%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP703-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 01:28:13 PM UTC 2026
% Result : Unsatisfiable 5.68s 1.27s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 13 RR)
% Number of literals : 61 ( 60 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10,axiom,
mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t85,plain,
mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e,
inference(orient,[status(thm)],[t10]) ).
cnf(t7,axiom,
mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t46,plain,
mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f,
inference(orient,[status(thm)],[t7]) ).
cnf(t1,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t48,plain,
op_f = mult(X1,ld(mult(unit,X1),op_c)),
inference(cp,[status(thm)],[t46,t17]) ).
cnf(t1307,plain,
op_f = mult(X1,ld(X1,op_c)),
inference(step,[status(thm)],[t48,t17]) ).
cnf(t4,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t4]) ).
cnf(t1308,plain,
op_f = op_c,
inference(step,[status(thm)],[t1307,t13]) ).
cnf(t113,plain,
op_c = op_f,
inference(orient,[status(thm)],[t1308]) ).
cnf(t1317,plain,
mult(mult(rd(op_f,mult(X1,X2)),X2),X1) = op_e,
inference(step,[status(thm)],[t85,t113]) ).
cnf(t119,plain,
mult(mult(rd(op_f,mult(X1,X2)),X2),X1) = op_e,
inference(rw,[status(thm)],[t1317]) ).
cnf(t1236,plain,
mult(mult(rd(op_f,mult(X1,X2)),X2),X1) = op_e,
inference(orient,[status(thm)],[t119]) ).
cnf(t12,axiom,
mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t27,plain,
mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(orient,[status(thm)],[t12]) ).
cnf(t0,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t14,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t29,plain,
mult(X1,mult(X2,mult(X2,unit))) = mult(mult(X1,X2),X2),
inference(cp,[status(thm)],[t27,t14]) ).
cnf(t1323,plain,
mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2),
inference(step,[status(thm)],[t29,t14]) ).
cnf(t159,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t1323]) ).
cnf(t1237,plain,
op_e = mult(rd(op_f,mult(X1,X1)),mult(X1,X1)),
inference(cp,[status(thm)],[t1236,t159]) ).
cnf(t5,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t1339,plain,
op_e = op_f,
inference(step,[status(thm)],[t1237,t15]) ).
cnf(t1304,plain,
op_e = op_f,
inference(orient,[status(thm)],[t1339]) ).
cnf(t11,axiom,
mult(op_c,mult(X1,X2)) = mult(mult(op_c,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t75,plain,
mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)),
inference(orient,[status(thm)],[t11]) ).
cnf(t1310,plain,
mult(mult(op_f,X1),X2) = mult(op_c,mult(X1,X2)),
inference(step,[status(thm)],[t75,t113]) ).
cnf(t1311,plain,
mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
inference(step,[status(thm)],[t1310,t113]) ).
cnf(t115,plain,
mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
inference(rw,[status(thm)],[t1311]) ).
cnf(t171,plain,
mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
inference(orient,[status(thm)],[t115]) ).
cnf(t3,axiom,
ld(X1,mult(op_c,X1)) = op_d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t107,plain,
ld(X1,mult(op_c,X1)) = op_d,
inference(orient,[status(thm)],[t3]) ).
cnf(t1309,plain,
ld(X1,mult(op_f,X1)) = op_d,
inference(step,[status(thm)],[t107,t113]) ).
cnf(t114,plain,
ld(X1,mult(op_f,X1)) = op_d,
inference(rw,[status(thm)],[t1309]) ).
cnf(t126,plain,
ld(X1,mult(op_f,X1)) = op_d,
inference(orient,[status(thm)],[t114]) ).
cnf(t131,plain,
mult(op_f,X1) = mult(X1,op_d),
inference(cp,[status(thm)],[t13,t126]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t127,plain,
op_d = op_f,
inference(cp,[status(thm)],[t126,t19]) ).
cnf(t133,plain,
op_d = op_f,
inference(orient,[status(thm)],[t127]) ).
cnf(t1322,plain,
mult(op_f,X1) = mult(X1,op_f),
inference(step,[status(thm)],[t131,t133]) ).
cnf(t154,plain,
mult(op_f,X1) = mult(X1,op_f),
inference(orient,[status(thm)],[t1322]) ).
cnf(t176,plain,
mult(op_f,mult(X1,X2)) = mult(mult(X1,op_f),X2),
inference(cp,[status(thm)],[t171,t154]) ).
cnf(t9,axiom,
mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t62,plain,
mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
inference(orient,[status(thm)],[t9]) ).
cnf(t1312,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_c,X2)),
inference(step,[status(thm)],[t62,t113]) ).
cnf(t1313,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(step,[status(thm)],[t1312,t113]) ).
cnf(t116,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(rw,[status(thm)],[t1313]) ).
cnf(t180,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(orient,[status(thm)],[t116]) ).
cnf(t1327,plain,
mult(op_f,mult(X1,X2)) = mult(X1,mult(op_f,X2)),
inference(step,[status(thm)],[t176,t180]) ).
cnf(t241,plain,
mult(op_f,mult(X1,X2)) = mult(X1,mult(op_f,X2)),
inference(orient,[status(thm)],[t1327]) ).
cnf(goal_0,negated_conjecture,
mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(op_f,mult(x2,x3)) != mult(mult(op_e,x2),x3),
inference(rw,[status(thm)],[goal_0,t1304]) ).
cnf(g0_1,plain,
mult(x2,mult(op_f,x3)) != mult(mult(op_e,x2),x3),
inference(rw,[status(thm)],[g0_0,t241]) ).
cnf(g0_2,plain,
mult(x2,mult(op_f,x3)) != mult(mult(op_f,x2),x3),
inference(rw,[status(thm)],[g0_1,t1304]) ).
cnf(g0_3,plain,
mult(x2,mult(op_f,x3)) != mult(mult(x2,op_f),x3),
inference(rw,[status(thm)],[g0_2,t154]) ).
cnf(g0_4,plain,
mult(x2,mult(op_f,x3)) != mult(x2,mult(op_f,x3)),
inference(rw,[status(thm)],[g0_3,t180]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 15:46:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.68/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/1.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------