%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP665-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 5.14s 1.15s
% Output : CNFRefutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 5 RR)
% Number of literals : 43 ( 42 equ; 4 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 : 76 ( 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(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(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(t38,plain,
X1 = rd(mult(op_c,X1),op_c),
inference(cp,[status(thm)],[t15,t35]) ).
cnf(t87,plain,
rd(mult(op_c,X1),op_c) = X1,
inference(orient,[status(thm)],[t38]) ).
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(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(t260,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(t261,plain,
mult(X1,X2) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t260,t15]) ).
cnf(t127,plain,
mult(op_c,mult(rd(X1,op_c),X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t261]) ).
cnf(t136,plain,
mult(rd(X1,op_c),X2) = rd(mult(X1,X2),op_c),
inference(cp,[status(thm)],[t87,t127]) ).
cnf(t164,plain,
mult(rd(X1,op_c),X2) = rd(mult(X1,X2),op_c),
inference(orient,[status(thm)],[t136]) ).
cnf(t8,axiom,
mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t23,plain,
mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t3,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t24,plain,
mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)),
inference(cp,[status(thm)],[t23,t9]) ).
cnf(t95,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(orient,[status(thm)],[t24]) ).
cnf(t165,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(op_c,mult(ld(op_c,X1),X2)),
inference(cp,[status(thm)],[t164,t95]) ).
cnf(t263,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t165,t79]) ).
cnf(t264,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(op_c,rd(mult(X1,X2),op_c)),
inference(step,[status(thm)],[t263,t164]) ).
cnf(t265,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(X1,X2),
inference(step,[status(thm)],[t264,t71]) ).
cnf(t201,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(X1,X2),
inference(orient,[status(thm)],[t265]) ).
cnf(t214,plain,
mult(X1,mult(op_c,X2)) = mult(mult(X1,X2),op_c),
inference(cp,[status(thm)],[t11,t201]) ).
cnf(t267,plain,
mult(X1,mult(op_c,X2)) = mult(op_c,mult(X1,X2)),
inference(step,[status(thm)],[t214,t35]) ).
cnf(t227,plain,
mult(X1,mult(op_c,X2)) = mult(op_c,mult(X1,X2)),
inference(orient,[status(thm)],[t267]) ).
cnf(goal_0,negated_conjecture,
mult(x0,mult(x1,op_c)) != mult(mult(x0,x1),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(x0,mult(x1,op_c)) != mult(op_c,mult(x0,x1)),
inference(rw,[status(thm)],[goal_0,t35]) ).
cnf(g0_1,plain,
mult(x0,mult(x1,op_c)) != mult(x0,mult(op_c,x1)),
inference(rw,[status(thm)],[g0_0,t227]) ).
cnf(g0_2,plain,
mult(x0,mult(x1,op_c)) != mult(x0,mult(x1,op_c)),
inference(rw,[status(thm)],[g0_1,t35]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP665-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Wed Sep 23 15:35:26 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.14/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.14/1.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------