%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP522-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 01:27:26 PM UTC 2026
% Result : Unsatisfiable 4.90s 1.40s
% Output : CNFRefutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 11 RR)
% Number of literals : 61 ( 60 equ; 3 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 : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t2]) ).
cnf(t147,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t9,t17]) ).
cnf(t23,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t147]) ).
cnf(t27,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t3,axiom,
sFlat0 = inverse(b2),
introduced(definition) ).
cnf(t24,plain,
inverse(b2) = sFlat0,
inference(orient,[status(thm)],[t3]) ).
cnf(t29,plain,
multiply(X1,b2) = divide(X1,sFlat0),
inference(cp,[status(thm)],[t27,t24]) ).
cnf(t32,plain,
divide(X1,sFlat0) = multiply(X1,b2),
inference(orient,[status(thm)],[t29]) ).
cnf(t34,plain,
inverse(X1) = divide(multiply(sFlat0,b2),X1),
inference(cp,[status(thm)],[t17,t32]) ).
cnf(t4,axiom,
sFlat1 = multiply(inverse(b2),b2),
introduced(definition) ).
cnf(t148,plain,
sFlat1 = multiply(sFlat0,b2),
inference(step,[status(thm)],[t4,t24]) ).
cnf(t25,plain,
multiply(sFlat0,b2) = sFlat1,
inference(orient,[status(thm)],[t148]) ).
cnf(t151,plain,
inverse(X1) = divide(sFlat1,X1),
inference(step,[status(thm)],[t34,t25]) ).
cnf(t36,plain,
divide(sFlat1,X1) = inverse(X1),
inference(orient,[status(thm)],[t151]) ).
cnf(t1,axiom,
divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6,plain,
divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t38,plain,
inverse(divide(X1,divide(X2,divide(sFlat1,X1)))) = X2,
inference(cp,[status(thm)],[t36,t6]) ).
cnf(t157,plain,
inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(step,[status(thm)],[t38,t36]) ).
cnf(t158,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(step,[status(thm)],[t157,t27]) ).
cnf(t82,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(orient,[status(thm)],[t158]) ).
cnf(t28,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t27,t17]) ).
cnf(t39,plain,
inverse(inverse(X1)) = multiply(sFlat1,X1),
inference(cp,[status(thm)],[t36,t27]) ).
cnf(t45,plain,
inverse(inverse(X1)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t39]) ).
cnf(t155,plain,
multiply(divide(X1,X1),X2) = multiply(sFlat1,X2),
inference(step,[status(thm)],[t28,t45]) ).
cnf(t76,plain,
multiply(divide(X1,X1),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t155]) ).
cnf(t88,plain,
divide(X1,X1) = inverse(divide(X2,multiply(sFlat1,X2))),
inference(cp,[status(thm)],[t82,t76]) ).
cnf(t161,plain,
divide(X1,X1) = sFlat1,
inference(step,[status(thm)],[t88,t82]) ).
cnf(t100,plain,
divide(X1,X1) = sFlat1,
inference(orient,[status(thm)],[t161]) ).
cnf(t101,plain,
sFlat1 = multiply(inverse(X1),X1),
inference(cp,[status(thm)],[t100,t27]) ).
cnf(t115,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(orient,[status(thm)],[t101]) ).
cnf(t46,plain,
multiply(sFlat1,inverse(X1)) = inverse(multiply(sFlat1,X1)),
inference(cp,[status(thm)],[t45,t45]) ).
cnf(t58,plain,
inverse(multiply(sFlat1,X1)) = multiply(sFlat1,inverse(X1)),
inference(orient,[status(thm)],[t46]) ).
cnf(t85,plain,
X1 = inverse(inverse(multiply(X1,sFlat1))),
inference(cp,[status(thm)],[t82,t36]) ).
cnf(t165,plain,
X1 = multiply(sFlat1,multiply(X1,sFlat1)),
inference(step,[status(thm)],[t85,t45]) ).
cnf(t127,plain,
multiply(sFlat1,multiply(X1,sFlat1)) = X1,
inference(orient,[status(thm)],[t165]) ).
cnf(t128,plain,
multiply(sFlat1,inverse(multiply(X1,sFlat1))) = inverse(X1),
inference(cp,[status(thm)],[t58,t127]) ).
cnf(t122,plain,
inverse(X1) = inverse(divide(X1,sFlat1)),
inference(cp,[status(thm)],[t82,t115]) ).
cnf(t40,plain,
inverse(X1) = divide(inverse(sFlat1),X1),
inference(cp,[status(thm)],[t17,t36]) ).
cnf(t48,plain,
divide(inverse(sFlat1),X1) = inverse(X1),
inference(orient,[status(thm)],[t40]) ).
cnf(t51,plain,
inverse(inverse(X1)) = multiply(inverse(sFlat1),X1),
inference(cp,[status(thm)],[t48,t27]) ).
cnf(t152,plain,
multiply(sFlat1,X1) = multiply(inverse(sFlat1),X1),
inference(step,[status(thm)],[t51,t45]) ).
cnf(t57,plain,
multiply(inverse(sFlat1),X1) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t152]) ).
cnf(t89,plain,
inverse(sFlat1) = inverse(divide(X1,multiply(sFlat1,X1))),
inference(cp,[status(thm)],[t82,t57]) ).
cnf(t159,plain,
inverse(sFlat1) = sFlat1,
inference(step,[status(thm)],[t89,t82]) ).
cnf(t96,plain,
inverse(sFlat1) = sFlat1,
inference(orient,[status(thm)],[t159]) ).
cnf(t98,plain,
multiply(X1,sFlat1) = divide(X1,sFlat1),
inference(cp,[status(thm)],[t27,t96]) ).
cnf(t104,plain,
divide(X1,sFlat1) = multiply(X1,sFlat1),
inference(orient,[status(thm)],[t98]) ).
cnf(t164,plain,
inverse(X1) = inverse(multiply(X1,sFlat1)),
inference(step,[status(thm)],[t122,t104]) ).
cnf(t123,plain,
inverse(multiply(X1,sFlat1)) = inverse(X1),
inference(orient,[status(thm)],[t164]) ).
cnf(t166,plain,
multiply(sFlat1,inverse(X1)) = inverse(X1),
inference(step,[status(thm)],[t128,t123]) ).
cnf(t130,plain,
multiply(sFlat1,inverse(X1)) = inverse(X1),
inference(orient,[status(thm)],[t166]) ).
cnf(t133,plain,
inverse(divide(X1,multiply(X2,X1))) = multiply(sFlat1,X2),
inference(cp,[status(thm)],[t130,t82]) ).
cnf(t170,plain,
X2 = multiply(sFlat1,X2),
inference(step,[status(thm)],[t133,t82]) ).
cnf(t141,plain,
multiply(sFlat1,X1) = X1,
inference(orient,[status(thm)],[t170]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(sFlat1,a2) != a2,
inference(rw,[status(thm)],[goal_0,t115]) ).
cnf(g0_1,plain,
a2 != a2,
inference(rw,[status(thm)],[g0_0,t141]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP522-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 15:01:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.90/1.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.90/1.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------