%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP534-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 01:27:28 PM UTC 2026
% Result : Unsatisfiable 4.55s 1.18s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of clauses : 71 ( 71 unt; 0 nHn; 26 RR)
% Number of literals : 71 ( 70 equ; 4 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t123,plain,
divide(X1,divide(identity,X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t2,t10]) ).
cnf(t13,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t123]) ).
cnf(t1,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t124,plain,
divide(identity,X2) = inverse(X2),
inference(step,[status(thm)],[t1,t10]) ).
cnf(t20,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t124]) ).
cnf(t125,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t13,t20]) ).
cnf(t24,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t125]) ).
cnf(t29,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t24]) ).
cnf(t30,plain,
multiply(inverse(X1),X1) = identity,
inference(cp,[status(thm)],[t29,t10]) ).
cnf(t4,axiom,
sFlat0 = inverse(b2),
introduced(definition) ).
cnf(t25,plain,
inverse(b2) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t33,plain,
multiply(X1,b2) = divide(X1,sFlat0),
inference(cp,[status(thm)],[t29,t25]) ).
cnf(t44,plain,
divide(X1,sFlat0) = multiply(X1,b2),
inference(orient,[status(thm)],[t33]) ).
cnf(t45,plain,
multiply(sFlat0,b2) = identity,
inference(cp,[status(thm)],[t44,t10]) ).
cnf(t5,axiom,
sFlat1 = multiply(inverse(b2),b2),
introduced(definition) ).
cnf(t126,plain,
sFlat1 = multiply(sFlat0,b2),
inference(step,[status(thm)],[t5,t25]) ).
cnf(t26,plain,
multiply(sFlat0,b2) = sFlat1,
inference(orient,[status(thm)],[t126]) ).
cnf(t130,plain,
sFlat1 = identity,
inference(step,[status(thm)],[t45,t26]) ).
cnf(t49,plain,
identity = sFlat1,
inference(orient,[status(thm)],[t130]) ).
cnf(t142,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(step,[status(thm)],[t30,t49]) ).
cnf(t70,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(orient,[status(thm)],[t142]) ).
cnf(t3,axiom,
divide(divide(X1,divide(divide(X1,X2),X3)),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(divide(X1,divide(divide(X1,X2),X3)),X2) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(t12,plain,
X1 = divide(divide(X2,divide(identity,X1)),X2),
inference(cp,[status(thm)],[t7,t10]) ).
cnf(t156,plain,
X1 = divide(divide(X2,divide(sFlat1,X1)),X2),
inference(step,[status(thm)],[t12,t49]) ).
cnf(t141,plain,
divide(sFlat1,X1) = inverse(X1),
inference(step,[status(thm)],[t20,t49]) ).
cnf(t57,plain,
divide(sFlat1,X1) = inverse(X1),
inference(rw,[status(thm)],[t141]) ).
cnf(t63,plain,
divide(sFlat1,X1) = inverse(X1),
inference(orient,[status(thm)],[t57]) ).
cnf(t157,plain,
X1 = divide(divide(X2,inverse(X1)),X2),
inference(step,[status(thm)],[t156,t63]) ).
cnf(t158,plain,
X1 = divide(multiply(X2,X1),X2),
inference(step,[status(thm)],[t157,t29]) ).
cnf(t108,plain,
divide(multiply(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t158]) ).
cnf(t6,axiom,
sFlat2 = multiply(multiply(inverse(b2),b2),a2),
introduced(definition) ).
cnf(t127,plain,
sFlat2 = multiply(multiply(sFlat0,b2),a2),
inference(step,[status(thm)],[t6,t25]) ).
cnf(t128,plain,
sFlat2 = multiply(sFlat1,a2),
inference(step,[status(thm)],[t127,t26]) ).
cnf(t27,plain,
multiply(sFlat1,a2) = sFlat2,
inference(orient,[status(thm)],[t128]) ).
cnf(t118,plain,
a2 = divide(sFlat2,sFlat1),
inference(cp,[status(thm)],[t108,t27]) ).
cnf(t21,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t20,t10]) ).
cnf(t28,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t21]) ).
cnf(t139,plain,
inverse(sFlat1) = identity,
inference(step,[status(thm)],[t28,t49]) ).
cnf(t140,plain,
inverse(sFlat1) = sFlat1,
inference(step,[status(thm)],[t139,t49]) ).
cnf(t56,plain,
inverse(sFlat1) = sFlat1,
inference(rw,[status(thm)],[t140]) ).
cnf(t58,plain,
inverse(sFlat1) = sFlat1,
inference(orient,[status(thm)],[t56]) ).
cnf(t59,plain,
multiply(X1,sFlat1) = divide(X1,sFlat1),
inference(cp,[status(thm)],[t29,t58]) ).
cnf(t66,plain,
divide(X1,sFlat1) = multiply(X1,sFlat1),
inference(orient,[status(thm)],[t59]) ).
cnf(t11,plain,
divide(X1,X2) = divide(divide(X1,identity),X2),
inference(cp,[status(thm)],[t7,t10]) ).
cnf(t145,plain,
divide(X1,X2) = divide(divide(X1,sFlat1),X2),
inference(step,[status(thm)],[t11,t49]) ).
cnf(t146,plain,
divide(X1,X2) = divide(multiply(X1,sFlat1),X2),
inference(step,[status(thm)],[t145,t66]) ).
cnf(t77,plain,
divide(multiply(X1,sFlat1),X2) = divide(X1,X2),
inference(orient,[status(thm)],[t146]) ).
cnf(t131,plain,
divide(X1,X1) = sFlat1,
inference(step,[status(thm)],[t10,t49]) ).
cnf(t50,plain,
divide(X1,X1) = sFlat1,
inference(orient,[status(thm)],[t131]) ).
cnf(t78,plain,
divide(X1,multiply(X1,sFlat1)) = sFlat1,
inference(cp,[status(thm)],[t77,t50]) ).
cnf(t82,plain,
divide(X1,multiply(X1,sFlat1)) = sFlat1,
inference(orient,[status(thm)],[t78]) ).
cnf(t84,plain,
multiply(divide(X1,X2),sFlat1) = divide(divide(X1,sFlat1),X2),
inference(cp,[status(thm)],[t7,t82]) ).
cnf(t150,plain,
multiply(divide(X1,X2),sFlat1) = divide(multiply(X1,sFlat1),X2),
inference(step,[status(thm)],[t84,t66]) ).
cnf(t151,plain,
multiply(divide(X1,X2),sFlat1) = divide(X1,X2),
inference(step,[status(thm)],[t150,t77]) ).
cnf(t89,plain,
multiply(divide(X1,X2),sFlat1) = divide(X1,X2),
inference(orient,[status(thm)],[t151]) ).
cnf(t93,plain,
divide(divide(X1,divide(divide(X1,X2),X3)),X2) = multiply(X3,sFlat1),
inference(cp,[status(thm)],[t89,t7]) ).
cnf(t152,plain,
X3 = multiply(X3,sFlat1),
inference(step,[status(thm)],[t93,t7]) ).
cnf(t94,plain,
multiply(X1,sFlat1) = X1,
inference(orient,[status(thm)],[t152]) ).
cnf(t153,plain,
divide(X1,sFlat1) = X1,
inference(step,[status(thm)],[t66,t94]) ).
cnf(t95,plain,
divide(X1,sFlat1) = X1,
inference(orient,[status(thm)],[t153]) ).
cnf(t159,plain,
a2 = sFlat2,
inference(step,[status(thm)],[t118,t95]) ).
cnf(t120,plain,
a2 = sFlat2,
inference(orient,[status(thm)],[t159]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(multiply(inverse(b2),b2),a2) != multiply(sFlat1,a2),
inference(rw,[status(thm)],[goal_0,t70]) ).
cnf(g0_1,plain,
multiply(multiply(inverse(b2),b2),a2) != sFlat2,
inference(rw,[status(thm)],[g0_0]) ).
cnf(g0_2,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_1,t120]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP534-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 15:00:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.55/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.55/1.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------