%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL002-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 02:34:35 PM UTC 2026
% Result : Unsatisfiable 5.36s 1.07s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 11
% Syntax : Number of clauses : 66 ( 66 unt; 0 nHn; 11 RR)
% Number of literals : 66 ( 65 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 74 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t26,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t2,axiom,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t2]) ).
cnf(t28,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(cp,[status(thm)],[t26,t16]) ).
cnf(t249,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(orient,[status(thm)],[t28]) ).
cnf(t10,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t40,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t346,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t10,t40]) ).
cnf(t140,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t346]) ).
cnf(t5,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(orient,[status(thm)],[t5]) ).
cnf(t1,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t14,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t19,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t17,t14]) ).
cnf(t36,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t19]) ).
cnf(t0,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
composition(X1,one) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t37,plain,
composition(converse(one),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t36,t13]) ).
cnf(t336,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t37,t14]) ).
cnf(t49,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t336]) ).
cnf(t50,plain,
one = converse(one),
inference(cp,[status(thm)],[t49,t13]) ).
cnf(t51,plain,
converse(one) = one,
inference(orient,[status(thm)],[t50]) ).
cnf(t148,plain,
complement(X1) = join(complement(X1),composition(one,complement(composition(one,X1)))),
inference(cp,[status(thm)],[t140,t51]) ).
cnf(t337,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t49,t51]) ).
cnf(t52,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t337]) ).
cnf(t56,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t52]) ).
cnf(t355,plain,
complement(X1) = join(complement(X1),complement(composition(one,X1))),
inference(step,[status(thm)],[t148,t56]) ).
cnf(t356,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t355,t56]) ).
cnf(t193,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t356]) ).
cnf(t11,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t351,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t11,t40]) ).
cnf(t172,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(orient,[status(thm)],[t351]) ).
cnf(t196,plain,
X1 = join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))),
inference(cp,[status(thm)],[t172,t193]) ).
cnf(t363,plain,
X1 = join(complement(complement(X1)),complement(top)),
inference(step,[status(thm)],[t196,t16]) ).
cnf(t364,plain,
X1 = join(complement(top),complement(complement(X1))),
inference(step,[status(thm)],[t363,t40]) ).
cnf(u0,axiom,
zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t339,plain,
complement(top) = zero,
inference(step,[status(thm)],[t4,t16]) ).
cnf(t74,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t339]) ).
cnf(t365,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t364,t74]) ).
cnf(t223,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t365]) ).
cnf(t194,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t193,t74]) ).
cnf(t357,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t194,t74]) ).
cnf(t358,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t357,t74]) ).
cnf(t198,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t358]) ).
cnf(t199,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t26,t198]) ).
cnf(t228,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t199]) ).
cnf(t232,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t228,t223]) ).
cnf(t366,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t232,t223]) ).
cnf(t233,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t366]) ).
cnf(t375,plain,
complement(complement(X1)) = X1,
inference(step,[status(thm)],[t223,t233]) ).
cnf(t242,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[t375]) ).
cnf(t282,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t242]) ).
cnf(t286,plain,
complement(complement(X1)) = join(X1,complement(complement(X1))),
inference(cp,[status(thm)],[t193,t282]) ).
cnf(t385,plain,
X1 = join(X1,complement(complement(X1))),
inference(step,[status(thm)],[t286,t282]) ).
cnf(t386,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t385,t282]) ).
cnf(t298,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t386]) ).
cnf(t306,plain,
top = join(X1,join(X1,complement(X1))),
inference(cp,[status(thm)],[t249,t298]) ).
cnf(t392,plain,
top = join(X1,top),
inference(step,[status(thm)],[t306,t16]) ).
cnf(t326,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t392]) ).
cnf(goal_0,negated_conjecture,
join(sk1,top) != top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
top != top,
inference(rw,[status(thm)],[goal_0,t326]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL002-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 07:10:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.36/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/1.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------