%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP542-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:27:29 PM UTC 2026
% Result : Unsatisfiable 3.89s 1.00s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 22 RR)
% Number of literals : 59 ( 58 equ; 3 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t1,axiom,
divide(identity,X1) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t125,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t13,t21]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t125]) ).
cnf(t29,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t30,plain,
multiply(inverse(X1),X1) = identity,
inference(cp,[status(thm)],[t29,t10]) ).
cnf(t4,axiom,
sFlat0 = inverse(b2),
introduced(definition) ).
cnf(t25,plain,
inverse(b2) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t32,plain,
multiply(X1,b2) = divide(X1,sFlat0),
inference(cp,[status(thm)],[t29,t25]) ).
cnf(t41,plain,
divide(X1,sFlat0) = multiply(X1,b2),
inference(orient,[status(thm)],[t32]) ).
cnf(t42,plain,
multiply(sFlat0,b2) = identity,
inference(cp,[status(thm)],[t41,t10]) ).
cnf(t5,axiom,
sFlat1 = multiply(inverse(b2),b2),
introduced(definition) ).
cnf(t127,plain,
sFlat1 = multiply(sFlat0,b2),
inference(step,[status(thm)],[t5,t25]) ).
cnf(t26,plain,
multiply(sFlat0,b2) = sFlat1,
inference(orient,[status(thm)],[t127]) ).
cnf(t131,plain,
sFlat1 = identity,
inference(step,[status(thm)],[t42,t26]) ).
cnf(t43,plain,
identity = sFlat1,
inference(orient,[status(thm)],[t131]) ).
cnf(t143,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(step,[status(thm)],[t30,t43]) ).
cnf(t59,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(orient,[status(thm)],[t143]) ).
cnf(t3,axiom,
divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t126,plain,
divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(step,[status(thm)],[t7,t21]) ).
cnf(t24,plain,
divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(rw,[status(thm)],[t126]) ).
cnf(t80,plain,
divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(orient,[status(thm)],[t24]) ).
cnf(t132,plain,
divide(X1,X1) = sFlat1,
inference(step,[status(thm)],[t10,t43]) ).
cnf(t44,plain,
divide(X1,X1) = sFlat1,
inference(orient,[status(thm)],[t132]) ).
cnf(t89,plain,
X1 = divide(inverse(divide(sFlat1,X2)),divide(X2,X1)),
inference(cp,[status(thm)],[t80,t44]) ).
cnf(t142,plain,
divide(sFlat1,X1) = inverse(X1),
inference(step,[status(thm)],[t21,t43]) ).
cnf(t51,plain,
divide(sFlat1,X1) = inverse(X1),
inference(rw,[status(thm)],[t142]) ).
cnf(t57,plain,
divide(sFlat1,X1) = inverse(X1),
inference(orient,[status(thm)],[t51]) ).
cnf(t147,plain,
X1 = divide(inverse(inverse(X2)),divide(X2,X1)),
inference(step,[status(thm)],[t89,t57]) ).
cnf(t31,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t29,t21]) ).
cnf(t34,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t31]) ).
cnf(t134,plain,
inverse(inverse(X1)) = multiply(sFlat1,X1),
inference(step,[status(thm)],[t34,t43]) ).
cnf(t46,plain,
inverse(inverse(X1)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t134]) ).
cnf(t148,plain,
X1 = divide(multiply(sFlat1,X2),divide(X2,X1)),
inference(step,[status(thm)],[t147,t46]) ).
cnf(t101,plain,
divide(multiply(sFlat1,X1),divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t148]) ).
cnf(t22,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t21,t10]) ).
cnf(t28,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t22]) ).
cnf(t36,plain,
multiply(identity,identity) = inverse(identity),
inference(cp,[status(thm)],[t34,t28]) ).
cnf(t130,plain,
multiply(identity,identity) = identity,
inference(step,[status(thm)],[t36,t28]) ).
cnf(t39,plain,
multiply(identity,identity) = identity,
inference(orient,[status(thm)],[t130]) ).
cnf(t137,plain,
multiply(sFlat1,identity) = identity,
inference(step,[status(thm)],[t39,t43]) ).
cnf(t138,plain,
multiply(sFlat1,sFlat1) = identity,
inference(step,[status(thm)],[t137,t43]) ).
cnf(t139,plain,
multiply(sFlat1,sFlat1) = sFlat1,
inference(step,[status(thm)],[t138,t43]) ).
cnf(t49,plain,
multiply(sFlat1,sFlat1) = sFlat1,
inference(rw,[status(thm)],[t139]) ).
cnf(t55,plain,
multiply(sFlat1,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t49]) ).
cnf(t104,plain,
X1 = divide(sFlat1,divide(sFlat1,X1)),
inference(cp,[status(thm)],[t101,t55]) ).
cnf(t149,plain,
X1 = inverse(divide(sFlat1,X1)),
inference(step,[status(thm)],[t104,t57]) ).
cnf(t150,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t149,t57]) ).
cnf(t151,plain,
X1 = multiply(sFlat1,X1),
inference(step,[status(thm)],[t150,t46]) ).
cnf(t115,plain,
multiply(sFlat1,X1) = X1,
inference(orient,[status(thm)],[t151]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(sFlat1,a2) != a2,
inference(rw,[status(thm)],[goal_0,t59]) ).
cnf(g0_1,plain,
a2 != a2,
inference(rw,[status(thm)],[g0_0,t115]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP542-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.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 15:04:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/1.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/1.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------