) = X0,
inference(superposition,[],[f7,f16]) ).
fof(f23,plain,
! [X0,X1] : divide(X1,divide(divide(identity,X0),divide(identity,X1))) = X0,
inference(forward_demodulation,[],[f22,f16]) ).
fof(f27,plain,
! [X0,X1] : divide(X1,divide(X0,divide(identity,X1))) = divide(divide(identity,X0),divide(identity,identity)),
inference(superposition,[],[f23,f23]) ).
fof(f32,plain,
! [X0] : divide(identity,divide(divide(identity,X0),identity)) = X0,
inference(superposition,[],[f23,f16]) ).
fof(f40,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f32,f16]) ).
fof(f44,plain,
! [X0,X1] : divide(divide(identity,X0),identity) = divide(X1,divide(X0,divide(identity,X1))),
inference(forward_demodulation,[],[f27,f4]) ).
fof(f49,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(X0,divide(identity,X1))),
inference(forward_demodulation,[],[f44,f16]) ).
fof(f292,plain,
! [X0,X1] : divide(divide(divide(identity,divide(identity,X1)),divide(identity,X0)),X0) = X1,
inference(superposition,[],[f23,f10]) ).
fof(f301,plain,
! [X0,X1] : divide(divide(X1,divide(identity,X0)),X0) = X1,
inference(forward_demodulation,[],[f292,f40]) ).
fof(f381,plain,
! [X0,X1] : divide(X1,X0) = divide(identity,divide(X0,divide(identity,divide(identity,X1)))),
inference(superposition,[],[f49,f301]) ).
fof(f382,plain,
! [X0,X1] : divide(X1,X0) = divide(identity,divide(X0,X1)),
inference(forward_demodulation,[],[f381,f40]) ).
fof(f472,plain,
! [X2,X0,X1] : divide(divide(X1,X0),divide(divide(identity,X2),divide(X0,X1))) = X2,
inference(superposition,[],[f23,f382]) ).
fof(f678,plain,
! [X2,X0,X1] : divide(divide(divide(divide(identity,divide(identity,X1)),X2),divide(divide(identity,X0),X2)),X0) = X1,
inference(superposition,[],[f472,f7]) ).
fof(f706,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X2),divide(divide(identity,X0),X2)),X0) = X1,
inference(forward_demodulation,[],[f678,f40]) ).
fof(f941,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(divide(identity,divide(identity,X2)),X1)),
inference(superposition,[],[f301,f706]) ).
fof(f948,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(X2,X1)),
inference(forward_demodulation,[],[f941,f40]) ).
fof(f996,plain,
! [X2,X0,X1] : divide(X0,divide(X2,X1)) = divide(divide(X0,divide(identity,X1)),X2),
inference(superposition,[],[f948,f301]) ).
fof(f1450,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,c3),b3)),
inference(superposition,[],[f6,f996]) ).
fof(f1489,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(forward_demodulation,[],[f1450,f382]) ).
fof(f1490,plain,
$false,
inference(trivial_inequality_removal,[],[f1489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP462-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:05:47 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
% 0.16/0.53 % (721480)Will run a generic schedule for satisfiability detection.
% 0.16/0.53 % (721488)dis+10_1_sil=32000:sp=arity:random_seed=4084178273:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.53 % (721486)% WARNING: option uhcvi not known.
% 0.16/0.53 % (721486)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2161556040:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.53 % (721489)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=373463554:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.53 % (721487)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=318320468:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.53 % (721485)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1649047956_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.53 % (721491)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1824895096:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.53 % (721490)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3122428997:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.53 % TRYING [1]
% 0.16/0.53 % TRYING [2]
% 0.16/0.53 % TRYING [3]
% 0.16/0.53 % TRYING [4]
% 0.16/0.53 % TRYING [5]
% 0.16/0.53 % (721488)Instruction limit reached!
% 0.16/0.53 % (721488)------------------------------
% 0.16/0.53 % (721488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.53 % (721488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.53 % (721488)CaDiCaL version: 2.1.3
% 0.16/0.53 % (721488)Termination reason: Instruction limit
% 0.16/0.53 % (721488)Termination phase: Saturation
% 0.16/0.53 % (721488)Time elapsed: 0.049 s
% 0.16/0.53 % (721488)Peak memory usage: 12 MB
% 0.16/0.53 % (721488)Instructions burned: 103 (million)
% 0.16/0.53 % (721487) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-721480-721487"...
% 0.16/0.53 % (721487)...printing done.
% 0.16/0.53 % (721487)Refutation found. Thanks to Tanya!
% 0.16/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (721487)------------------------------
% 0.16/0.53 % (721487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.53 % (721487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.53 % (721487)CaDiCaL version: 2.1.3
% 0.16/0.53 % (721487)Termination reason: Refutation
% 0.16/0.53 % (721487)Time elapsed: 0.053 s
% 0.16/0.53 % (721487)Peak memory usage: 11 MB
% 0.16/0.53 % (721487)Instructions burned: 53 (million)
% 0.16/0.53 % (721480)Success in time 0.105 s
% 0.16/0.53 % Vampire exiting
%------------------------------------------------------------------------------