%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP698-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 01:28:04 PM UTC 2026
% Result : Unsatisfiable 5.11s 1.21s
% Output : CNFRefutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 4 RR)
% Number of literals : 38 ( 37 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t7,axiom,
mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t3,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t23,plain,
mult(X1,mult(mult(mult(ld(X1,X2),X1),X1),X3)) = mult(mult(X2,X1),mult(X1,X3)),
inference(cp,[status(thm)],[t22,t8]) ).
cnf(t475,plain,
mult(X1,mult(mult(mult(ld(X1,X2),X1),X1),X3)) = mult(mult(X2,X1),mult(X1,X3)),
inference(orient,[status(thm)],[t23]) ).
cnf(t5,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t14,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t27,plain,
mult(X1,mult(mult(mult(X2,X1),X1),unit)) = mult(mult(mult(X1,X2),X1),X1),
inference(cp,[status(thm)],[t22,t9]) ).
cnf(t1545,plain,
mult(X1,mult(mult(X2,X1),X1)) = mult(mult(mult(X1,X2),X1),X1),
inference(step,[status(thm)],[t27,t9]) ).
cnf(t85,plain,
mult(mult(mult(X1,X2),X1),X1) = mult(X1,mult(mult(X2,X1),X1)),
inference(orient,[status(thm)],[t1545]) ).
cnf(t89,plain,
mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1),
inference(cp,[status(thm)],[t85,t8]) ).
cnf(t251,plain,
mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1),
inference(orient,[status(thm)],[t89]) ).
cnf(t260,plain,
mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)),
inference(cp,[status(thm)],[t18,t251]) ).
cnf(t268,plain,
ld(X1,mult(mult(X2,X1),X1)) = mult(mult(ld(X1,X2),X1),X1),
inference(orient,[status(thm)],[t260]) ).
cnf(t4,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t279,plain,
mult(mult(ld(X1,rd(X2,X1)),X1),X1) = ld(X1,mult(X2,X1)),
inference(cp,[status(thm)],[t268,t12]) ).
cnf(t768,plain,
mult(mult(ld(X1,rd(X2,X1)),X1),X1) = ld(X1,mult(X2,X1)),
inference(orient,[status(thm)],[t279]) ).
cnf(t779,plain,
mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1),
inference(cp,[status(thm)],[t14,t768]) ).
cnf(t794,plain,
mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1),
inference(orient,[status(thm)],[t779]) ).
cnf(t805,plain,
ld(X1,rd(X2,X1)) = rd(rd(ld(X1,mult(X2,X1)),X1),X1),
inference(cp,[status(thm)],[t14,t794]) ).
cnf(t1403,plain,
rd(rd(ld(X1,mult(X2,X1)),X1),X1) = ld(X1,rd(X2,X1)),
inference(orient,[status(thm)],[t805]) ).
cnf(t1427,plain,
ld(X1,rd(rd(X2,X1),X1)) = rd(rd(ld(X1,X2),X1),X1),
inference(cp,[status(thm)],[t1403,t12]) ).
cnf(t1445,plain,
ld(X1,rd(rd(X2,X1),X1)) = rd(rd(ld(X1,X2),X1),X1),
inference(orient,[status(thm)],[t1427]) ).
cnf(t1460,plain,
mult(mult(rd(rd(X1,X2),X2),X2),mult(X2,X3)) = mult(X2,mult(mult(mult(rd(rd(ld(X2,X1),X2),X2),X2),X2),X3)),
inference(cp,[status(thm)],[t475,t1445]) ).
cnf(t1612,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(mult(mult(rd(rd(ld(X2,X1),X2),X2),X2),X2),X3)),
inference(step,[status(thm)],[t1460,t12]) ).
cnf(t1613,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(mult(rd(ld(X2,X1),X2),X2),X3)),
inference(step,[status(thm)],[t1612,t12]) ).
cnf(t1614,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(step,[status(thm)],[t1613,t12]) ).
cnf(t1472,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(orient,[status(thm)],[t1614]) ).
cnf(goal_0,negated_conjecture,
mult(rd(mult(a,b),a),mult(a,c)) != mult(a,mult(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(a,mult(ld(a,mult(a,b)),c)) != mult(a,mult(b,c)),
inference(rw,[status(thm)],[goal_0,t1472]) ).
cnf(g0_1,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(rw,[status(thm)],[g0_0,t18]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP698-1 : 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 : n018.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 15:47:03 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.11/1.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.11/1.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------