%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 10:18:37 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f49,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
inference(superposition,[],[f8,f9]) ).
fof(f67,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(superposition,[],[f7,f8]) ).
fof(f71,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f89,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f71,f6]) ).
fof(f135,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(op_c,X0)),
inference(superposition,[],[f49,f8]) ).
fof(f337,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
inference(superposition,[],[f10,f89]) ).
fof(f364,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(a,mult(op_c,b))),
inference(forward_demodulation,[],[f337,f67]) ).
fof(f371,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(op_c,mult(a,b))),
inference(forward_demodulation,[],[f364,f135]) ).
fof(f374,plain,
$false,
inference(forward_subsumption_resolution,[],[f371,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 10:42:02 UTC 2026
% 0.16/0.39 % CPUTime :
% 0.16/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.45 Running first-order model finding
% 0.16/0.45 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
% 0.20/0.51 % (2432981)Will run a generic schedule for satisfiability detection.
% 0.20/0.51 % (2432990)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1124776201:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.51 % (2432987)% WARNING: option uhcvi not known.
% 0.20/0.51 % (2432990) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2432981-2432990"...
% 0.20/0.51 % (2432990)...printing done.
% 0.20/0.51 % (2432990)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (2432990)------------------------------
% 0.20/0.51 % (2432990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.51 % (2432990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.51 % (2432990)CaDiCaL version: 2.1.3
% 0.20/0.51 % (2432990)Termination reason: Refutation
% 0.20/0.51 % (2432990)Time elapsed: 0.009 s
% 0.20/0.51 % (2432990)Peak memory usage: 11 MB
% 0.20/0.51 % (2432990)Instructions burned: 15 (million)
% 0.20/0.51 % (2432981)Success in time 0.041 s
% 0.20/0.51 % Vampire exiting
%------------------------------------------------------------------------------