%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 01:27:27 PM UTC 2026
% Result : Unsatisfiable 5.06s 1.34s
% Output : CNFRefutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 4
% Syntax : Number of clauses : 70 ( 70 unt; 0 nHn; 3 RR)
% Number of literals : 70 ( 69 equ; 2 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 153 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3,plain,
divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t14,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t16,plain,
inverse(X1) = divide(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t14,t14]) ).
cnf(t28,plain,
divide(inverse(divide(X1,X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t16]) ).
cnf(t29,plain,
inverse(divide(X1,divide(X2,divide(inverse(divide(X3,X3)),X1)))) = X2,
inference(cp,[status(thm)],[t28,t3]) ).
cnf(t552,plain,
inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(step,[status(thm)],[t29,t28]) ).
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t2]) ).
cnf(t551,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t6,t14]) ).
cnf(t20,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t551]) ).
cnf(t21,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t20]) ).
cnf(t553,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(step,[status(thm)],[t552,t21]) ).
cnf(t39,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(orient,[status(thm)],[t553]) ).
cnf(t41,plain,
X1 = inverse(inverse(multiply(X1,divide(X2,X2)))),
inference(cp,[status(thm)],[t39,t14]) ).
cnf(t64,plain,
inverse(inverse(multiply(X1,divide(X2,X2)))) = X1,
inference(orient,[status(thm)],[t41]) ).
cnf(t22,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t21,t14]) ).
cnf(t25,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t22]) ).
cnf(t42,plain,
divide(X1,X1) = inverse(divide(X2,inverse(inverse(X2)))),
inference(cp,[status(thm)],[t39,t25]) ).
cnf(t554,plain,
divide(X1,X1) = inverse(multiply(X2,inverse(X2))),
inference(step,[status(thm)],[t42,t21]) ).
cnf(t104,plain,
divide(X1,X1) = inverse(multiply(X2,inverse(X2))),
inference(orient,[status(thm)],[t554]) ).
cnf(t130,plain,
divide(X1,X1) = divide(X2,X2),
inference(cp,[status(thm)],[t104,t104]) ).
cnf(t131,plain,
divide(X1,X1) = divide(X2,X2),
inference(orient,[status(thm)],[t130]) ).
cnf(t132,plain,
divide(X1,X1) = multiply(inverse(X2),X2),
inference(cp,[status(thm)],[t131,t21]) ).
cnf(t142,plain,
divide(X1,X1) = multiply(inverse(X2),X2),
inference(orient,[status(thm)],[t132]) ).
cnf(t162,plain,
inverse(X1) = inverse(divide(X1,divide(X2,X2))),
inference(cp,[status(thm)],[t39,t142]) ).
cnf(t168,plain,
inverse(divide(X1,divide(X2,X2))) = inverse(X1),
inference(orient,[status(thm)],[t162]) ).
cnf(t178,plain,
inverse(X1) = inverse(divide(X1,inverse(divide(X2,X2)))),
inference(cp,[status(thm)],[t168,t14]) ).
cnf(t555,plain,
inverse(X1) = inverse(multiply(X1,divide(X2,X2))),
inference(step,[status(thm)],[t178,t21]) ).
cnf(t184,plain,
inverse(multiply(X1,divide(X2,X2))) = inverse(X1),
inference(orient,[status(thm)],[t555]) ).
cnf(t556,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t64,t184]) ).
cnf(t197,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[t556]) ).
cnf(t198,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t197]) ).
cnf(t205,plain,
divide(X1,divide(X2,X2)) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t198,t168]) ).
cnf(t563,plain,
divide(X1,divide(X2,X2)) = X1,
inference(step,[status(thm)],[t205,t198]) ).
cnf(t224,plain,
divide(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t563]) ).
cnf(t231,plain,
X1 = divide(X2,divide(X2,X1)),
inference(cp,[status(thm)],[t3,t224]) ).
cnf(t233,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t231]) ).
cnf(t236,plain,
inverse(X1) = divide(X2,multiply(X2,X1)),
inference(cp,[status(thm)],[t233,t21]) ).
cnf(t287,plain,
divide(X1,multiply(X1,X2)) = inverse(X2),
inference(orient,[status(thm)],[t236]) ).
cnf(t207,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t21,t198]) ).
cnf(t210,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t207]) ).
cnf(t232,plain,
X1 = divide(X2,divide(divide(X3,X3),divide(X1,X2))),
inference(cp,[status(thm)],[t3,t224]) ).
cnf(t564,plain,
X1 = divide(X2,inverse(divide(X1,X2))),
inference(step,[status(thm)],[t232,t14]) ).
cnf(t565,plain,
X1 = multiply(X2,divide(X1,X2)),
inference(step,[status(thm)],[t564,t21]) ).
cnf(t239,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t565]) ).
cnf(t240,plain,
X1 = multiply(divide(X1,X2),X2),
inference(cp,[status(thm)],[t239,t233]) ).
cnf(t247,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t240]) ).
cnf(t254,plain,
divide(X1,X2) = inverse(divide(X2,X1)),
inference(cp,[status(thm)],[t39,t247]) ).
cnf(t255,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t254]) ).
cnf(t261,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t210,t255]) ).
cnf(t336,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t261]) ).
cnf(t570,plain,
multiply(X1,divide(divide(X3,divide(X1,X2)),X2)) = X3,
inference(step,[status(thm)],[t3,t336]) ).
cnf(t571,plain,
multiply(X1,divide(multiply(X3,divide(X2,X1)),X2)) = X3,
inference(step,[status(thm)],[t570,t336]) ).
cnf(t347,plain,
multiply(X1,divide(multiply(X3,divide(X2,X1)),X2)) = X3,
inference(rw,[status(thm)],[t571]) ).
cnf(t428,plain,
multiply(X1,divide(multiply(X2,divide(X3,X1)),X3)) = X2,
inference(orient,[status(thm)],[t347]) ).
cnf(t449,plain,
inverse(divide(multiply(X1,divide(X2,X3)),X2)) = divide(X3,X1),
inference(cp,[status(thm)],[t287,t428]) ).
cnf(t574,plain,
divide(X2,multiply(X1,divide(X2,X3))) = divide(X3,X1),
inference(step,[status(thm)],[t449,t255]) ).
cnf(t455,plain,
divide(X1,multiply(X2,divide(X1,X3))) = divide(X3,X2),
inference(orient,[status(thm)],[t574]) ).
cnf(t463,plain,
divide(multiply(X1,X2),X3) = divide(X1,multiply(X3,inverse(X2))),
inference(cp,[status(thm)],[t455,t287]) ).
cnf(t575,plain,
divide(multiply(X1,X2),X3) = divide(X1,divide(X3,X2)),
inference(step,[status(thm)],[t463,t210]) ).
cnf(t576,plain,
divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
inference(step,[status(thm)],[t575,t336]) ).
cnf(t486,plain,
divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
inference(orient,[status(thm)],[t576]) ).
cnf(t491,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3),
inference(cp,[status(thm)],[t486,t21]) ).
cnf(t580,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
inference(step,[status(thm)],[t491,t21]) ).
cnf(t534,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t580]) ).
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(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t534]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.56 % Computer : n026.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.57 % DateTime : Wed Sep 23 15:01:25 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.06/1.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.06/1.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------