%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP527-1 : 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 : n014.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 10:18:02 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,divide(X0,X2)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X0,X1] : multiply(X1,X0) = divide(X1,inverse(X0)),
inference(superposition,[],[f2,f3]) ).
fof(f15,plain,
! [X0] : multiply(a3,multiply(b3,c3)) != multiply(divide(a3,divide(divide(X0,X0),b3)),c3),
inference(superposition,[],[f4,f2]) ).
fof(f19,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X0,multiply(divide(X0,X1),X1)),
inference(superposition,[],[f1,f2]) ).
fof(f23,plain,
! [X0,X1] : multiply(a3,multiply(b3,c3)) != divide(divide(a3,divide(divide(X0,X0),b3)),divide(divide(X1,X1),c3)),
inference(superposition,[],[f15,f2]) ).
fof(f35,plain,
! [X0] : multiply(a3,multiply(b3,c3)) != divide(divide(a3,divide(divide(X0,X0),b3)),inverse(c3)),
inference(superposition,[],[f23,f3]) ).
fof(f131,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,divide(X1,X3))) = divide(divide(X2,divide(X0,X1)),X3),
inference(superposition,[],[f10,f10]) ).
fof(f186,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = divide(X2,divide(divide(X0,multiply(divide(X0,X1),X1)),X3)),
inference(superposition,[],[f2,f19]) ).
fof(f196,plain,
! [X0,X1] : multiply(a3,multiply(b3,c3)) != divide(divide(a3,divide(divide(X0,multiply(divide(X0,X1),X1)),b3)),inverse(c3)),
inference(superposition,[],[f35,f19]) ).
fof(f213,plain,
! [X0,X1] : multiply(a3,multiply(b3,c3)) != divide(a3,divide(divide(X0,multiply(divide(X0,X1),X1)),divide(b3,inverse(c3)))),
inference(forward_demodulation,[],[f196,f131]) ).
fof(f219,plain,
! [X0,X1] : multiply(a3,multiply(b3,c3)) != divide(a3,divide(divide(X0,multiply(divide(X0,X1),X1)),multiply(b3,c3))),
inference(forward_demodulation,[],[f213,f12]) ).
fof(f220,plain,
$false,
inference(forward_subsumption_resolution,[],[f219,f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:06:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.16/0.47 % (569958)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (569978)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=560121018_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % (569979)% WARNING: option uhcvi not known.
% 0.16/0.47 % (569983)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2920520731:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (569979)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3826817591:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (569980)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1017118501:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (569982)dis+10_1_sil=32000:sp=arity:random_seed=3215876625:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (569985)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=819584543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (569984)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3631857220:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (569984) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-569958-569984"...
% 0.16/0.47 % (569984)...printing done.
% 0.16/0.47 % (569984)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (569984)------------------------------
% 0.16/0.48 % (569984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (569984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (569984)CaDiCaL version: 2.1.3
% 0.16/0.48 % (569984)Termination reason: Refutation
% 0.16/0.48 % (569984)Time elapsed: 0.008 s
% 0.16/0.48 % (569984)Peak memory usage: 11 MB
% 0.16/0.48 % (569984)Instructions burned: 12 (million)
% 0.16/0.48 % (569958)Success in time 0.059 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------