%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL015-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 02:34:44 PM UTC 2026
% Result : Unsatisfiable 5.40s 1.10s
% Output : CNFRefutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 13
% Syntax : Number of clauses : 86 ( 86 unt; 0 nHn; 23 RR)
% Number of literals : 86 ( 85 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 86 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t9,axiom,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t103,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t9]) ).
cnf(t12,axiom,
sF0 = composition(top,top),
introduced(definition) ).
cnf(t15,plain,
composition(top,top) = sF0,
inference(orient,[status(thm)],[t12]) ).
cnf(t105,plain,
composition(join(X1,top),top) = join(composition(X1,top),sF0),
inference(cp,[status(thm)],[t103,t15]) ).
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(t502,plain,
composition(join(X1,top),top) = join(sF0,composition(X1,top)),
inference(step,[status(thm)],[t105,t40]) ).
cnf(t135,plain,
composition(join(X1,top),top) = join(sF0,composition(X1,top)),
inference(orient,[status(thm)],[t502]) ).
cnf(t297,plain,
composition(top,top) = join(sF0,composition(X1,top)),
inference(rw,[status(thm)],[t135]) ).
cnf(t545,plain,
sF0 = join(sF0,composition(X1,top)),
inference(step,[status(thm)],[t297,t15]) ).
cnf(t456,plain,
join(sF0,composition(X1,top)) = sF0,
inference(orient,[status(thm)],[t545]) ).
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(t495,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t37,t14]) ).
cnf(t45,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t495]) ).
cnf(t46,plain,
one = converse(one),
inference(cp,[status(thm)],[t45,t13]) ).
cnf(t47,plain,
converse(one) = one,
inference(orient,[status(thm)],[t46]) ).
cnf(t496,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t45,t47]) ).
cnf(t48,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t496]) ).
cnf(t52,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t48]) ).
cnf(t462,plain,
sF0 = join(sF0,top),
inference(cp,[status(thm)],[t456,t52]) ).
cnf(t8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t27,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/sandbox/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)],[t27,t16]) ).
cnf(t279,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/sandbox/benchmark/theBenchmark.p') ).
cnf(t506,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t10,t40]) ).
cnf(t149,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t506]) ).
cnf(t158,plain,
complement(X1) = join(complement(X1),composition(one,complement(composition(one,X1)))),
inference(cp,[status(thm)],[t149,t47]) ).
cnf(t509,plain,
complement(X1) = join(complement(X1),complement(composition(one,X1))),
inference(step,[status(thm)],[t158,t52]) ).
cnf(t510,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t509,t52]) ).
cnf(t173,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t510]) ).
cnf(t11,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t514,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t11,t40]) ).
cnf(t185,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(orient,[status(thm)],[t514]) ).
cnf(t187,plain,
X1 = join(complement(join(complement(X1),complement(X1))),complement(top)),
inference(cp,[status(thm)],[t185,t16]) ).
cnf(t515,plain,
X1 = join(complement(top),complement(join(complement(X1),complement(X1)))),
inference(step,[status(thm)],[t187,t40]) ).
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(t498,plain,
complement(top) = zero,
inference(step,[status(thm)],[t4,t16]) ).
cnf(t84,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t498]) ).
cnf(t516,plain,
X1 = join(zero,complement(join(complement(X1),complement(X1)))),
inference(step,[status(thm)],[t515,t84]) ).
cnf(t517,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t516,t173]) ).
cnf(t198,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t517]) ).
cnf(t174,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t173,t84]) ).
cnf(t511,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t174,t84]) ).
cnf(t512,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t511,t84]) ).
cnf(t176,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t512]) ).
cnf(t177,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t27,t176]) ).
cnf(t178,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t177]) ).
cnf(t202,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t178,t198]) ).
cnf(t518,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t202,t198]) ).
cnf(t203,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t518]) ).
cnf(t524,plain,
complement(complement(X1)) = X1,
inference(step,[status(thm)],[t198,t203]) ).
cnf(t211,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[t524]) ).
cnf(t222,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t211]) ).
cnf(t225,plain,
complement(complement(X1)) = join(X1,complement(complement(X1))),
inference(cp,[status(thm)],[t173,t222]) ).
cnf(t529,plain,
X1 = join(X1,complement(complement(X1))),
inference(step,[status(thm)],[t225,t222]) ).
cnf(t530,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t529,t222]) ).
cnf(t233,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t530]) ).
cnf(t290,plain,
top = join(X1,join(X1,complement(X1))),
inference(cp,[status(thm)],[t279,t233]) ).
cnf(t535,plain,
top = join(X1,top),
inference(step,[status(thm)],[t290,t16]) ).
cnf(t296,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t535]) ).
cnf(t549,plain,
sF0 = top,
inference(step,[status(thm)],[t462,t296]) ).
cnf(t465,plain,
top = sF0,
inference(orient,[status(thm)],[t549]) ).
cnf(t550,plain,
composition(sF0,top) = sF0,
inference(step,[status(thm)],[t15,t465]) ).
cnf(t551,plain,
composition(sF0,sF0) = sF0,
inference(step,[status(thm)],[t550,t465]) ).
cnf(t466,plain,
composition(sF0,sF0) = sF0,
inference(rw,[status(thm)],[t551]) ).
cnf(t491,plain,
composition(sF0,sF0) = sF0,
inference(orient,[status(thm)],[t466]) ).
cnf(goal_0,negated_conjecture,
composition(top,top) != top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
composition(sF0,top) != top,
inference(rw,[status(thm)],[goal_0,t465]) ).
cnf(g0_1,plain,
composition(sF0,sF0) != top,
inference(rw,[status(thm)],[g0_0,t465]) ).
cnf(g0_2,plain,
sF0 != top,
inference(rw,[status(thm)],[g0_1,t491]) ).
cnf(g0_3,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_2,t465]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL015-1 : 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 : n005.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 07:12:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.40/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.40/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------