%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 5.82s 1.29s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 38 RR)
% Number of literals : 82 ( 81 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 : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t23,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t9,axiom,
mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t66,plain,
mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)),
inference(orient,[status(thm)],[t9]) ).
cnf(t7,axiom,
mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t50,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/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t52,plain,
op_f = mult(X1,ld(mult(unit,X1),op_c)),
inference(cp,[status(thm)],[t50,t21]) ).
cnf(t339,plain,
op_f = mult(X1,ld(X1,op_c)),
inference(step,[status(thm)],[t52,t21]) ).
cnf(t4,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t4]) ).
cnf(t340,plain,
op_f = op_c,
inference(step,[status(thm)],[t339,t17]) ).
cnf(t147,plain,
op_c = op_f,
inference(orient,[status(thm)],[t340]) ).
cnf(t344,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_c,X2)),
inference(step,[status(thm)],[t66,t147]) ).
cnf(t345,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(step,[status(thm)],[t344,t147]) ).
cnf(t150,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(rw,[status(thm)],[t345]) ).
cnf(t289,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(orient,[status(thm)],[t150]) ).
cnf(t3,axiom,
ld(X1,mult(op_c,X1)) = op_d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t141,plain,
ld(X1,mult(op_c,X1)) = op_d,
inference(orient,[status(thm)],[t3]) ).
cnf(t341,plain,
ld(X1,mult(op_f,X1)) = op_d,
inference(step,[status(thm)],[t141,t147]) ).
cnf(t148,plain,
ld(X1,mult(op_f,X1)) = op_d,
inference(rw,[status(thm)],[t341]) ).
cnf(t176,plain,
ld(X1,mult(op_f,X1)) = op_d,
inference(orient,[status(thm)],[t148]) ).
cnf(t177,plain,
op_d = op_f,
inference(cp,[status(thm)],[t176,t23]) ).
cnf(t183,plain,
op_d = op_f,
inference(orient,[status(thm)],[t177]) ).
cnf(t354,plain,
ld(X1,mult(op_f,X1)) = op_f,
inference(step,[status(thm)],[t176,t183]) ).
cnf(t188,plain,
ld(X1,mult(op_f,X1)) = op_f,
inference(orient,[status(thm)],[t354]) ).
cnf(t14,axiom,
sFlat1 = mult(op_d,mult(x0,x1)),
introduced(definition) ).
cnf(t118,plain,
mult(op_d,mult(x0,x1)) = sFlat1,
inference(orient,[status(thm)],[t14]) ).
cnf(t13,axiom,
sFlat0 = mult(x0,x1),
introduced(definition) ).
cnf(t133,plain,
mult(x0,x1) = sFlat0,
inference(orient,[status(thm)],[t13]) ).
cnf(t338,plain,
mult(op_d,sFlat0) = sFlat1,
inference(step,[status(thm)],[t118,t133]) ).
cnf(t140,plain,
mult(op_d,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t338]) ).
cnf(t166,plain,
mult(op_d,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t140]) ).
cnf(t357,plain,
mult(op_f,sFlat0) = sFlat1,
inference(step,[status(thm)],[t166,t183]) ).
cnf(t191,plain,
mult(op_f,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t357]) ).
cnf(t196,plain,
mult(op_f,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t191]) ).
cnf(t197,plain,
op_f = ld(sFlat0,sFlat1),
inference(cp,[status(thm)],[t188,t196]) ).
cnf(t204,plain,
ld(sFlat0,sFlat1) = op_f,
inference(orient,[status(thm)],[t197]) ).
cnf(t205,plain,
sFlat1 = mult(sFlat0,op_f),
inference(cp,[status(thm)],[t17,t204]) ).
cnf(t210,plain,
mult(sFlat0,op_f) = sFlat1,
inference(orient,[status(thm)],[t205]) ).
cnf(t293,plain,
mult(sFlat0,mult(op_f,X1)) = mult(sFlat1,X1),
inference(cp,[status(thm)],[t289,t210]) ).
cnf(t302,plain,
mult(sFlat0,mult(op_f,X1)) = mult(sFlat1,X1),
inference(orient,[status(thm)],[t293]) ).
cnf(t6,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t27,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t28,plain,
X1 = rd(X2,ld(X1,X2)),
inference(cp,[status(thm)],[t27,t17]) ).
cnf(t175,plain,
rd(X1,ld(X2,X1)) = X2,
inference(orient,[status(thm)],[t28]) ).
cnf(t179,plain,
op_d = ld(ld(op_f,X1),X1),
inference(cp,[status(thm)],[t176,t17]) ).
cnf(t360,plain,
op_f = ld(ld(op_f,X1),X1),
inference(step,[status(thm)],[t179,t183]) ).
cnf(t218,plain,
ld(ld(op_f,X1),X1) = op_f,
inference(orient,[status(thm)],[t360]) ).
cnf(t220,plain,
ld(op_f,X1) = rd(X1,op_f),
inference(cp,[status(thm)],[t175,t218]) ).
cnf(t221,plain,
ld(op_f,X1) = rd(X1,op_f),
inference(orient,[status(thm)],[t220]) ).
cnf(t223,plain,
X1 = mult(op_f,rd(X1,op_f)),
inference(cp,[status(thm)],[t17,t221]) ).
cnf(t227,plain,
mult(op_f,rd(X1,op_f)) = X1,
inference(orient,[status(thm)],[t223]) ).
cnf(t303,plain,
mult(sFlat1,rd(X1,op_f)) = mult(sFlat0,X1),
inference(cp,[status(thm)],[t302,t227]) ).
cnf(t316,plain,
mult(sFlat1,rd(X1,op_f)) = mult(sFlat0,X1),
inference(orient,[status(thm)],[t303]) ).
cnf(t15,axiom,
sFlat2 = mult(op_d,x0),
introduced(definition) ).
cnf(t125,plain,
mult(op_d,x0) = sFlat2,
inference(orient,[status(thm)],[t15]) ).
cnf(t359,plain,
mult(op_f,x0) = sFlat2,
inference(step,[status(thm)],[t125,t183]) ).
cnf(t193,plain,
mult(op_f,x0) = sFlat2,
inference(rw,[status(thm)],[t359]) ).
cnf(t201,plain,
mult(op_f,x0) = sFlat2,
inference(orient,[status(thm)],[t193]) ).
cnf(t202,plain,
op_f = ld(x0,sFlat2),
inference(cp,[status(thm)],[t188,t201]) ).
cnf(t207,plain,
ld(x0,sFlat2) = op_f,
inference(orient,[status(thm)],[t202]) ).
cnf(t209,plain,
x0 = rd(sFlat2,op_f),
inference(cp,[status(thm)],[t175,t207]) ).
cnf(t217,plain,
rd(sFlat2,op_f) = x0,
inference(orient,[status(thm)],[t209]) ).
cnf(t318,plain,
mult(sFlat0,sFlat2) = mult(sFlat1,x0),
inference(cp,[status(thm)],[t316,t217]) ).
cnf(t327,plain,
mult(sFlat1,x0) = mult(sFlat0,sFlat2),
inference(orient,[status(thm)],[t318]) ).
cnf(t330,plain,
x0 = ld(sFlat1,mult(sFlat0,sFlat2)),
inference(cp,[status(thm)],[t23,t327]) ).
cnf(t336,plain,
ld(sFlat1,mult(sFlat0,sFlat2)) = x0,
inference(orient,[status(thm)],[t330]) ).
cnf(t11,axiom,
mult(op_c,mult(X1,X2)) = mult(mult(op_c,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t79,plain,
mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)),
inference(orient,[status(thm)],[t11]) ).
cnf(t342,plain,
mult(mult(op_f,X1),X2) = mult(op_c,mult(X1,X2)),
inference(step,[status(thm)],[t79,t147]) ).
cnf(t343,plain,
mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
inference(step,[status(thm)],[t342,t147]) ).
cnf(t149,plain,
mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
inference(rw,[status(thm)],[t343]) ).
cnf(t280,plain,
mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
inference(orient,[status(thm)],[t149]) ).
cnf(goal_0,negated_conjecture,
mult(op_d,mult(x0,x1)) != mult(mult(op_d,x0),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(op_d,mult(x0,x1)) != mult(op_d,mult(ld(sFlat1,mult(sFlat0,sFlat2)),x1)),
inference(rw,[status(thm)],[goal_0,t336]) ).
cnf(g0_1,plain,
mult(op_d,mult(x0,x1)) != mult(op_f,mult(ld(sFlat1,mult(sFlat0,sFlat2)),x1)),
inference(rw,[status(thm)],[g0_0,t183]) ).
cnf(g0_2,plain,
mult(mult(op_d,ld(sFlat1,mult(sFlat0,sFlat2))),x1) != mult(op_f,mult(ld(sFlat1,mult(sFlat0,sFlat2)),x1)),
inference(rw,[status(thm)],[g0_1,t336]) ).
cnf(g0_3,plain,
mult(mult(op_f,ld(sFlat1,mult(sFlat0,sFlat2))),x1) != mult(op_f,mult(ld(sFlat1,mult(sFlat0,sFlat2)),x1)),
inference(rw,[status(thm)],[g0_2,t183]) ).
cnf(g0_4,plain,
mult(op_f,mult(ld(sFlat1,mult(sFlat0,sFlat2)),x1)) != mult(op_f,mult(ld(sFlat1,mult(sFlat0,sFlat2)),x1)),
inference(rw,[status(thm)],[g0_3,t280]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP702-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 15:46:03 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.82/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.82/1.29 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------