%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL032-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 02:35:54 PM UTC 2026
% Result : Unsatisfiable 42.87s 16.47s
% Output : CNFRefutation 42.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 25
% Syntax : Number of clauses : 337 ( 337 unt; 0 nHn; 187 RR)
% Number of literals : 337 ( 336 equ; 20 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 : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 211 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t12,axiom,
sF0 = complement(sk2),
introduced(definition) ).
cnf(t24,plain,
complement(sk2) = sF0,
inference(orient,[status(thm)],[t12]) ).
cnf(t13,axiom,
sF1 = complement(sk3),
introduced(definition) ).
cnf(t25,plain,
complement(sk3) = sF1,
inference(orient,[status(thm)],[t13]) ).
cnf(t14,axiom,
sF2 = join(complement(sk2),complement(sk3)),
introduced(definition) ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t37,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t33599,plain,
sF2 = join(complement(sk3),complement(sk2)),
inference(step,[status(thm)],[t14,t37]) ).
cnf(t33600,plain,
sF2 = join(sF1,complement(sk2)),
inference(step,[status(thm)],[t33599,t25]) ).
cnf(t33601,plain,
sF2 = join(sF1,sF0),
inference(step,[status(thm)],[t33600,t24]) ).
cnf(t33602,plain,
sF2 = join(sF0,sF1),
inference(step,[status(thm)],[t33601,t37]) ).
cnf(t78,plain,
join(sF0,sF1) = sF2,
inference(orient,[status(thm)],[t33602]) ).
cnf(t15,axiom,
sF3 = complement(join(complement(sk2),complement(sk3))),
introduced(definition) ).
cnf(t33609,plain,
sF3 = complement(join(complement(sk3),complement(sk2))),
inference(step,[status(thm)],[t15,t37]) ).
cnf(t33610,plain,
sF3 = complement(join(sF1,complement(sk2))),
inference(step,[status(thm)],[t33609,t25]) ).
cnf(t33611,plain,
sF3 = complement(join(sF1,sF0)),
inference(step,[status(thm)],[t33610,t24]) ).
cnf(t33612,plain,
sF3 = complement(join(sF0,sF1)),
inference(step,[status(thm)],[t33611,t37]) ).
cnf(t33613,plain,
sF3 = complement(sF2),
inference(step,[status(thm)],[t33612,t78]) ).
cnf(t243,plain,
complement(sF2) = sF3,
inference(orient,[status(thm)],[t33613]) ).
cnf(t16,axiom,
sF4 = composition(sk1,complement(join(complement(sk2),complement(sk3)))),
introduced(definition) ).
cnf(t33624,plain,
sF4 = composition(sk1,complement(join(complement(sk3),complement(sk2)))),
inference(step,[status(thm)],[t16,t37]) ).
cnf(t33625,plain,
sF4 = composition(sk1,complement(join(sF1,complement(sk2)))),
inference(step,[status(thm)],[t33624,t25]) ).
cnf(t33626,plain,
sF4 = composition(sk1,complement(join(sF1,sF0))),
inference(step,[status(thm)],[t33625,t24]) ).
cnf(t33627,plain,
sF4 = composition(sk1,complement(join(sF0,sF1))),
inference(step,[status(thm)],[t33626,t37]) ).
cnf(t33628,plain,
sF4 = composition(sk1,complement(sF2)),
inference(step,[status(thm)],[t33627,t78]) ).
cnf(t33629,plain,
sF4 = composition(sk1,sF3),
inference(step,[status(thm)],[t33628,t243]) ).
cnf(t286,plain,
composition(sk1,sF3) = sF4,
inference(orient,[status(thm)],[t33629]) ).
cnf(t17,axiom,
sF5 = composition(sk1,sk2),
introduced(definition) ).
cnf(t28,plain,
composition(sk1,sk2) = sF5,
inference(orient,[status(thm)],[t17]) ).
cnf(t18,axiom,
sF6 = complement(composition(sk1,sk2)),
introduced(definition) ).
cnf(t33593,plain,
sF6 = complement(sF5),
inference(step,[status(thm)],[t18,t28]) ).
cnf(t35,plain,
complement(sF5) = sF6,
inference(orient,[status(thm)],[t33593]) ).
cnf(t19,axiom,
sF7 = composition(sk1,sk3),
introduced(definition) ).
cnf(t29,plain,
composition(sk1,sk3) = sF7,
inference(orient,[status(thm)],[t19]) ).
cnf(t20,axiom,
sF8 = complement(composition(sk1,sk3)),
introduced(definition) ).
cnf(t33596,plain,
sF8 = complement(sF7),
inference(step,[status(thm)],[t20,t29]) ).
cnf(t47,plain,
complement(sF7) = sF8,
inference(orient,[status(thm)],[t33596]) ).
cnf(t21,axiom,
sF9 = join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))),
introduced(definition) ).
cnf(t33642,plain,
sF9 = join(complement(composition(sk1,sk3)),complement(composition(sk1,sk2))),
inference(step,[status(thm)],[t21,t37]) ).
cnf(t33643,plain,
sF9 = join(complement(sF7),complement(composition(sk1,sk2))),
inference(step,[status(thm)],[t33642,t29]) ).
cnf(t33644,plain,
sF9 = join(sF8,complement(composition(sk1,sk2))),
inference(step,[status(thm)],[t33643,t47]) ).
cnf(t33645,plain,
sF9 = join(sF8,complement(sF5)),
inference(step,[status(thm)],[t33644,t28]) ).
cnf(t33646,plain,
sF9 = join(sF8,sF6),
inference(step,[status(thm)],[t33645,t35]) ).
cnf(t33647,plain,
sF9 = join(sF6,sF8),
inference(step,[status(thm)],[t33646,t37]) ).
cnf(t314,plain,
join(sF6,sF8) = sF9,
inference(orient,[status(thm)],[t33647]) ).
cnf(t22,axiom,
sF10 = complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
introduced(definition) ).
cnf(t33655,plain,
sF10 = complement(join(complement(composition(sk1,sk3)),complement(composition(sk1,sk2)))),
inference(step,[status(thm)],[t22,t37]) ).
cnf(t33656,plain,
sF10 = complement(join(complement(sF7),complement(composition(sk1,sk2)))),
inference(step,[status(thm)],[t33655,t29]) ).
cnf(t33657,plain,
sF10 = complement(join(sF8,complement(composition(sk1,sk2)))),
inference(step,[status(thm)],[t33656,t47]) ).
cnf(t33658,plain,
sF10 = complement(join(sF8,complement(sF5))),
inference(step,[status(thm)],[t33657,t28]) ).
cnf(t33659,plain,
sF10 = complement(join(sF8,sF6)),
inference(step,[status(thm)],[t33658,t35]) ).
cnf(t33660,plain,
sF10 = complement(join(sF6,sF8)),
inference(step,[status(thm)],[t33659,t37]) ).
cnf(t33661,plain,
sF10 = complement(sF9),
inference(step,[status(thm)],[t33660,t314]) ).
cnf(t340,plain,
complement(sF9) = sF10,
inference(orient,[status(thm)],[t33661]) ).
cnf(t23,axiom,
sF11 = join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
introduced(definition) ).
cnf(t33673,plain,
sF11 = join(composition(sk1,complement(join(complement(sk3),complement(sk2)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t23,t37]) ).
cnf(t33674,plain,
sF11 = join(composition(sk1,complement(join(sF1,complement(sk2)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t33673,t25]) ).
cnf(t33675,plain,
sF11 = join(composition(sk1,complement(join(sF1,sF0))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t33674,t24]) ).
cnf(t33676,plain,
sF11 = join(composition(sk1,complement(join(sF0,sF1))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t33675,t37]) ).
cnf(t33677,plain,
sF11 = join(composition(sk1,complement(sF2)),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t33676,t78]) ).
cnf(t33678,plain,
sF11 = join(composition(sk1,sF3),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t33677,t243]) ).
cnf(t33679,plain,
sF11 = join(sF4,complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t33678,t286]) ).
cnf(t33680,plain,
sF11 = join(sF4,complement(join(complement(composition(sk1,sk3)),complement(composition(sk1,sk2))))),
inference(step,[status(thm)],[t33679,t37]) ).
cnf(t33681,plain,
sF11 = join(sF4,complement(join(complement(sF7),complement(composition(sk1,sk2))))),
inference(step,[status(thm)],[t33680,t29]) ).
cnf(t33682,plain,
sF11 = join(sF4,complement(join(sF8,complement(composition(sk1,sk2))))),
inference(step,[status(thm)],[t33681,t47]) ).
cnf(t33683,plain,
sF11 = join(sF4,complement(join(sF8,complement(sF5)))),
inference(step,[status(thm)],[t33682,t28]) ).
cnf(t33684,plain,
sF11 = join(sF4,complement(join(sF8,sF6))),
inference(step,[status(thm)],[t33683,t35]) ).
cnf(t33685,plain,
sF11 = join(sF4,complement(join(sF6,sF8))),
inference(step,[status(thm)],[t33684,t37]) ).
cnf(t33686,plain,
sF11 = join(sF4,complement(sF9)),
inference(step,[status(thm)],[t33685,t314]) ).
cnf(t33687,plain,
sF11 = join(sF4,sF10),
inference(step,[status(thm)],[t33686,t340]) ).
cnf(t373,plain,
join(sF4,sF10) = sF11,
inference(orient,[status(thm)],[t33687]) ).
cnf(t11,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t33607,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t11,t37]) ).
cnf(t192,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(orient,[status(thm)],[t33607]) ).
cnf(t205,plain,
X1 = join(complement(join(complement(X1),sF7)),complement(join(complement(X1),sF8))),
inference(cp,[status(thm)],[t192,t47]) ).
cnf(t33990,plain,
X1 = join(complement(join(sF7,complement(X1))),complement(join(complement(X1),sF8))),
inference(step,[status(thm)],[t205,t37]) ).
cnf(t33991,plain,
X1 = join(complement(join(sF7,complement(X1))),complement(join(sF8,complement(X1)))),
inference(step,[status(thm)],[t33990,t37]) ).
cnf(t5205,plain,
join(complement(join(sF7,complement(X1))),complement(join(sF8,complement(X1)))) = X1,
inference(orient,[status(thm)],[t33991]) ).
cnf(t8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t67,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t71,plain,
join(X1,join(X2,X3)) = join(join(X2,X1),X3),
inference(cp,[status(thm)],[t67,t37]) ).
cnf(t33738,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(step,[status(thm)],[t71,t67]) ).
cnf(t664,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(orient,[status(thm)],[t33738]) ).
cnf(t694,plain,
join(sF4,join(X1,sF10)) = join(X1,sF11),
inference(cp,[status(thm)],[t664,t373]) ).
cnf(t1812,plain,
join(sF4,join(X1,sF10)) = join(X1,sF11),
inference(orient,[status(thm)],[t694]) ).
cnf(t10,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t33606,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t10,t37]) ).
cnf(t144,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t33606]) ).
cnf(t5,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t55,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(t27,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t57,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t55,t27]) ).
cnf(t86,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t57]) ).
cnf(t0,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
composition(X1,one) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t87,plain,
composition(converse(one),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t86,t26]) ).
cnf(t33603,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t87,t27]) ).
cnf(t101,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t33603]) ).
cnf(t102,plain,
one = converse(one),
inference(cp,[status(thm)],[t101,t26]) ).
cnf(t105,plain,
converse(one) = one,
inference(orient,[status(thm)],[t102]) ).
cnf(t159,plain,
complement(X1) = join(complement(X1),composition(one,complement(composition(one,X1)))),
inference(cp,[status(thm)],[t144,t105]) ).
cnf(t33604,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t101,t105]) ).
cnf(t106,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t33604]) ).
cnf(t110,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t106]) ).
cnf(t33616,plain,
complement(X1) = join(complement(X1),complement(composition(one,X1))),
inference(step,[status(thm)],[t159,t110]) ).
cnf(t33617,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t33616,t110]) ).
cnf(t268,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t33617]) ).
cnf(t276,plain,
X1 = join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))),
inference(cp,[status(thm)],[t192,t268]) ).
cnf(t2,axiom,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t30,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t2]) ).
cnf(t33746,plain,
X1 = join(complement(complement(X1)),complement(top)),
inference(step,[status(thm)],[t276,t30]) ).
cnf(t33747,plain,
X1 = join(complement(top),complement(complement(X1))),
inference(step,[status(thm)],[t33746,t37]) ).
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(t33597,plain,
complement(top) = zero,
inference(step,[status(thm)],[t4,t30]) ).
cnf(t51,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t33597]) ).
cnf(t33748,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t33747,t51]) ).
cnf(t829,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t33748]) ).
cnf(t273,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t268,t51]) ).
cnf(t33632,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t273,t51]) ).
cnf(t33633,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t33632,t51]) ).
cnf(t294,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t33633]) ).
cnf(t295,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t67,t294]) ).
cnf(t1020,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t295]) ).
cnf(t1024,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t1020,t829]) ).
cnf(t33755,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t1024,t829]) ).
cnf(t1027,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t33755]) ).
cnf(t33757,plain,
complement(complement(X1)) = X1,
inference(step,[status(thm)],[t829,t1027]) ).
cnf(t1029,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[t33757]) ).
cnf(t1118,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t1029]) ).
cnf(t1122,plain,
complement(complement(X1)) = join(X1,complement(complement(X1))),
inference(cp,[status(thm)],[t268,t1118]) ).
cnf(t33774,plain,
X1 = join(X1,complement(complement(X1))),
inference(step,[status(thm)],[t1122,t1118]) ).
cnf(t33775,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t33774,t1118]) ).
cnf(t1169,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t33775]) ).
cnf(t1185,plain,
join(X1,X2) = join(X1,join(join(X1,X2),X2)),
inference(cp,[status(thm)],[t1169,t664]) ).
cnf(t33839,plain,
join(X1,X2) = join(X1,join(X1,join(X2,X2))),
inference(step,[status(thm)],[t1185,t67]) ).
cnf(t33840,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(step,[status(thm)],[t33839,t1169]) ).
cnf(t2041,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t33840]) ).
cnf(t200,plain,
X1 = join(complement(join(complement(X1),sF5)),complement(join(complement(X1),sF6))),
inference(cp,[status(thm)],[t192,t35]) ).
cnf(t33968,plain,
X1 = join(complement(join(sF5,complement(X1))),complement(join(complement(X1),sF6))),
inference(step,[status(thm)],[t200,t37]) ).
cnf(t33969,plain,
X1 = join(complement(join(sF5,complement(X1))),complement(join(sF6,complement(X1)))),
inference(step,[status(thm)],[t33968,t37]) ).
cnf(t4836,plain,
join(complement(join(sF5,complement(X1))),complement(join(sF6,complement(X1)))) = X1,
inference(orient,[status(thm)],[t33969]) ).
cnf(t4842,plain,
sF7 = join(complement(join(sF5,sF8)),complement(join(sF6,complement(sF7)))),
inference(cp,[status(thm)],[t4836,t47]) ).
cnf(t34018,plain,
sF7 = join(complement(join(sF5,sF8)),complement(join(sF6,sF8))),
inference(step,[status(thm)],[t4842,t47]) ).
cnf(t34019,plain,
sF7 = join(complement(join(sF5,sF8)),complement(sF9)),
inference(step,[status(thm)],[t34018,t314]) ).
cnf(t34020,plain,
sF7 = join(complement(sF9),complement(join(sF5,sF8))),
inference(step,[status(thm)],[t34019,t37]) ).
cnf(t34021,plain,
sF7 = join(sF10,complement(join(sF5,sF8))),
inference(step,[status(thm)],[t34020,t340]) ).
cnf(t5803,plain,
join(sF10,complement(join(sF5,sF8))) = sF7,
inference(orient,[status(thm)],[t34021]) ).
cnf(t5813,plain,
join(sF10,complement(join(sF5,sF8))) = join(sF10,sF7),
inference(cp,[status(thm)],[t2041,t5803]) ).
cnf(t34022,plain,
sF7 = join(sF10,sF7),
inference(step,[status(thm)],[t5813,t5803]) ).
cnf(t34023,plain,
sF7 = join(sF7,sF10),
inference(step,[status(thm)],[t34022,t37]) ).
cnf(t5819,plain,
join(sF7,sF10) = sF7,
inference(orient,[status(thm)],[t34023]) ).
cnf(t5827,plain,
join(sF7,sF11) = join(sF4,sF7),
inference(cp,[status(thm)],[t1812,t5819]) ).
cnf(t5851,plain,
join(sF7,sF11) = join(sF4,sF7),
inference(orient,[status(thm)],[t5827]) ).
cnf(t5853,plain,
join(sF7,join(sF11,X1)) = join(join(sF4,sF7),X1),
inference(cp,[status(thm)],[t67,t5851]) ).
cnf(t34026,plain,
join(sF7,join(sF11,X1)) = join(sF4,join(sF7,X1)),
inference(step,[status(thm)],[t5853,t67]) ).
cnf(t5917,plain,
join(sF7,join(sF11,X1)) = join(sF4,join(sF7,X1)),
inference(orient,[status(thm)],[t34026]) ).
cnf(t5918,plain,
join(sF4,join(sF7,complement(sF11))) = join(sF7,top),
inference(cp,[status(thm)],[t5917,t30]) ).
cnf(t68,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(cp,[status(thm)],[t67,t30]) ).
cnf(t454,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(orient,[status(thm)],[t68]) ).
cnf(t470,plain,
top = join(complement(X1),join(complement(X1),complement(complement(X1)))),
inference(cp,[status(thm)],[t454,t268]) ).
cnf(t33698,plain,
top = join(complement(X1),top),
inference(step,[status(thm)],[t470,t30]) ).
cnf(t33699,plain,
top = join(top,complement(X1)),
inference(step,[status(thm)],[t33698,t37]) ).
cnf(t509,plain,
join(top,complement(X1)) = top,
inference(orient,[status(thm)],[t33699]) ).
cnf(t522,plain,
top = join(X1,top),
inference(cp,[status(thm)],[t454,t509]) ).
cnf(t553,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t522]) ).
cnf(t34075,plain,
join(sF4,join(sF7,complement(sF11))) = top,
inference(step,[status(thm)],[t5918,t553]) ).
cnf(t7326,plain,
join(sF4,join(sF7,complement(sF11))) = top,
inference(orient,[status(thm)],[t34075]) ).
cnf(t6,axiom,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t58,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t6]) ).
cnf(t59,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(cp,[status(thm)],[t58,t27]) ).
cnf(t130,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(orient,[status(thm)],[t59]) ).
cnf(t137,plain,
composition(converse(X1),join(converse(X2),X3)) = converse(composition(join(X2,converse(X3)),X1)),
inference(cp,[status(thm)],[t86,t130]) ).
cnf(t2599,plain,
converse(composition(join(X1,converse(X2)),X3)) = composition(converse(X3),join(converse(X1),X2)),
inference(orient,[status(thm)],[t137]) ).
cnf(t9,axiom,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t90,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t9]) ).
cnf(t96,plain,
composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))),
inference(cp,[status(thm)],[t90,t55]) ).
cnf(t1240,plain,
join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)),
inference(orient,[status(thm)],[t96]) ).
cnf(t1242,plain,
composition(join(converse(sk3),X1),converse(sk1)) = join(converse(sF7),composition(X1,converse(sk1))),
inference(cp,[status(thm)],[t1240,t29]) ).
cnf(t32619,plain,
composition(join(converse(sk3),X1),converse(sk1)) = join(converse(sF7),composition(X1,converse(sk1))),
inference(orient,[status(thm)],[t1242]) ).
cnf(t32674,plain,
composition(converse(converse(sk1)),join(converse(converse(sk3)),X1)) = converse(join(converse(sF7),composition(converse(X1),converse(sk1)))),
inference(cp,[status(thm)],[t2599,t32619]) ).
cnf(t34441,plain,
composition(sk1,join(converse(converse(sk3)),X1)) = converse(join(converse(sF7),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t32674,t27]) ).
cnf(t34442,plain,
composition(sk1,join(sk3,X1)) = converse(join(converse(sF7),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t34441,t27]) ).
cnf(t34443,plain,
composition(sk1,join(sk3,X1)) = join(sF7,converse(composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t34442,t130]) ).
cnf(t56,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(cp,[status(thm)],[t55,t27]) ).
cnf(t81,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(orient,[status(thm)],[t56]) ).
cnf(t34444,plain,
composition(sk1,join(sk3,X1)) = join(sF7,composition(sk1,converse(converse(X1)))),
inference(step,[status(thm)],[t34443,t81]) ).
cnf(t34445,plain,
composition(sk1,join(sk3,X1)) = join(sF7,composition(sk1,X1)),
inference(step,[status(thm)],[t34444,t27]) ).
cnf(t32732,plain,
composition(sk1,join(sk3,X1)) = join(sF7,composition(sk1,X1)),
inference(orient,[status(thm)],[t34445]) ).
cnf(t70,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t67,t37]) ).
cnf(t573,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t70]) ).
cnf(t587,plain,
join(composition(converse(X1),complement(composition(X1,X2))),join(X3,complement(X2))) = join(X3,complement(X2)),
inference(cp,[status(thm)],[t573,t144]) ).
cnf(t34235,plain,
join(complement(X2),join(composition(converse(X1),complement(composition(X1,X2))),X3)) = join(X3,complement(X2)),
inference(step,[status(thm)],[t587,t573]) ).
cnf(t164,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(cp,[status(thm)],[t67,t144]) ).
cnf(t4102,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(orient,[status(thm)],[t164]) ).
cnf(t34236,plain,
join(complement(X2),X3) = join(X3,complement(X2)),
inference(step,[status(thm)],[t34235,t4102]) ).
cnf(t15155,plain,
join(complement(X1),X2) = join(X2,complement(X1)),
inference(orient,[status(thm)],[t34236]) ).
cnf(t15161,plain,
join(X1,complement(sF2)) = join(sF3,X1),
inference(cp,[status(thm)],[t15155,t243]) ).
cnf(t34237,plain,
join(X1,sF3) = join(sF3,X1),
inference(step,[status(thm)],[t15161,t243]) ).
cnf(t15175,plain,
join(X1,sF3) = join(sF3,X1),
inference(orient,[status(thm)],[t34237]) ).
cnf(t32767,plain,
join(sF7,composition(sk1,sF3)) = composition(sk1,join(sF3,sk3)),
inference(cp,[status(thm)],[t32732,t15175]) ).
cnf(t34446,plain,
join(sF7,sF4) = composition(sk1,join(sF3,sk3)),
inference(step,[status(thm)],[t32767,t286]) ).
cnf(t34447,plain,
join(sF4,sF7) = composition(sk1,join(sF3,sk3)),
inference(step,[status(thm)],[t34446,t37]) ).
cnf(t194,plain,
X1 = join(complement(join(complement(X1),sk2)),complement(join(complement(X1),sF0))),
inference(cp,[status(thm)],[t192,t24]) ).
cnf(t33956,plain,
X1 = join(complement(join(complement(X1),sF0)),complement(join(complement(X1),sk2))),
inference(step,[status(thm)],[t194,t37]) ).
cnf(t33957,plain,
X1 = join(complement(join(sF0,complement(X1))),complement(join(complement(X1),sk2))),
inference(step,[status(thm)],[t33956,t37]) ).
cnf(t33958,plain,
X1 = join(complement(join(sF0,complement(X1))),complement(join(sk2,complement(X1)))),
inference(step,[status(thm)],[t33957,t37]) ).
cnf(t4597,plain,
join(complement(join(sF0,complement(X1))),complement(join(sk2,complement(X1)))) = X1,
inference(orient,[status(thm)],[t33958]) ).
cnf(t4599,plain,
sk3 = join(complement(join(sF0,sF1)),complement(join(sk2,complement(sk3)))),
inference(cp,[status(thm)],[t4597,t25]) ).
cnf(t33983,plain,
sk3 = join(complement(sF2),complement(join(sk2,complement(sk3)))),
inference(step,[status(thm)],[t4599,t78]) ).
cnf(t33984,plain,
sk3 = join(sF3,complement(join(sk2,complement(sk3)))),
inference(step,[status(thm)],[t33983,t243]) ).
cnf(t33985,plain,
sk3 = join(sF3,complement(join(sk2,sF1))),
inference(step,[status(thm)],[t33984,t25]) ).
cnf(t33986,plain,
sk3 = join(sF3,complement(join(sF1,sk2))),
inference(step,[status(thm)],[t33985,t37]) ).
cnf(t5160,plain,
join(sF3,complement(join(sF1,sk2))) = sk3,
inference(orient,[status(thm)],[t33986]) ).
cnf(t5169,plain,
join(sF3,complement(join(sF1,sk2))) = join(sF3,sk3),
inference(cp,[status(thm)],[t2041,t5160]) ).
cnf(t33987,plain,
sk3 = join(sF3,sk3),
inference(step,[status(thm)],[t5169,t5160]) ).
cnf(t5172,plain,
join(sF3,sk3) = sk3,
inference(orient,[status(thm)],[t33987]) ).
cnf(t34448,plain,
join(sF4,sF7) = composition(sk1,sk3),
inference(step,[status(thm)],[t34447,t5172]) ).
cnf(t34449,plain,
join(sF4,sF7) = sF7,
inference(step,[status(thm)],[t34448,t29]) ).
cnf(t32810,plain,
join(sF4,sF7) = sF7,
inference(orient,[status(thm)],[t34449]) ).
cnf(t32819,plain,
join(sF4,join(sF7,X1)) = join(sF7,X1),
inference(cp,[status(thm)],[t67,t32810]) ).
cnf(t33393,plain,
join(sF4,join(sF7,X1)) = join(sF7,X1),
inference(orient,[status(thm)],[t32819]) ).
cnf(t34463,plain,
join(sF7,complement(sF11)) = top,
inference(step,[status(thm)],[t7326,t33393]) ).
cnf(t33398,plain,
join(sF7,complement(sF11)) = top,
inference(rw,[status(thm)],[t34463]) ).
cnf(t33475,plain,
join(sF7,complement(sF11)) = top,
inference(orient,[status(thm)],[t33398]) ).
cnf(t33484,plain,
sF11 = join(complement(top),complement(join(sF8,complement(sF11)))),
inference(cp,[status(thm)],[t5205,t33475]) ).
cnf(t34464,plain,
sF11 = join(zero,complement(join(sF8,complement(sF11)))),
inference(step,[status(thm)],[t33484,t51]) ).
cnf(t34465,plain,
sF11 = complement(join(sF8,complement(sF11))),
inference(step,[status(thm)],[t34464,t1027]) ).
cnf(t199,plain,
sF5 = join(complement(join(sF6,X1)),complement(join(complement(sF5),complement(X1)))),
inference(cp,[status(thm)],[t192,t35]) ).
cnf(t33967,plain,
sF5 = join(complement(join(sF6,X1)),complement(join(sF6,complement(X1)))),
inference(step,[status(thm)],[t199,t35]) ).
cnf(t4774,plain,
join(complement(join(sF6,X1)),complement(join(sF6,complement(X1)))) = sF5,
inference(orient,[status(thm)],[t33967]) ).
cnf(t4781,plain,
sF5 = join(complement(join(sF6,sF7)),complement(join(sF6,sF8))),
inference(cp,[status(thm)],[t4774,t47]) ).
cnf(t33999,plain,
sF5 = join(complement(join(sF6,sF7)),complement(sF9)),
inference(step,[status(thm)],[t4781,t314]) ).
cnf(t34000,plain,
sF5 = join(complement(sF9),complement(join(sF6,sF7))),
inference(step,[status(thm)],[t33999,t37]) ).
cnf(t34001,plain,
sF5 = join(sF10,complement(join(sF6,sF7))),
inference(step,[status(thm)],[t34000,t340]) ).
cnf(t5364,plain,
join(sF10,complement(join(sF6,sF7))) = sF5,
inference(orient,[status(thm)],[t34001]) ).
cnf(t5375,plain,
join(sF10,complement(join(sF6,sF7))) = join(sF10,sF5),
inference(cp,[status(thm)],[t2041,t5364]) ).
cnf(t34002,plain,
sF5 = join(sF10,sF5),
inference(step,[status(thm)],[t5375,t5364]) ).
cnf(t34003,plain,
sF5 = join(sF5,sF10),
inference(step,[status(thm)],[t34002,t37]) ).
cnf(t5379,plain,
join(sF5,sF10) = sF5,
inference(orient,[status(thm)],[t34003]) ).
cnf(t5387,plain,
join(sF5,sF11) = join(sF4,sF5),
inference(cp,[status(thm)],[t1812,t5379]) ).
cnf(t5462,plain,
join(sF5,sF11) = join(sF4,sF5),
inference(orient,[status(thm)],[t5387]) ).
cnf(t5464,plain,
join(sF5,join(sF11,X1)) = join(join(sF4,sF5),X1),
inference(cp,[status(thm)],[t67,t5462]) ).
cnf(t34009,plain,
join(sF5,join(sF11,X1)) = join(sF4,join(sF5,X1)),
inference(step,[status(thm)],[t5464,t67]) ).
cnf(t5527,plain,
join(sF5,join(sF11,X1)) = join(sF4,join(sF5,X1)),
inference(orient,[status(thm)],[t34009]) ).
cnf(t5528,plain,
join(sF4,join(sF5,complement(sF11))) = join(sF5,top),
inference(cp,[status(thm)],[t5527,t30]) ).
cnf(t34056,plain,
join(sF4,join(sF5,complement(sF11))) = top,
inference(step,[status(thm)],[t5528,t553]) ).
cnf(t7015,plain,
join(sF4,join(sF5,complement(sF11))) = top,
inference(orient,[status(thm)],[t34056]) ).
cnf(t1241,plain,
composition(join(converse(sk2),X1),converse(sk1)) = join(converse(sF5),composition(X1,converse(sk1))),
inference(cp,[status(thm)],[t1240,t28]) ).
cnf(t26609,plain,
composition(join(converse(sk2),X1),converse(sk1)) = join(converse(sF5),composition(X1,converse(sk1))),
inference(orient,[status(thm)],[t1241]) ).
cnf(t26663,plain,
composition(converse(converse(sk1)),join(converse(converse(sk2)),X1)) = converse(join(converse(sF5),composition(converse(X1),converse(sk1)))),
inference(cp,[status(thm)],[t2599,t26609]) ).
cnf(t34336,plain,
composition(sk1,join(converse(converse(sk2)),X1)) = converse(join(converse(sF5),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t26663,t27]) ).
cnf(t34337,plain,
composition(sk1,join(sk2,X1)) = converse(join(converse(sF5),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t34336,t27]) ).
cnf(t34338,plain,
composition(sk1,join(sk2,X1)) = join(sF5,converse(composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t34337,t130]) ).
cnf(t34339,plain,
composition(sk1,join(sk2,X1)) = join(sF5,composition(sk1,converse(converse(X1)))),
inference(step,[status(thm)],[t34338,t81]) ).
cnf(t34340,plain,
composition(sk1,join(sk2,X1)) = join(sF5,composition(sk1,X1)),
inference(step,[status(thm)],[t34339,t27]) ).
cnf(t26706,plain,
composition(sk1,join(sk2,X1)) = join(sF5,composition(sk1,X1)),
inference(orient,[status(thm)],[t34340]) ).
cnf(t26741,plain,
join(sF5,composition(sk1,sF3)) = composition(sk1,join(sF3,sk2)),
inference(cp,[status(thm)],[t26706,t15175]) ).
cnf(t34341,plain,
join(sF5,sF4) = composition(sk1,join(sF3,sk2)),
inference(step,[status(thm)],[t26741,t286]) ).
cnf(t34342,plain,
join(sF4,sF5) = composition(sk1,join(sF3,sk2)),
inference(step,[status(thm)],[t34341,t37]) ).
cnf(t193,plain,
sk2 = join(complement(join(sF0,X1)),complement(join(complement(sk2),complement(X1)))),
inference(cp,[status(thm)],[t192,t24]) ).
cnf(t33951,plain,
sk2 = join(complement(join(sF0,X1)),complement(join(sF0,complement(X1)))),
inference(step,[status(thm)],[t193,t24]) ).
cnf(t4530,plain,
join(complement(join(sF0,X1)),complement(join(sF0,complement(X1)))) = sk2,
inference(orient,[status(thm)],[t33951]) ).
cnf(t4531,plain,
sk2 = join(complement(join(sF0,sk3)),complement(join(sF0,sF1))),
inference(cp,[status(thm)],[t4530,t25]) ).
cnf(t33970,plain,
sk2 = join(complement(join(sF0,sF1)),complement(join(sF0,sk3))),
inference(step,[status(thm)],[t4531,t37]) ).
cnf(t33971,plain,
sk2 = join(complement(sF2),complement(join(sF0,sk3))),
inference(step,[status(thm)],[t33970,t78]) ).
cnf(t33972,plain,
sk2 = join(sF3,complement(join(sF0,sk3))),
inference(step,[status(thm)],[t33971,t243]) ).
cnf(t4877,plain,
join(sF3,complement(join(sF0,sk3))) = sk2,
inference(orient,[status(thm)],[t33972]) ).
cnf(t4886,plain,
join(sF3,complement(join(sF0,sk3))) = join(sF3,sk2),
inference(cp,[status(thm)],[t2041,t4877]) ).
cnf(t33973,plain,
sk2 = join(sF3,sk2),
inference(step,[status(thm)],[t4886,t4877]) ).
cnf(t4888,plain,
join(sF3,sk2) = sk2,
inference(orient,[status(thm)],[t33973]) ).
cnf(t34343,plain,
join(sF4,sF5) = composition(sk1,sk2),
inference(step,[status(thm)],[t34342,t4888]) ).
cnf(t34344,plain,
join(sF4,sF5) = sF5,
inference(step,[status(thm)],[t34343,t28]) ).
cnf(t26780,plain,
join(sF4,sF5) = sF5,
inference(orient,[status(thm)],[t34344]) ).
cnf(t26789,plain,
join(sF4,join(sF5,X1)) = join(sF5,X1),
inference(cp,[status(thm)],[t67,t26780]) ).
cnf(t27096,plain,
join(sF4,join(sF5,X1)) = join(sF5,X1),
inference(orient,[status(thm)],[t26789]) ).
cnf(t34360,plain,
join(sF5,complement(sF11)) = top,
inference(step,[status(thm)],[t7015,t27096]) ).
cnf(t27101,plain,
join(sF5,complement(sF11)) = top,
inference(rw,[status(thm)],[t34360]) ).
cnf(t27272,plain,
join(sF5,complement(sF11)) = top,
inference(orient,[status(thm)],[t27101]) ).
cnf(t27280,plain,
sF11 = join(complement(top),complement(join(sF6,complement(sF11)))),
inference(cp,[status(thm)],[t4836,t27272]) ).
cnf(t34370,plain,
sF11 = join(zero,complement(join(sF6,complement(sF11)))),
inference(step,[status(thm)],[t27280,t51]) ).
cnf(t34371,plain,
sF11 = complement(join(sF6,complement(sF11))),
inference(step,[status(thm)],[t34370,t1027]) ).
cnf(t28006,plain,
complement(join(sF6,complement(sF11))) = sF11,
inference(orient,[status(thm)],[t34371]) ).
cnf(t28011,plain,
join(sF6,complement(sF11)) = complement(sF11),
inference(cp,[status(thm)],[t1118,t28006]) ).
cnf(t28061,plain,
join(sF6,complement(sF11)) = complement(sF11),
inference(orient,[status(thm)],[t28011]) ).
cnf(t28064,plain,
join(sF6,join(complement(sF11),X1)) = join(complement(sF11),X1),
inference(cp,[status(thm)],[t67,t28061]) ).
cnf(t29228,plain,
join(sF6,join(complement(sF11),X1)) = join(complement(sF11),X1),
inference(orient,[status(thm)],[t28064]) ).
cnf(t688,plain,
join(sF6,join(X1,sF8)) = join(X1,sF9),
inference(cp,[status(thm)],[t664,t314]) ).
cnf(t1738,plain,
join(sF6,join(X1,sF8)) = join(X1,sF9),
inference(orient,[status(thm)],[t688]) ).
cnf(t29234,plain,
join(complement(sF11),sF8) = join(complement(sF11),sF9),
inference(cp,[status(thm)],[t29228,t1738]) ).
cnf(t34386,plain,
join(sF8,complement(sF11)) = join(complement(sF11),sF9),
inference(step,[status(thm)],[t29234,t37]) ).
cnf(t34387,plain,
join(sF8,complement(sF11)) = join(sF9,complement(sF11)),
inference(step,[status(thm)],[t34386,t37]) ).
cnf(t343,plain,
sF9 = join(complement(join(sF10,X1)),complement(join(complement(sF9),complement(X1)))),
inference(cp,[status(thm)],[t192,t340]) ).
cnf(t34088,plain,
sF9 = join(complement(join(sF10,X1)),complement(join(sF10,complement(X1)))),
inference(step,[status(thm)],[t343,t340]) ).
cnf(t7421,plain,
join(complement(join(sF10,X1)),complement(join(sF10,complement(X1)))) = sF9,
inference(orient,[status(thm)],[t34088]) ).
cnf(t7474,plain,
join(complement(join(sF10,X1)),complement(join(sF10,complement(X1)))) = join(complement(join(sF10,X1)),sF9),
inference(cp,[status(thm)],[t2041,t7421]) ).
cnf(t34151,plain,
sF9 = join(complement(join(sF10,X1)),sF9),
inference(step,[status(thm)],[t7474,t7421]) ).
cnf(t34152,plain,
sF9 = join(sF9,complement(join(sF10,X1))),
inference(step,[status(thm)],[t34151,t37]) ).
cnf(t11553,plain,
join(sF9,complement(join(sF10,X1))) = sF9,
inference(orient,[status(thm)],[t34152]) ).
cnf(t375,plain,
join(sF4,join(sF10,X1)) = join(sF11,X1),
inference(cp,[status(thm)],[t67,t373]) ).
cnf(t1463,plain,
join(sF4,join(sF10,X1)) = join(sF11,X1),
inference(orient,[status(thm)],[t375]) ).
cnf(t1472,plain,
join(sF11,sF10) = join(sF4,sF10),
inference(cp,[status(thm)],[t1463,t1169]) ).
cnf(t33803,plain,
join(sF10,sF11) = join(sF4,sF10),
inference(step,[status(thm)],[t1472,t37]) ).
cnf(t33804,plain,
join(sF10,sF11) = sF11,
inference(step,[status(thm)],[t33803,t373]) ).
cnf(t1484,plain,
join(sF10,sF11) = sF11,
inference(orient,[status(thm)],[t33804]) ).
cnf(t11557,plain,
sF9 = join(sF9,complement(sF11)),
inference(cp,[status(thm)],[t11553,t1484]) ).
cnf(t11588,plain,
join(sF9,complement(sF11)) = sF9,
inference(orient,[status(thm)],[t11557]) ).
cnf(t34388,plain,
join(sF8,complement(sF11)) = sF9,
inference(step,[status(thm)],[t34387,t11588]) ).
cnf(t29308,plain,
join(sF8,complement(sF11)) = sF9,
inference(orient,[status(thm)],[t34388]) ).
cnf(t34466,plain,
sF11 = complement(sF9),
inference(step,[status(thm)],[t34465,t29308]) ).
cnf(t34467,plain,
sF11 = sF10,
inference(step,[status(thm)],[t34466,t340]) ).
cnf(t33514,plain,
sF11 = sF10,
inference(orient,[status(thm)],[t34467]) ).
cnf(t34468,plain,
join(sF4,sF10) = sF10,
inference(step,[status(thm)],[t373,t33514]) ).
cnf(t33515,plain,
join(sF4,sF10) = sF10,
inference(orient,[status(thm)],[t34468]) ).
cnf(u1,negated_conjecture,
join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))) != meet(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(definition_unfolding,[status(thm)],[u1,d0]) ).
cnf(g0_0,plain,
join(composition(sk1,complement(join(sF0,complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[goal_0,t24]) ).
cnf(g0_1,plain,
join(composition(sk1,complement(join(sF0,sF1))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_0,t25]) ).
cnf(g0_2,plain,
join(composition(sk1,complement(sF2)),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_1,t78]) ).
cnf(g0_3,plain,
join(composition(sk1,sF3),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_2,t243]) ).
cnf(g0_4,plain,
join(sF4,complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_3,t286]) ).
cnf(g0_5,plain,
join(sF4,complement(join(complement(sF5),complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_4,t28]) ).
cnf(g0_6,plain,
join(sF4,complement(join(sF6,complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_5,t35]) ).
cnf(g0_7,plain,
join(sF4,complement(join(sF6,complement(sF7)))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_6,t29]) ).
cnf(g0_8,plain,
join(sF4,complement(join(sF6,sF8))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_7,t47]) ).
cnf(g0_9,plain,
join(sF4,complement(sF9)) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_8,t314]) ).
cnf(g0_10,plain,
join(sF4,sF10) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_9,t340]) ).
cnf(g0_11,plain,
sF10 != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_10,t33515]) ).
cnf(g0_12,plain,
sF10 != complement(join(complement(sF5),complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_11,t28]) ).
cnf(g0_13,plain,
sF10 != complement(join(sF6,complement(composition(sk1,sk3)))),
inference(rw,[status(thm)],[g0_12,t35]) ).
cnf(g0_14,plain,
sF10 != complement(join(sF6,complement(sF7))),
inference(rw,[status(thm)],[g0_13,t29]) ).
cnf(g0_15,plain,
sF10 != complement(join(sF6,sF8)),
inference(rw,[status(thm)],[g0_14,t47]) ).
cnf(g0_16,plain,
sF10 != complement(sF9),
inference(rw,[status(thm)],[g0_15,t314]) ).
cnf(g0_17,plain,
sF10 != sF10,
inference(rw,[status(thm)],[g0_16,t340]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL032-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/10.98 % Computer : n002.cluster.edu
% 0.10/10.98 % Model : x86_64 x86_64
% 0.10/10.98 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.98 % Memory : 8046.5625MB
% 0.10/10.98 % OS : Linux 6.8.0-71-generic
% 0.10/10.98 % CPULimit : 300
% 0.10/10.98 % WCLimit : 300
% 0.10/10.98 % DateTime : Thu Sep 24 07:30:03 UTC 2026
% 0.10/10.99 % CPUTime :
% 0.10/10.99 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 42.87/16.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.87/16.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------