%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL001-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 4.68s 1.14s
% Output : CNFRefutation 4.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 11 RR)
% Number of literals : 54 ( 53 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 : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t10,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t40,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t318,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t10,t40]) ).
cnf(t141,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t318]) ).
cnf(t5,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(t309,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t37,t14]) ).
cnf(t46,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t309]) ).
cnf(t47,plain,
one = converse(one),
inference(cp,[status(thm)],[t46,t13]) ).
cnf(t48,plain,
converse(one) = one,
inference(orient,[status(thm)],[t47]) ).
cnf(t149,plain,
complement(X1) = join(complement(X1),composition(one,complement(composition(one,X1)))),
inference(cp,[status(thm)],[t141,t48]) ).
cnf(t310,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t46,t48]) ).
cnf(t49,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t310]) ).
cnf(t53,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t49]) ).
cnf(t330,plain,
complement(X1) = join(complement(X1),complement(composition(one,X1))),
inference(step,[status(thm)],[t149,t53]) ).
cnf(t331,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t330,t53]) ).
cnf(t199,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t331]) ).
cnf(u0,axiom,
zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t2,axiom,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t2]) ).
cnf(t312,plain,
complement(top) = zero,
inference(step,[status(thm)],[t4,t16]) ).
cnf(t79,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t312]) ).
cnf(t200,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t199,t79]) ).
cnf(t332,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t200,t79]) ).
cnf(t333,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t332,t79]) ).
cnf(t204,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t333]) ).
cnf(t205,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t26,t204]) ).
cnf(t245,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t205]) ).
cnf(t11,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t325,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t11,t40]) ).
cnf(t176,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(orient,[status(thm)],[t325]) ).
cnf(t202,plain,
X1 = join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))),
inference(cp,[status(thm)],[t176,t199]) ).
cnf(t338,plain,
X1 = join(complement(complement(X1)),complement(top)),
inference(step,[status(thm)],[t202,t16]) ).
cnf(t339,plain,
X1 = join(complement(top),complement(complement(X1))),
inference(step,[status(thm)],[t338,t40]) ).
cnf(t340,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t339,t79]) ).
cnf(t240,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t340]) ).
cnf(t250,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t245,t240]) ).
cnf(t341,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t250,t240]) ).
cnf(t289,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t341]) ).
cnf(goal_0,negated_conjecture,
join(zero,sk1) != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
sk1 != sk1,
inference(rw,[status(thm)],[goal_0,t289]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL001-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n008.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 : Thu Sep 24 07:06:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.68/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/1.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------