%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP609-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 01:27:39 PM UTC 2026
% Result : Unsatisfiable 7.39s 6.53s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 3
% Syntax : Number of clauses : 65 ( 65 unt; 0 nHn; 5 RR)
% Number of literals : 65 ( 64 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t1,axiom,
inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X3)),double_divide(X1,X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t2,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X3)),double_divide(X1,X3))) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t725,plain,
multiply(double_divide(X1,X3),inverse(double_divide(inverse(double_divide(X1,X2)),X3))) = X2,
inference(step,[status(thm)],[t2,t5]) ).
cnf(t726,plain,
multiply(double_divide(X1,X3),multiply(X3,inverse(double_divide(X1,X2)))) = X2,
inference(step,[status(thm)],[t725,t5]) ).
cnf(t727,plain,
multiply(double_divide(X1,X3),multiply(X3,multiply(X2,X1))) = X2,
inference(step,[status(thm)],[t726,t5]) ).
cnf(t6,plain,
multiply(double_divide(X1,X3),multiply(X3,multiply(X2,X1))) = X2,
inference(rw,[status(thm)],[t727]) ).
cnf(t7,plain,
multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3,
inference(orient,[status(thm)],[t6]) ).
cnf(t9,plain,
double_divide(X1,X2) = multiply(double_divide(multiply(X2,multiply(X3,X1)),Y3),multiply(Y3,X3)),
inference(cp,[status(thm)],[t7,t7]) ).
cnf(t15,plain,
multiply(double_divide(multiply(X1,multiply(X2,X3)),Y3),multiply(Y3,X2)) = double_divide(X3,X1),
inference(orient,[status(thm)],[t9]) ).
cnf(t8,plain,
X1 = multiply(double_divide(multiply(X2,X3),double_divide(X3,X1)),X2),
inference(cp,[status(thm)],[t7,t7]) ).
cnf(t10,plain,
multiply(double_divide(multiply(X1,X2),double_divide(X2,X3)),X1) = X3,
inference(orient,[status(thm)],[t8]) ).
cnf(t16,plain,
double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3,
inference(cp,[status(thm)],[t15,t10]) ).
cnf(t29,plain,
double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3,
inference(orient,[status(thm)],[t16]) ).
cnf(t34,plain,
multiply(multiply(double_divide(multiply(X1,X2),X3),X1),X2) = inverse(X3),
inference(cp,[status(thm)],[t5,t29]) ).
cnf(t50,plain,
multiply(multiply(double_divide(multiply(X1,X2),X3),X1),X2) = inverse(X3),
inference(orient,[status(thm)],[t34]) ).
cnf(t30,plain,
X1 = double_divide(multiply(X2,X3),double_divide(X3,multiply(X1,X2))),
inference(cp,[status(thm)],[t29,t15]) ).
cnf(t39,plain,
double_divide(multiply(X1,X2),double_divide(X2,multiply(X3,X1))) = X3,
inference(orient,[status(thm)],[t30]) ).
cnf(t46,plain,
multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2),
inference(cp,[status(thm)],[t5,t39]) ).
cnf(t66,plain,
multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2),
inference(orient,[status(thm)],[t46]) ).
cnf(t75,plain,
X1 = multiply(double_divide(X2,double_divide(X2,multiply(X3,X1))),inverse(X3)),
inference(cp,[status(thm)],[t7,t66]) ).
cnf(t87,plain,
multiply(double_divide(X1,double_divide(X1,multiply(X2,X3))),inverse(X2)) = X3,
inference(orient,[status(thm)],[t75]) ).
cnf(t105,plain,
double_divide(multiply(inverse(X1),X2),multiply(X1,X3)) = double_divide(X2,X3),
inference(cp,[status(thm)],[t29,t87]) ).
cnf(t128,plain,
double_divide(multiply(inverse(X1),X2),multiply(X1,X3)) = double_divide(X2,X3),
inference(orient,[status(thm)],[t105]) ).
cnf(t142,plain,
multiply(X1,X2) = double_divide(X3,multiply(double_divide(X3,X2),inverse(X1))),
inference(cp,[status(thm)],[t29,t128]) ).
cnf(t143,plain,
double_divide(X1,multiply(double_divide(X1,X2),inverse(X3))) = multiply(X3,X2),
inference(orient,[status(thm)],[t142]) ).
cnf(t144,plain,
multiply(X1,double_divide(X2,multiply(X1,X3))) = double_divide(X2,X3),
inference(cp,[status(thm)],[t143,t87]) ).
cnf(t175,plain,
multiply(X1,double_divide(X2,multiply(X1,X3))) = double_divide(X2,X3),
inference(orient,[status(thm)],[t144]) ).
cnf(t176,plain,
double_divide(X1,X2) = multiply(double_divide(multiply(X2,X1),X3),X3),
inference(cp,[status(thm)],[t175,t29]) ).
cnf(t201,plain,
multiply(double_divide(multiply(X1,X2),X3),X3) = double_divide(X2,X1),
inference(orient,[status(thm)],[t176]) ).
cnf(t229,plain,
inverse(X1) = multiply(double_divide(X2,X1),X2),
inference(cp,[status(thm)],[t50,t201]) ).
cnf(t264,plain,
multiply(double_divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t229]) ).
cnf(t203,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(cp,[status(thm)],[t201,t66]) ).
cnf(t233,plain,
inverse(multiply(X1,X2)) = double_divide(X2,X1),
inference(orient,[status(thm)],[t203]) ).
cnf(t272,plain,
multiply(X1,X2) = double_divide(inverse(X1),inverse(X2)),
inference(cp,[status(thm)],[t143,t264]) ).
cnf(t284,plain,
double_divide(inverse(X1),inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t272]) ).
cnf(t236,plain,
double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = inverse(inverse(X3)),
inference(cp,[status(thm)],[t233,t50]) ).
cnf(t730,plain,
X3 = inverse(inverse(X3)),
inference(step,[status(thm)],[t236,t29]) ).
cnf(t246,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t730]) ).
cnf(t285,plain,
multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)),
inference(cp,[status(thm)],[t284,t246]) ).
cnf(t297,plain,
double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2),
inference(orient,[status(thm)],[t285]) ).
cnf(t299,plain,
multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2),
inference(cp,[status(thm)],[t297,t246]) ).
cnf(t311,plain,
multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2),
inference(orient,[status(thm)],[t299]) ).
cnf(t326,plain,
inverse(X1) = double_divide(multiply(inverse(X2),X3),double_divide(X3,double_divide(X1,X2))),
inference(cp,[status(thm)],[t39,t311]) ).
cnf(t145,plain,
multiply(X1,double_divide(X2,X3)) = double_divide(multiply(inverse(X1),X2),X3),
inference(cp,[status(thm)],[t143,t10]) ).
cnf(t157,plain,
double_divide(multiply(inverse(X1),X2),X3) = multiply(X1,double_divide(X2,X3)),
inference(orient,[status(thm)],[t145]) ).
cnf(t732,plain,
inverse(X1) = multiply(X2,double_divide(X3,double_divide(X3,double_divide(X1,X2)))),
inference(step,[status(thm)],[t326,t157]) ).
cnf(t202,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(cp,[status(thm)],[t201,t10]) ).
cnf(t251,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t202]) ).
cnf(t733,plain,
inverse(X1) = multiply(X2,double_divide(X1,X2)),
inference(step,[status(thm)],[t732,t251]) ).
cnf(t346,plain,
multiply(X1,double_divide(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t733]) ).
cnf(t354,plain,
double_divide(double_divide(X1,X2),X2) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t233,t346]) ).
cnf(t734,plain,
double_divide(double_divide(X1,X2),X2) = X1,
inference(step,[status(thm)],[t354,t246]) ).
cnf(t370,plain,
double_divide(double_divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t734]) ).
cnf(t373,plain,
X1 = double_divide(X2,double_divide(X1,X2)),
inference(cp,[status(thm)],[t370,t251]) ).
cnf(t387,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t373]) ).
cnf(t399,plain,
inverse(double_divide(X1,X2)) = multiply(X1,X2),
inference(cp,[status(thm)],[t264,t387]) ).
cnf(t735,plain,
multiply(X2,X1) = multiply(X1,X2),
inference(step,[status(thm)],[t399,t5]) ).
cnf(t490,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t735]) ).
cnf(goal_0,negated_conjecture,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(b1,inverse(b1)) != multiply(inverse(a1),a1),
inference(rw,[status(thm)],[goal_0,t490]) ).
cnf(g0_1,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[g0_0,t490]) ).
cnf(g0_2,plain,
multiply(b1,inverse(b1)) != multiply(b1,inverse(b1)),
inference(rw,[status(thm)],[g0_1]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP609-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.38 % Computer : n020.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 15:13:23 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.39/6.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.39/6.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------