%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:27:58 PM UTC 2026
% Result : Unsatisfiable 5.82s 1.53s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 4 RR)
% Number of literals : 26 ( 25 equ; 3 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
mult(op_c,X1) = mult(X1,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t35,plain,
mult(X1,op_c) = mult(op_c,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t7,axiom,
mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t45,plain,
mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(orient,[status(thm)],[t7]) ).
cnf(t5,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t48,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(cp,[status(thm)],[t45,t11]) ).
cnf(t111,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(orient,[status(thm)],[t48]) ).
cnf(t113,plain,
mult(X1,ld(op_c,mult(X2,op_c))) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(cp,[status(thm)],[t111,t35]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t36,plain,
mult(op_c,rd(X1,op_c)) = X1,
inference(cp,[status(thm)],[t35,t11]) ).
cnf(t71,plain,
mult(op_c,rd(X1,op_c)) = X1,
inference(orient,[status(thm)],[t36]) ).
cnf(t73,plain,
rd(X1,op_c) = ld(op_c,X1),
inference(cp,[status(thm)],[t19,t71]) ).
cnf(t79,plain,
ld(op_c,X1) = rd(X1,op_c),
inference(orient,[status(thm)],[t73]) ).
cnf(t155,plain,
mult(X1,rd(mult(X2,op_c),op_c)) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t113,t79]) ).
cnf(t6,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t156,plain,
mult(X1,X2) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t155,t15]) ).
cnf(t127,plain,
mult(op_c,mult(rd(X1,op_c),X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t156]) ).
cnf(t132,plain,
mult(mult(X1,op_c),X2) = mult(op_c,mult(X1,X2)),
inference(cp,[status(thm)],[t127,t15]) ).
cnf(t142,plain,
mult(mult(X1,op_c),X2) = mult(op_c,mult(X1,X2)),
inference(orient,[status(thm)],[t132]) ).
cnf(goal_0,negated_conjecture,
mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(op_c,mult(x0,x1)) != mult(mult(x0,op_c),x1),
inference(rw,[status(thm)],[goal_0,t35]) ).
cnf(g0_1,plain,
mult(op_c,mult(x0,x1)) != mult(op_c,mult(x0,x1)),
inference(rw,[status(thm)],[g0_0,t142]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.59 % Computer : n018.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Wed Sep 23 15:36:47 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.82/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.82/1.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------