%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP657-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:18:27 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f13,plain,
! [X2,X0,X1] : mult(X1,mult(mult(ld(X1,X0),X2),X1)) = mult(X0,mult(X2,X1)),
inference(superposition,[],[f5,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)),
inference(superposition,[],[f4,f5]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(mult(ld(X2,X0),X1),X2) = ld(X2,mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f13]) ).
fof(f142,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(ld(X1,X1),X0),X1),
inference(superposition,[],[f28,f2]) ).
fof(f162,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X1,X1),X0),
inference(superposition,[],[f4,f142]) ).
fof(f179,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f162,f4]) ).
fof(f194,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = rd(mult(X1,mult(X0,X1)),mult(X0,X1)),
inference(superposition,[],[f19,f179]) ).
fof(f208,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f6,f179]) ).
fof(f214,plain,
! [X2,X1] : mult(X1,ld(X2,X2)) = X1,
inference(forward_demodulation,[],[f194,f4]) ).
fof(f279,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(superposition,[],[f208,f214]) ).
fof(f281,plain,
$false,
inference(trivial_inequality_removal,[],[f279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP657-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n014.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 10:32:17 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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
% 0.16/0.47 % (597492)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (597499)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3107698826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (597499) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-597492-597499"...
% 0.16/0.47 % (597498)% WARNING: option uhcvi not known.
% 0.16/0.47 % (597499)...printing done.
% 0.16/0.47 % (597499)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
% 0.16/0.47 % (597499)------------------------------
% 0.16/0.47 % (597499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (597499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (597499)CaDiCaL version: 2.1.3
% 0.16/0.47 % (597499)Termination reason: Refutation
% 0.16/0.47 % (597499)Time elapsed: 0.009 s
% 0.16/0.47 % (597499)Peak memory usage: 11 MB
% 0.16/0.47 % (597499)Instructions burned: 17 (million)
% 0.16/0.47 % (597492)Success in time 0.03 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------