%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 01:28:15 PM UTC 2026
% Result : Unsatisfiable 5.41s 1.13s
% Output : CNFRefutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 8 RR)
% Number of literals : 22 ( 21 equ; 7 neg)
% Maximal clause size : 1 ( 1 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t8,axiom,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
inference(orient,[status(thm)],[t8]) ).
cnf(t1,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t27,plain,
mult(X1,mult(unit,mult(X1,X2))) = mult(mult(X1,X1),X2),
inference(cp,[status(thm)],[t23,t11]) ).
cnf(t112,plain,
mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2),
inference(step,[status(thm)],[t27,t11]) ).
cnf(t73,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(orient,[status(thm)],[t112]) ).
cnf(t4,axiom,
mult(op_c,X1) = mult(X1,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t39,plain,
mult(X1,op_c) = mult(op_c,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t7,axiom,
mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t32,plain,
mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)),
inference(orient,[status(thm)],[t7]) ).
cnf(t48,plain,
mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)),
inference(rw,[status(thm)],[t32]) ).
cnf(t113,plain,
mult(op_c,mult(X1,X2)) = mult(X1,mult(X2,op_c)),
inference(step,[status(thm)],[t48,t39]) ).
cnf(t83,plain,
mult(op_c,mult(X1,X2)) = mult(X1,mult(X2,op_c)),
inference(orient,[status(thm)],[t113]) ).
cnf(goal_0,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') ).
cnf(g0_0,plain,
mult(mult(op_c,mult(op_c,a)),b) != mult(mult(mult(op_c,op_c),a),b),
inference(rw,[status(thm)],[goal_0,t73]) ).
cnf(g0_1,plain,
mult(mult(op_c,mult(a,op_c)),b) != mult(mult(mult(op_c,op_c),a),b),
inference(rw,[status(thm)],[g0_0,t39]) ).
cnf(g0_2,plain,
mult(op_c,mult(a,mult(op_c,b))) != mult(mult(mult(op_c,op_c),a),b),
inference(rw,[status(thm)],[g0_1,t23]) ).
cnf(g0_3,plain,
mult(op_c,mult(a,mult(b,op_c))) != mult(mult(mult(op_c,op_c),a),b),
inference(rw,[status(thm)],[g0_2,t39]) ).
cnf(g0_4,plain,
mult(op_c,mult(a,mult(b,op_c))) != mult(op_c,mult(op_c,mult(a,b))),
inference(rw,[status(thm)],[g0_3,t73]) ).
cnf(g0_5,plain,
mult(op_c,mult(a,mult(b,op_c))) != mult(op_c,mult(a,mult(b,op_c))),
inference(rw,[status(thm)],[g0_4,t83]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 15:50:03 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.41/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.41/1.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------