%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 3.17s 0.83s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 4
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 4 RR)
% Number of literals : 54 ( 53 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t328,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t7,t15]) ).
cnf(t21,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t328]) ).
cnf(t22,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t21]) ).
cnf(t2,axiom,
divide(divide(X1,divide(X2,X3)),divide(X1,X2)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
divide(divide(X1,divide(X2,X3)),divide(X1,X2)) = X3,
inference(orient,[status(thm)],[t2]) ).
cnf(t16,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(cp,[status(thm)],[t15,t3]) ).
cnf(t30,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t16]) ).
cnf(t31,plain,
X1 = inverse(inverse(X1)),
inference(cp,[status(thm)],[t30,t15]) ).
cnf(t37,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t31]) ).
cnf(t41,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t22,t37]) ).
cnf(t42,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t41]) ).
cnf(t40,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(cp,[status(thm)],[t37,t30]) ).
cnf(t44,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t40]) ).
cnf(t46,plain,
inverse(inverse(X1)) = divide(multiply(X2,X1),X2),
inference(cp,[status(thm)],[t44,t22]) ).
cnf(t331,plain,
X1 = divide(multiply(X2,X1),X2),
inference(step,[status(thm)],[t46,t37]) ).
cnf(t53,plain,
divide(multiply(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t331]) ).
cnf(t23,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t22,t15]) ).
cnf(t27,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t23]) ).
cnf(t329,plain,
multiply(divide(X1,X1),X2) = X2,
inference(step,[status(thm)],[t27,t37]) ).
cnf(t38,plain,
multiply(divide(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t329]) ).
cnf(t55,plain,
X1 = divide(X1,divide(X2,X2)),
inference(cp,[status(thm)],[t53,t38]) ).
cnf(t60,plain,
divide(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t55]) ).
cnf(t61,plain,
divide(X1,divide(X1,X2)) = X2,
inference(cp,[status(thm)],[t60,t3]) ).
cnf(t68,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t61]) ).
cnf(t74,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(cp,[status(thm)],[t44,t68]) ).
cnf(t77,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t74]) ).
cnf(t81,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t42,t77]) ).
cnf(t154,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t81]) ).
cnf(t156,plain,
multiply(multiply(divide(X1,X2),X3),divide(X2,X1)) = X3,
inference(cp,[status(thm)],[t154,t53]) ).
cnf(t72,plain,
X1 = divide(divide(X1,X2),inverse(X2)),
inference(cp,[status(thm)],[t68,t44]) ).
cnf(t333,plain,
X1 = multiply(divide(X1,X2),X2),
inference(step,[status(thm)],[t72,t22]) ).
cnf(t96,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t333]) ).
cnf(t98,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(cp,[status(thm)],[t96,t53]) ).
cnf(t133,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t98]) ).
cnf(t338,plain,
multiply(divide(X2,X1),multiply(divide(X1,X2),X3)) = X3,
inference(step,[status(thm)],[t156,t133]) ).
cnf(t203,plain,
multiply(divide(X1,X2),multiply(divide(X2,X1),X3)) = X3,
inference(orient,[status(thm)],[t338]) ).
cnf(t335,plain,
multiply(divide(X1,divide(X2,X3)),divide(X2,X1)) = X3,
inference(step,[status(thm)],[t3,t154]) ).
cnf(t336,plain,
multiply(multiply(X1,divide(X3,X2)),divide(X2,X1)) = X3,
inference(step,[status(thm)],[t335,t154]) ).
cnf(t165,plain,
multiply(multiply(X1,divide(X3,X2)),divide(X2,X1)) = X3,
inference(rw,[status(thm)],[t336]) ).
cnf(t339,plain,
multiply(divide(X2,X1),multiply(X1,divide(X3,X2))) = X3,
inference(step,[status(thm)],[t165,t133]) ).
cnf(t245,plain,
multiply(divide(X1,X2),multiply(X2,divide(X3,X1))) = X3,
inference(orient,[status(thm)],[t339]) ).
cnf(t276,plain,
multiply(X1,divide(X2,X3)) = multiply(divide(X1,X3),X2),
inference(cp,[status(thm)],[t203,t245]) ).
cnf(t277,plain,
multiply(divide(X1,X2),X3) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t276]) ).
cnf(t285,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X3),X2),
inference(cp,[status(thm)],[t277,t22]) ).
cnf(t344,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2),
inference(step,[status(thm)],[t285,t22]) ).
cnf(t314,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X3,X2)),
inference(orient,[status(thm)],[t344]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t314]) ).
cnf(g0_1,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3)),
inference(rw,[status(thm)],[g0_0,t133]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 15:00:25 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.17/0.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/0.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------