%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP535-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 4.77s 1.18s
% Output : CNFRefutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 5
% Syntax : Number of clauses : 75 ( 75 unt; 0 nHn; 7 RR)
% Number of literals : 75 ( 74 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
divide(divide(X1,divide(divide(X1,X2),X3)),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
divide(divide(X1,divide(divide(X1,X2),X3)),X2) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t9,plain,
X1 = divide(divide(X2,divide(identity,X1)),X2),
inference(cp,[status(thm)],[t4,t7]) ).
cnf(t1,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t307,plain,
divide(identity,X2) = inverse(X2),
inference(step,[status(thm)],[t1,t7]) ).
cnf(t17,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t307]) ).
cnf(t318,plain,
X1 = divide(divide(X2,inverse(X1)),X2),
inference(step,[status(thm)],[t9,t17]) ).
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t306,plain,
divide(X1,divide(identity,X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t2,t7]) ).
cnf(t10,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t306]) ).
cnf(t308,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t10,t17]) ).
cnf(t21,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t308]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t21]) ).
cnf(t319,plain,
X1 = divide(multiply(X2,X1),X2),
inference(step,[status(thm)],[t318,t23]) ).
cnf(t68,plain,
divide(multiply(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t319]) ).
cnf(t25,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t23,t17]) ).
cnf(t30,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t25]) ).
cnf(t32,plain,
multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)),
inference(cp,[status(thm)],[t23,t30]) ).
cnf(t64,plain,
divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t32]) ).
cnf(t18,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t17,t7]) ).
cnf(t22,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t18]) ).
cnf(t27,plain,
multiply(X1,identity) = divide(X1,identity),
inference(cp,[status(thm)],[t23,t22]) ).
cnf(t35,plain,
divide(X1,identity) = multiply(X1,identity),
inference(orient,[status(thm)],[t27]) ).
cnf(t8,plain,
divide(X1,X2) = divide(divide(X1,identity),X2),
inference(cp,[status(thm)],[t4,t7]) ).
cnf(t310,plain,
divide(X1,X2) = divide(multiply(X1,identity),X2),
inference(step,[status(thm)],[t8,t35]) ).
cnf(t44,plain,
divide(multiply(X1,identity),X2) = divide(X1,X2),
inference(orient,[status(thm)],[t310]) ).
cnf(t45,plain,
divide(X1,multiply(X1,identity)) = identity,
inference(cp,[status(thm)],[t44,t7]) ).
cnf(t48,plain,
divide(X1,multiply(X1,identity)) = identity,
inference(orient,[status(thm)],[t45]) ).
cnf(t50,plain,
multiply(divide(X1,X2),identity) = divide(divide(X1,identity),X2),
inference(cp,[status(thm)],[t4,t48]) ).
cnf(t313,plain,
multiply(divide(X1,X2),identity) = divide(multiply(X1,identity),X2),
inference(step,[status(thm)],[t50,t35]) ).
cnf(t314,plain,
multiply(divide(X1,X2),identity) = divide(X1,X2),
inference(step,[status(thm)],[t313,t44]) ).
cnf(t54,plain,
multiply(divide(X1,X2),identity) = divide(X1,X2),
inference(orient,[status(thm)],[t314]) ).
cnf(t57,plain,
divide(divide(X1,divide(divide(X1,X2),X3)),X2) = multiply(X3,identity),
inference(cp,[status(thm)],[t54,t4]) ).
cnf(t315,plain,
X3 = multiply(X3,identity),
inference(step,[status(thm)],[t57,t4]) ).
cnf(t58,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t315]) ).
cnf(t316,plain,
divide(X1,identity) = X1,
inference(step,[status(thm)],[t35,t58]) ).
cnf(t59,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t316]) ).
cnf(t70,plain,
X1 = multiply(identity,X1),
inference(cp,[status(thm)],[t68,t59]) ).
cnf(t75,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t70]) ).
cnf(t322,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(step,[status(thm)],[t64,t75]) ).
cnf(t78,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[t322]) ).
cnf(t81,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t78]) ).
cnf(t82,plain,
inverse(X1) = divide(divide(X2,X1),X2),
inference(cp,[status(thm)],[t68,t81]) ).
cnf(t83,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t82]) ).
cnf(t88,plain,
X1 = divide(divide(X1,inverse(X2)),X2),
inference(cp,[status(thm)],[t4,t83]) ).
cnf(t324,plain,
X1 = divide(multiply(X1,X2),X2),
inference(step,[status(thm)],[t88,t23]) ).
cnf(t90,plain,
divide(multiply(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t324]) ).
cnf(t91,plain,
X1 = multiply(multiply(X1,inverse(X2)),X2),
inference(cp,[status(thm)],[t90,t23]) ).
cnf(t325,plain,
X1 = multiply(divide(X1,X2),X2),
inference(step,[status(thm)],[t91,t81]) ).
cnf(t95,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t325]) ).
cnf(t96,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(cp,[status(thm)],[t95,t68]) ).
cnf(t136,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t96]) ).
cnf(t99,plain,
X1 = divide(X2,divide(X2,X1)),
inference(cp,[status(thm)],[t68,t95]) ).
cnf(t103,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t99]) ).
cnf(t106,plain,
X1 = multiply(X2,divide(X1,X2)),
inference(cp,[status(thm)],[t95,t103]) ).
cnf(t118,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t106]) ).
cnf(t107,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(cp,[status(thm)],[t83,t103]) ).
cnf(t110,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t107]) ).
cnf(t115,plain,
multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t23,t110]) ).
cnf(t154,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t115]) ).
cnf(t327,plain,
divide(multiply(X1,divide(X3,divide(X1,X2))),X2) = X3,
inference(step,[status(thm)],[t4,t154]) ).
cnf(t328,plain,
divide(multiply(X1,multiply(X3,divide(X2,X1))),X2) = X3,
inference(step,[status(thm)],[t327,t154]) ).
cnf(t162,plain,
divide(multiply(X1,multiply(X3,divide(X2,X1))),X2) = X3,
inference(rw,[status(thm)],[t328]) ).
cnf(t225,plain,
divide(multiply(X1,multiply(X2,divide(X3,X1))),X3) = X2,
inference(orient,[status(thm)],[t162]) ).
cnf(t246,plain,
multiply(X1,multiply(X2,divide(X3,X1))) = multiply(X3,X2),
inference(cp,[status(thm)],[t118,t225]) ).
cnf(t254,plain,
multiply(X1,multiply(X2,divide(X3,X1))) = multiply(X3,X2),
inference(orient,[status(thm)],[t246]) ).
cnf(t268,plain,
multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X3,X1)),
inference(cp,[status(thm)],[t254,t90]) ).
cnf(t281,plain,
multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X3,X1)),
inference(orient,[status(thm)],[t268]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3)),
inference(rw,[status(thm)],[goal_0,t136]) ).
cnf(g0_1,plain,
multiply(multiply(b3,c3),a3) != multiply(c3,multiply(a3,b3)),
inference(rw,[status(thm)],[g0_0,t136]) ).
cnf(g0_2,plain,
multiply(c3,multiply(a3,b3)) != multiply(c3,multiply(a3,b3)),
inference(rw,[status(thm)],[g0_1,t281]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP535-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 15:05:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.77/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.77/1.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------