%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP525-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 5.62s 11.20s
% Output : CNFRefutation 5.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 20 RR)
% Number of literals : 45 ( 44 equ; 5 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
sFlat0 = inverse(b1),
introduced(definition) ).
cnf(t27,plain,
inverse(b1) = sFlat0,
inference(orient,[status(thm)],[t3]) ).
cnf(t4,axiom,
sFlat1 = multiply(inverse(b1),b1),
introduced(definition) ).
cnf(t186,plain,
sFlat1 = multiply(sFlat0,b1),
inference(step,[status(thm)],[t4,t27]) ).
cnf(t29,plain,
multiply(sFlat0,b1) = sFlat1,
inference(orient,[status(thm)],[t186]) ).
cnf(t5,axiom,
sFlat2 = inverse(a1),
introduced(definition) ).
cnf(t26,plain,
inverse(a1) = sFlat2,
inference(orient,[status(thm)],[t5]) ).
cnf(t6,axiom,
sFlat3 = multiply(inverse(a1),a1),
introduced(definition) ).
cnf(t185,plain,
sFlat3 = multiply(sFlat2,a1),
inference(step,[status(thm)],[t6,t26]) ).
cnf(t28,plain,
multiply(sFlat2,a1) = sFlat3,
inference(orient,[status(thm)],[t185]) ).
cnf(t1,axiom,
divide(X1,divide(divide(X1,X2),divide(X3,X2))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(X1,divide(divide(X1,X2),divide(X3,X2))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t22,plain,
X1 = divide(X2,inverse(divide(X1,X2))),
inference(cp,[status(thm)],[t7,t19]) ).
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t2]) ).
cnf(t184,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t11,t19]) ).
cnf(t25,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t184]) ).
cnf(t30,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t25]) ).
cnf(t205,plain,
X1 = multiply(X2,divide(X1,X2)),
inference(step,[status(thm)],[t22,t30]) ).
cnf(t140,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t205]) ).
cnf(t32,plain,
multiply(X1,a1) = divide(X1,sFlat2),
inference(cp,[status(thm)],[t30,t26]) ).
cnf(t37,plain,
divide(X1,sFlat2) = multiply(X1,a1),
inference(orient,[status(thm)],[t32]) ).
cnf(t39,plain,
inverse(X1) = divide(multiply(sFlat2,a1),X1),
inference(cp,[status(thm)],[t19,t37]) ).
cnf(t187,plain,
inverse(X1) = divide(sFlat3,X1),
inference(step,[status(thm)],[t39,t28]) ).
cnf(t42,plain,
divide(sFlat3,X1) = inverse(X1),
inference(orient,[status(thm)],[t187]) ).
cnf(t156,plain,
sFlat3 = multiply(X1,inverse(X1)),
inference(cp,[status(thm)],[t140,t42]) ).
cnf(t33,plain,
multiply(X1,b1) = divide(X1,sFlat0),
inference(cp,[status(thm)],[t30,t27]) ).
cnf(t50,plain,
divide(X1,sFlat0) = multiply(X1,b1),
inference(orient,[status(thm)],[t33]) ).
cnf(t53,plain,
inverse(X1) = divide(multiply(sFlat0,b1),X1),
inference(cp,[status(thm)],[t19,t50]) ).
cnf(t188,plain,
inverse(X1) = divide(sFlat1,X1),
inference(step,[status(thm)],[t53,t29]) ).
cnf(t57,plain,
divide(sFlat1,X1) = inverse(X1),
inference(orient,[status(thm)],[t188]) ).
cnf(t155,plain,
sFlat1 = multiply(X1,inverse(X1)),
inference(cp,[status(thm)],[t140,t57]) ).
cnf(t159,plain,
multiply(X1,inverse(X1)) = sFlat1,
inference(orient,[status(thm)],[t155]) ).
cnf(t209,plain,
sFlat3 = sFlat1,
inference(step,[status(thm)],[t156,t159]) ).
cnf(t181,plain,
sFlat3 = sFlat1,
inference(orient,[status(thm)],[t209]) ).
cnf(t210,plain,
multiply(sFlat2,a1) = sFlat1,
inference(step,[status(thm)],[t28,t181]) ).
cnf(t182,plain,
multiply(sFlat2,a1) = sFlat1,
inference(orient,[status(thm)],[t210]) ).
cnf(goal_0,negated_conjecture,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(sFlat0,b1) != multiply(inverse(a1),a1),
inference(rw,[status(thm)],[goal_0,t27]) ).
cnf(g0_1,plain,
sFlat1 != multiply(inverse(a1),a1),
inference(rw,[status(thm)],[g0_0,t29]) ).
cnf(g0_2,plain,
sFlat1 != multiply(sFlat2,a1),
inference(rw,[status(thm)],[g0_1,t26]) ).
cnf(g0_3,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_2,t182]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP525-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/10.39 % Computer : n004.cluster.edu
% 0.09/10.39 % Model : x86_64 x86_64
% 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.39 % Memory : 8046.5625MB
% 0.09/10.39 % OS : Linux 6.8.0-71-generic
% 0.09/10.39 % CPULimit : 300
% 0.09/10.39 % WCLimit : 300
% 0.09/10.39 % DateTime : Wed Sep 23 14:59:15 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.09/10.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.62/11.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.62/11.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------