%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP687-1 : TPTP v9.3.1. Released v4.0.0.
% 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 01:28:03 PM UTC 2026
% Result : Unsatisfiable 3.69s 0.98s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 3 RR)
% Number of literals : 50 ( 49 equ; 2 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t6,axiom,
mult(mult(X1,mult(X1,X2)),X3) = mult(mult(X1,X1),mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
mult(mult(X1,mult(X1,X2)),X3) = mult(mult(X1,X1),mult(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t3,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t24,plain,
mult(mult(X1,X1),mult(ld(X1,X2),X3)) = mult(mult(X1,X2),X3),
inference(cp,[status(thm)],[t21,t7]) ).
cnf(t0,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t23,plain,
mult(mult(X1,X1),mult(X2,unit)) = mult(X1,mult(X1,X2)),
inference(cp,[status(thm)],[t21,t8]) ).
cnf(t3836,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(step,[status(thm)],[t23,t8]) ).
cnf(t36,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(orient,[status(thm)],[t3836]) ).
cnf(t3842,plain,
mult(X1,mult(X1,mult(ld(X1,X2),X3))) = mult(mult(X1,X2),X3),
inference(step,[status(thm)],[t24,t36]) ).
cnf(t128,plain,
mult(X1,mult(X1,mult(ld(X1,X2),X3))) = mult(mult(X1,X2),X3),
inference(orient,[status(thm)],[t3842]) ).
cnf(t131,plain,
mult(mult(X1,X2),ld(ld(X1,X2),X3)) = mult(X1,mult(X1,X3)),
inference(cp,[status(thm)],[t128,t7]) ).
cnf(t2192,plain,
mult(mult(X1,X2),ld(ld(X1,X2),X3)) = mult(X1,mult(X1,X3)),
inference(orient,[status(thm)],[t131]) ).
cnf(t2200,plain,
mult(X1,mult(X1,X2)) = mult(X3,ld(ld(X1,ld(X1,X3)),X2)),
inference(cp,[status(thm)],[t2192,t7]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t135,plain,
mult(X1,mult(ld(X1,X2),X3)) = ld(X1,mult(mult(X1,X2),X3)),
inference(cp,[status(thm)],[t17,t128]) ).
cnf(t142,plain,
ld(X1,mult(mult(X1,X2),X3)) = mult(X1,mult(ld(X1,X2),X3)),
inference(orient,[status(thm)],[t135]) ).
cnf(t147,plain,
mult(X1,mult(ld(X1,unit),X2)) = ld(X1,mult(X1,X2)),
inference(cp,[status(thm)],[t142,t8]) ).
cnf(t3843,plain,
mult(X1,mult(ld(X1,unit),X2)) = X2,
inference(step,[status(thm)],[t147,t17]) ).
cnf(t155,plain,
mult(X1,mult(ld(X1,unit),X2)) = X2,
inference(orient,[status(thm)],[t3843]) ).
cnf(t158,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(cp,[status(thm)],[t155,t7]) ).
cnf(t170,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t158]) ).
cnf(t4,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)],[t4]) ).
cnf(t19,plain,
X1 = ld(rd(X2,X1),X2),
inference(cp,[status(thm)],[t17,t11]) ).
cnf(t35,plain,
ld(rd(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t19]) ).
cnf(t173,plain,
mult(rd(unit,X1),X2) = ld(X1,X2),
inference(cp,[status(thm)],[t170,t35]) ).
cnf(t196,plain,
mult(rd(unit,X1),X2) = ld(X1,X2),
inference(orient,[status(thm)],[t173]) ).
cnf(t200,plain,
ld(X1,unit) = rd(unit,X1),
inference(cp,[status(thm)],[t196,t8]) ).
cnf(t215,plain,
ld(X1,unit) = rd(unit,X1),
inference(orient,[status(thm)],[t200]) ).
cnf(t218,plain,
unit = mult(X1,rd(unit,X1)),
inference(cp,[status(thm)],[t7,t215]) ).
cnf(t233,plain,
mult(X1,rd(unit,X1)) = unit,
inference(orient,[status(thm)],[t218]) ).
cnf(t242,plain,
mult(mult(X1,X2),rd(unit,ld(X1,X2))) = mult(X1,mult(X1,unit)),
inference(cp,[status(thm)],[t128,t233]) ).
cnf(t3868,plain,
mult(mult(X1,X2),rd(unit,ld(X1,X2))) = mult(X1,X1),
inference(step,[status(thm)],[t242,t8]) ).
cnf(t500,plain,
mult(mult(X1,X2),rd(unit,ld(X1,X2))) = mult(X1,X1),
inference(orient,[status(thm)],[t3868]) ).
cnf(t517,plain,
rd(unit,ld(X1,X2)) = ld(mult(X1,X2),mult(X1,X1)),
inference(cp,[status(thm)],[t17,t500]) ).
cnf(t526,plain,
ld(mult(X1,X2),mult(X1,X1)) = rd(unit,ld(X1,X2)),
inference(orient,[status(thm)],[t517]) ).
cnf(t530,plain,
rd(unit,ld(X1,ld(X1,X2))) = ld(X2,mult(X1,X1)),
inference(cp,[status(thm)],[t526,t7]) ).
cnf(t551,plain,
rd(unit,ld(X1,ld(X1,X2))) = ld(X2,mult(X1,X1)),
inference(orient,[status(thm)],[t530]) ).
cnf(t570,plain,
ld(ld(X1,ld(X1,X2)),X3) = mult(ld(X2,mult(X1,X1)),X3),
inference(cp,[status(thm)],[t196,t551]) ).
cnf(t627,plain,
ld(ld(X1,ld(X1,X2)),X3) = mult(ld(X2,mult(X1,X1)),X3),
inference(orient,[status(thm)],[t570]) ).
cnf(t4004,plain,
mult(X1,mult(X1,X2)) = mult(X3,mult(ld(X3,mult(X1,X1)),X2)),
inference(step,[status(thm)],[t2200,t627]) ).
cnf(t3606,plain,
mult(X1,mult(ld(X1,mult(X2,X2)),X3)) = mult(X2,mult(X2,X3)),
inference(orient,[status(thm)],[t4004]) ).
cnf(t3653,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(cp,[status(thm)],[t128,t3606]) ).
cnf(t3736,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(orient,[status(thm)],[t3653]) ).
cnf(goal_0,negated_conjecture,
mult(mult(a,mult(b,b)),c) != mult(a,mult(b,mult(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(a,mult(b,mult(b,c))) != mult(a,mult(b,mult(b,c))),
inference(rw,[status(thm)],[goal_0,t3736]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP687-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 15:43:18 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.69/0.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.69/0.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------