%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP468-1 : 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 01:26:56 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.21s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 3
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 3 RR)
% Number of literals : 64 ( 63 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 174 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
divide(divide(X1,X1),divide(X2,divide(divide(X3,divide(X4,X2)),inverse(X4)))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t2,plain,
divide(divide(X1,X1),divide(X2,divide(divide(X3,divide(X4,X2)),inverse(X4)))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(X1,inverse(X2)) = multiply(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t346,plain,
divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X2)),X4))) = X3,
inference(step,[status(thm)],[t2,t5]) ).
cnf(t6,plain,
divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X2)),X4))) = X3,
inference(rw,[status(thm)],[t346]) ).
cnf(t7,plain,
divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X2)),X4))) = X3,
inference(orient,[status(thm)],[t6]) ).
cnf(t9,plain,
X1 = divide(divide(X2,X2),divide(inverse(X3),multiply(divide(X1,multiply(X4,X3)),X4))),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t20,plain,
divide(divide(X1,X1),divide(inverse(X2),multiply(divide(X3,multiply(X4,X2)),X4))) = X3,
inference(orient,[status(thm)],[t9]) ).
cnf(t10,plain,
divide(X1,X1) = divide(divide(X2,X2),divide(multiply(divide(X3,divide(X4,Y4)),X4),multiply(X3,Y4))),
inference(cp,[status(thm)],[t7,t7]) ).
cnf(t31,plain,
divide(X1,X1) = divide(divide(X2,X2),divide(multiply(divide(X3,divide(X4,Y4)),X4),multiply(X3,Y4))),
inference(orient,[status(thm)],[t10]) ).
cnf(t61,plain,
divide(X1,X1) = divide(X2,X2),
inference(cp,[status(thm)],[t31,t31]) ).
cnf(t62,plain,
divide(X1,X1) = divide(X2,X2),
inference(orient,[status(thm)],[t61]) ).
cnf(t65,plain,
divide(X1,X2) = divide(divide(X3,X3),divide(X2,multiply(divide(X4,X4),X1))),
inference(cp,[status(thm)],[t7,t62]) ).
cnf(t93,plain,
divide(divide(X1,X1),divide(X2,multiply(divide(X3,X3),X4))) = divide(X4,X2),
inference(orient,[status(thm)],[t65]) ).
cnf(t96,plain,
divide(X1,multiply(divide(X2,X2),X1)) = divide(X3,X3),
inference(cp,[status(thm)],[t93,t62]) ).
cnf(t116,plain,
divide(X1,multiply(divide(X2,X2),X1)) = divide(X3,X3),
inference(orient,[status(thm)],[t96]) ).
cnf(t126,plain,
X1 = divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,X3),divide(X4,X4)))),
inference(cp,[status(thm)],[t20,t116]) ).
cnf(t347,plain,
X1 = divide(divide(X4,X4),inverse(X1)),
inference(step,[status(thm)],[t126,t93]) ).
cnf(t348,plain,
X1 = multiply(divide(X4,X4),X1),
inference(step,[status(thm)],[t347,t5]) ).
cnf(t147,plain,
multiply(divide(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t348]) ).
cnf(t151,plain,
divide(X1,X2) = divide(divide(X3,X3),divide(X2,X1)),
inference(cp,[status(thm)],[t7,t147]) ).
cnf(t158,plain,
divide(divide(X1,X1),divide(X2,X3)) = divide(X3,X2),
inference(orient,[status(thm)],[t151]) ).
cnf(t352,plain,
divide(multiply(divide(X3,divide(X4,X2)),X4),X2) = X3,
inference(step,[status(thm)],[t7,t158]) ).
cnf(t168,plain,
divide(multiply(divide(X3,divide(X4,X2)),X4),X2) = X3,
inference(rw,[status(thm)],[t352]) ).
cnf(t163,plain,
divide(inverse(X1),X2) = divide(divide(X3,X3),multiply(X2,X1)),
inference(cp,[status(thm)],[t158,t5]) ).
cnf(t192,plain,
divide(divide(X1,X1),multiply(X2,X3)) = divide(inverse(X3),X2),
inference(orient,[status(thm)],[t163]) ).
cnf(t195,plain,
divide(inverse(X1),divide(X2,X2)) = divide(divide(X3,X3),X1),
inference(cp,[status(thm)],[t192,t147]) ).
cnf(t166,plain,
divide(divide(X1,X2),divide(X3,X3)) = divide(divide(X4,X4),divide(X2,X1)),
inference(cp,[status(thm)],[t158,t158]) ).
cnf(t355,plain,
divide(divide(X1,X2),divide(X3,X3)) = divide(X1,X2),
inference(step,[status(thm)],[t166,t158]) ).
cnf(t170,plain,
divide(divide(X1,X2),divide(X3,X3)) = divide(X1,X2),
inference(orient,[status(thm)],[t355]) ).
cnf(t174,plain,
divide(X1,inverse(X2)) = divide(multiply(X1,X2),divide(X3,X3)),
inference(cp,[status(thm)],[t170,t5]) ).
cnf(t356,plain,
multiply(X1,X2) = divide(multiply(X1,X2),divide(X3,X3)),
inference(step,[status(thm)],[t174,t5]) ).
cnf(t179,plain,
divide(multiply(X1,X2),divide(X3,X3)) = multiply(X1,X2),
inference(orient,[status(thm)],[t356]) ).
cnf(t180,plain,
multiply(divide(X1,X1),X2) = divide(X2,divide(X3,X3)),
inference(cp,[status(thm)],[t179,t147]) ).
cnf(t357,plain,
X2 = divide(X2,divide(X3,X3)),
inference(step,[status(thm)],[t180,t147]) ).
cnf(t185,plain,
divide(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t357]) ).
cnf(t358,plain,
inverse(X1) = divide(divide(X3,X3),X1),
inference(step,[status(thm)],[t195,t185]) ).
cnf(t197,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t358]) ).
cnf(t360,plain,
inverse(divide(X2,X3)) = divide(X3,X2),
inference(step,[status(thm)],[t158,t197]) ).
cnf(t208,plain,
inverse(divide(X2,X3)) = divide(X3,X2),
inference(rw,[status(thm)],[t360]) ).
cnf(t212,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t208]) ).
cnf(t216,plain,
multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t5,t212]) ).
cnf(t231,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t216]) ).
cnf(t363,plain,
divide(multiply(multiply(X3,divide(X2,X4)),X4),X2) = X3,
inference(step,[status(thm)],[t168,t231]) ).
cnf(t260,plain,
divide(multiply(multiply(X1,divide(X2,X3)),X3),X2) = X1,
inference(orient,[status(thm)],[t363]) ).
cnf(t273,plain,
X1 = divide(multiply(multiply(X1,inverse(X2)),X2),divide(X3,X3)),
inference(cp,[status(thm)],[t260,t197]) ).
cnf(t366,plain,
X1 = multiply(multiply(X1,inverse(X2)),X2),
inference(step,[status(thm)],[t273,t179]) ).
cnf(t198,plain,
inverse(inverse(X1)) = multiply(divide(X2,X2),X1),
inference(cp,[status(thm)],[t197,t5]) ).
cnf(t361,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t198,t147]) ).
cnf(t209,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t361]) ).
cnf(t210,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t5,t209]) ).
cnf(t218,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t210]) ).
cnf(t367,plain,
X1 = multiply(divide(X1,X2),X2),
inference(step,[status(thm)],[t366,t218]) ).
cnf(t289,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t367]) ).
cnf(t296,plain,
divide(X1,divide(X2,X3)) = divide(multiply(X1,X3),X2),
inference(cp,[status(thm)],[t260,t289]) ).
cnf(t370,plain,
multiply(X1,divide(X3,X2)) = divide(multiply(X1,X3),X2),
inference(step,[status(thm)],[t296,t231]) ).
cnf(t321,plain,
divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
inference(orient,[status(thm)],[t370]) ).
cnf(t324,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3),
inference(cp,[status(thm)],[t321,t5]) ).
cnf(t372,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
inference(step,[status(thm)],[t324,t5]) ).
cnf(t337,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t372]) ).
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,t337]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP468-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 14:51:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.49/1.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.49/1.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------