%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 10:18:36 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.47s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f10,axiom,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f10) ).
fof(f12,axiom,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f12) ).
fof(f14,negated_conjecture,
mult(x2,mult(op_e,x3)) != mult(mult(x2,op_e),x3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f151,plain,
! [X0] : op_e = mult(rd(op_c,mult(unit,X0)),X0),
inference(superposition,[],[f5,f12]) ).
fof(f155,plain,
! [X0] : op_e = mult(rd(op_c,X0),X0),
inference(forward_demodulation,[],[f151,f6]) ).
fof(f168,plain,
op_c = op_e,
inference(forward_demodulation,[],[f155,f3]) ).
fof(f181,plain,
mult(x2,mult(op_c,x3)) != mult(mult(x2,op_c),x3),
inference(superposition,[],[f14,f168]) ).
fof(f182,plain,
$false,
inference(forward_subsumption_resolution,[],[f181,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.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 10:42:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.43 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
% 0.10/0.47 % (3371283)Will run a generic schedule for satisfiability detection.
% 0.10/0.47 % (3371291)dis+10_1_sil=32000:sp=arity:random_seed=2075098738:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.47 % (3371292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3750713991:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.47 % (3371293)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3682575211:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.47 % (3371291) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3371283-3371291"...
% 0.10/0.47 % (3371292) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3371283-3371292"...
% 0.10/0.47 % (3371290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2085898164:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.47 % (3371292)...printing done.
% 0.10/0.47 % (3371291)...printing done.
% 0.10/0.47 % (3371293) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3371283-3371293"...
% 0.10/0.47 % (3371294)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1624531417:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.47 % (3371292)Refutation found. Thanks to Tanya!
% 0.10/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.47 % (3371292)------------------------------
% 0.10/0.47 % (3371292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.47 % (3371292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.47 % (3371292)CaDiCaL version: 2.1.3
% 0.10/0.47 % (3371292)Termination reason: Refutation
% 0.10/0.47 % (3371292)Time elapsed: 0.005 s
% 0.10/0.47 % (3371292)Peak memory usage: 11 MB
% 0.10/0.47 % (3371292)Instructions burned: 7 (million)
% 0.10/0.47 % (3371283)Success in time 0.04 s
% 0.10/0.47 % Vampire exiting
%------------------------------------------------------------------------------