%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL016-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 02:34:45 PM UTC 2026
% Result : Unsatisfiable 56.75s 12.89s
% Output : CNFRefutation 56.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 29
% Syntax : Number of clauses : 353 ( 353 unt; 0 nHn; 213 RR)
% Number of literals : 353 ( 352 equ; 22 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 187 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t15,axiom,
sF0 = complement(sk2),
introduced(definition) ).
cnf(t31,plain,
complement(sk2) = sF0,
inference(orient,[status(thm)],[t15]) ).
cnf(t11,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t44,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t32522,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t11,t44]) ).
cnf(t200,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(orient,[status(thm)],[t32522]) ).
cnf(t10,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t32521,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t10,t44]) ).
cnf(t144,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t32521]) ).
cnf(t5,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t66,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(t34,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t68,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t66,t34]) ).
cnf(t111,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t68]) ).
cnf(t0,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t33,plain,
composition(X1,one) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t112,plain,
composition(converse(one),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t111,t33]) ).
cnf(t32518,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t112,t34]) ).
cnf(t115,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t32518]) ).
cnf(t116,plain,
one = converse(one),
inference(cp,[status(thm)],[t115,t33]) ).
cnf(t119,plain,
converse(one) = one,
inference(orient,[status(thm)],[t116]) ).
cnf(t161,plain,
complement(X1) = join(complement(X1),composition(one,complement(composition(one,X1)))),
inference(cp,[status(thm)],[t144,t119]) ).
cnf(t32519,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t115,t119]) ).
cnf(t120,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t32519]) ).
cnf(t124,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t120]) ).
cnf(t32529,plain,
complement(X1) = join(complement(X1),complement(composition(one,X1))),
inference(step,[status(thm)],[t161,t124]) ).
cnf(t32530,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t32529,t124]) ).
cnf(t328,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t32530]) ).
cnf(t337,plain,
X1 = join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))),
inference(cp,[status(thm)],[t200,t328]) ).
cnf(t2,axiom,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t38,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t2]) ).
cnf(t32657,plain,
X1 = join(complement(complement(X1)),complement(top)),
inference(step,[status(thm)],[t337,t38]) ).
cnf(t32658,plain,
X1 = join(complement(top),complement(complement(X1))),
inference(step,[status(thm)],[t32657,t44]) ).
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(t32514,plain,
complement(top) = zero,
inference(step,[status(thm)],[t4,t38]) ).
cnf(t60,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t32514]) ).
cnf(t32659,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t32658,t60]) ).
cnf(t710,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t32659]) ).
cnf(t8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t78,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t334,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t328,t60]) ).
cnf(t32543,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t334,t60]) ).
cnf(t32544,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t32543,t60]) ).
cnf(t400,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t32544]) ).
cnf(t401,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t78,t400]) ).
cnf(t1609,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t401]) ).
cnf(t1611,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t1609,t710]) ).
cnf(t32729,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t1611,t710]) ).
cnf(t1617,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t32729]) ).
cnf(t32731,plain,
complement(complement(X1)) = X1,
inference(step,[status(thm)],[t710,t1617]) ).
cnf(t1619,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[t32731]) ).
cnf(t1783,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t1619]) ).
cnf(t16,axiom,
sF1 = complement(sk3),
introduced(definition) ).
cnf(t32,plain,
complement(sk3) = sF1,
inference(orient,[status(thm)],[t16]) ).
cnf(t1784,plain,
sk3 = complement(sF1),
inference(cp,[status(thm)],[t1783,t32]) ).
cnf(t17,axiom,
sF2 = complement(complement(sk3)),
introduced(definition) ).
cnf(t32509,plain,
sF2 = complement(sF1),
inference(step,[status(thm)],[t17,t32]) ).
cnf(t35,plain,
complement(sF1) = sF2,
inference(orient,[status(thm)],[t32509]) ).
cnf(t32740,plain,
sk3 = sF2,
inference(step,[status(thm)],[t1784,t35]) ).
cnf(t1798,plain,
sk3 = sF2,
inference(orient,[status(thm)],[t32740]) ).
cnf(t18,axiom,
sF3 = join(complement(sk2),complement(complement(sk3))),
introduced(definition) ).
cnf(t32570,plain,
sF3 = join(sF0,complement(complement(sk3))),
inference(step,[status(thm)],[t18,t31]) ).
cnf(t32571,plain,
sF3 = join(sF0,complement(sF1)),
inference(step,[status(thm)],[t32570,t32]) ).
cnf(t32572,plain,
sF3 = join(sF0,sF2),
inference(step,[status(thm)],[t32571,t35]) ).
cnf(t501,plain,
join(sF0,sF2) = sF3,
inference(orient,[status(thm)],[t32572]) ).
cnf(t19,axiom,
sF4 = complement(join(complement(sk2),complement(complement(sk3)))),
introduced(definition) ).
cnf(t32577,plain,
sF4 = complement(join(sF0,complement(complement(sk3)))),
inference(step,[status(thm)],[t19,t31]) ).
cnf(t32578,plain,
sF4 = complement(join(sF0,complement(sF1))),
inference(step,[status(thm)],[t32577,t32]) ).
cnf(t32579,plain,
sF4 = complement(join(sF0,sF2)),
inference(step,[status(thm)],[t32578,t35]) ).
cnf(t32580,plain,
sF4 = complement(sF3),
inference(step,[status(thm)],[t32579,t501]) ).
cnf(t523,plain,
complement(sF3) = sF4,
inference(orient,[status(thm)],[t32580]) ).
cnf(t20,axiom,
sF5 = composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))),
introduced(definition) ).
cnf(t32590,plain,
sF5 = composition(sk1,complement(join(sF0,complement(complement(sk3))))),
inference(step,[status(thm)],[t20,t31]) ).
cnf(t32591,plain,
sF5 = composition(sk1,complement(join(sF0,complement(sF1)))),
inference(step,[status(thm)],[t32590,t32]) ).
cnf(t32592,plain,
sF5 = composition(sk1,complement(join(sF0,sF2))),
inference(step,[status(thm)],[t32591,t35]) ).
cnf(t32593,plain,
sF5 = composition(sk1,complement(sF3)),
inference(step,[status(thm)],[t32592,t501]) ).
cnf(t32594,plain,
sF5 = composition(sk1,sF4),
inference(step,[status(thm)],[t32593,t523]) ).
cnf(t561,plain,
composition(sk1,sF4) = sF5,
inference(orient,[status(thm)],[t32594]) ).
cnf(t21,axiom,
sF6 = complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),
introduced(definition) ).
cnf(t32598,plain,
sF6 = complement(composition(sk1,complement(join(sF0,complement(complement(sk3)))))),
inference(step,[status(thm)],[t21,t31]) ).
cnf(t32599,plain,
sF6 = complement(composition(sk1,complement(join(sF0,complement(sF1))))),
inference(step,[status(thm)],[t32598,t32]) ).
cnf(t32600,plain,
sF6 = complement(composition(sk1,complement(join(sF0,sF2)))),
inference(step,[status(thm)],[t32599,t35]) ).
cnf(t32601,plain,
sF6 = complement(composition(sk1,complement(sF3))),
inference(step,[status(thm)],[t32600,t501]) ).
cnf(t32602,plain,
sF6 = complement(composition(sk1,sF4)),
inference(step,[status(thm)],[t32601,t523]) ).
cnf(t32603,plain,
sF6 = complement(sF5),
inference(step,[status(thm)],[t32602,t561]) ).
cnf(t593,plain,
complement(sF5) = sF6,
inference(orient,[status(thm)],[t32603]) ).
cnf(t22,axiom,
sF7 = composition(sk1,sk3),
introduced(definition) ).
cnf(t36,plain,
composition(sk1,sk3) = sF7,
inference(orient,[status(thm)],[t22]) ).
cnf(t32741,plain,
composition(sk1,sF2) = sF7,
inference(step,[status(thm)],[t36,t1798]) ).
cnf(t1800,plain,
composition(sk1,sF2) = sF7,
inference(rw,[status(thm)],[t32741]) ).
cnf(t2003,plain,
composition(sk1,sF2) = sF7,
inference(orient,[status(thm)],[t1800]) ).
cnf(t25,axiom,
sF10 = join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),complement(complement(composition(sk1,sk3)))),
introduced(definition) ).
cnf(t32607,plain,
sF10 = join(complement(complement(composition(sk1,sk3))),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))))),
inference(step,[status(thm)],[t25,t44]) ).
cnf(t32608,plain,
sF10 = join(complement(complement(sF7)),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))))),
inference(step,[status(thm)],[t32607,t36]) ).
cnf(t23,axiom,
sF8 = complement(composition(sk1,sk3)),
introduced(definition) ).
cnf(t32512,plain,
sF8 = complement(sF7),
inference(step,[status(thm)],[t23,t36]) ).
cnf(t54,plain,
complement(sF7) = sF8,
inference(orient,[status(thm)],[t32512]) ).
cnf(t32609,plain,
sF10 = join(complement(sF8),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))))),
inference(step,[status(thm)],[t32608,t54]) ).
cnf(t24,axiom,
sF9 = complement(complement(composition(sk1,sk3))),
introduced(definition) ).
cnf(t32516,plain,
sF9 = complement(complement(sF7)),
inference(step,[status(thm)],[t24,t36]) ).
cnf(t32517,plain,
sF9 = complement(sF8),
inference(step,[status(thm)],[t32516,t54]) ).
cnf(t90,plain,
complement(sF8) = sF9,
inference(orient,[status(thm)],[t32517]) ).
cnf(t32610,plain,
sF10 = join(sF9,complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))))),
inference(step,[status(thm)],[t32609,t90]) ).
cnf(t32611,plain,
sF10 = join(sF9,complement(composition(sk1,complement(join(sF0,complement(complement(sk3))))))),
inference(step,[status(thm)],[t32610,t31]) ).
cnf(t32612,plain,
sF10 = join(sF9,complement(composition(sk1,complement(join(sF0,complement(sF1)))))),
inference(step,[status(thm)],[t32611,t32]) ).
cnf(t32613,plain,
sF10 = join(sF9,complement(composition(sk1,complement(join(sF0,sF2))))),
inference(step,[status(thm)],[t32612,t35]) ).
cnf(t32614,plain,
sF10 = join(sF9,complement(composition(sk1,complement(sF3)))),
inference(step,[status(thm)],[t32613,t501]) ).
cnf(t32615,plain,
sF10 = join(sF9,complement(composition(sk1,sF4))),
inference(step,[status(thm)],[t32614,t523]) ).
cnf(t32616,plain,
sF10 = join(sF9,complement(sF5)),
inference(step,[status(thm)],[t32615,t561]) ).
cnf(t32617,plain,
sF10 = join(sF9,sF6),
inference(step,[status(thm)],[t32616,t593]) ).
cnf(t32618,plain,
sF10 = join(sF6,sF9),
inference(step,[status(thm)],[t32617,t44]) ).
cnf(t634,plain,
join(sF6,sF9) = sF10,
inference(orient,[status(thm)],[t32618]) ).
cnf(t1785,plain,
sF7 = complement(sF8),
inference(cp,[status(thm)],[t1783,t54]) ).
cnf(t32745,plain,
sF7 = sF9,
inference(step,[status(thm)],[t1785,t90]) ).
cnf(t1810,plain,
sF9 = sF7,
inference(orient,[status(thm)],[t32745]) ).
cnf(t32750,plain,
join(sF6,sF7) = sF10,
inference(step,[status(thm)],[t634,t1810]) ).
cnf(t1816,plain,
join(sF6,sF7) = sF10,
inference(rw,[status(thm)],[t32750]) ).
cnf(t2018,plain,
join(sF6,sF7) = sF10,
inference(orient,[status(thm)],[t1816]) ).
cnf(t26,axiom,
sF11 = complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),complement(complement(composition(sk1,sk3))))),
introduced(definition) ).
cnf(t32619,plain,
sF11 = complement(join(complement(complement(composition(sk1,sk3))),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))))),
inference(step,[status(thm)],[t26,t44]) ).
cnf(t32620,plain,
sF11 = complement(join(complement(complement(sF7)),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))))),
inference(step,[status(thm)],[t32619,t36]) ).
cnf(t32621,plain,
sF11 = complement(join(complement(sF8),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))))),
inference(step,[status(thm)],[t32620,t54]) ).
cnf(t32622,plain,
sF11 = complement(join(sF9,complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))))),
inference(step,[status(thm)],[t32621,t90]) ).
cnf(t32623,plain,
sF11 = complement(join(sF9,complement(composition(sk1,complement(join(sF0,complement(complement(sk3)))))))),
inference(step,[status(thm)],[t32622,t31]) ).
cnf(t32624,plain,
sF11 = complement(join(sF9,complement(composition(sk1,complement(join(sF0,complement(sF1))))))),
inference(step,[status(thm)],[t32623,t32]) ).
cnf(t32625,plain,
sF11 = complement(join(sF9,complement(composition(sk1,complement(join(sF0,sF2)))))),
inference(step,[status(thm)],[t32624,t35]) ).
cnf(t32626,plain,
sF11 = complement(join(sF9,complement(composition(sk1,complement(sF3))))),
inference(step,[status(thm)],[t32625,t501]) ).
cnf(t32627,plain,
sF11 = complement(join(sF9,complement(composition(sk1,sF4)))),
inference(step,[status(thm)],[t32626,t523]) ).
cnf(t32628,plain,
sF11 = complement(join(sF9,complement(sF5))),
inference(step,[status(thm)],[t32627,t561]) ).
cnf(t32629,plain,
sF11 = complement(join(sF9,sF6)),
inference(step,[status(thm)],[t32628,t593]) ).
cnf(t32630,plain,
sF11 = complement(join(sF6,sF9)),
inference(step,[status(thm)],[t32629,t44]) ).
cnf(t32631,plain,
sF11 = complement(sF10),
inference(step,[status(thm)],[t32630,t634]) ).
cnf(t637,plain,
complement(sF10) = sF11,
inference(orient,[status(thm)],[t32631]) ).
cnf(t27,axiom,
sF12 = composition(sk1,sk2),
introduced(definition) ).
cnf(t37,plain,
composition(sk1,sk2) = sF12,
inference(orient,[status(thm)],[t27]) ).
cnf(t28,axiom,
sF13 = complement(composition(sk1,sk2)),
introduced(definition) ).
cnf(t32513,plain,
sF13 = complement(sF12),
inference(step,[status(thm)],[t28,t37]) ).
cnf(t58,plain,
complement(sF12) = sF13,
inference(orient,[status(thm)],[t32513]) ).
cnf(t29,axiom,
sF14 = join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3)))),
introduced(definition) ).
cnf(t32635,plain,
sF14 = join(complement(sF12),complement(complement(composition(sk1,sk3)))),
inference(step,[status(thm)],[t29,t37]) ).
cnf(t32636,plain,
sF14 = join(sF13,complement(complement(composition(sk1,sk3)))),
inference(step,[status(thm)],[t32635,t58]) ).
cnf(t32637,plain,
sF14 = join(sF13,complement(complement(sF7))),
inference(step,[status(thm)],[t32636,t36]) ).
cnf(t32638,plain,
sF14 = join(sF13,complement(sF8)),
inference(step,[status(thm)],[t32637,t54]) ).
cnf(t32639,plain,
sF14 = join(sF13,sF9),
inference(step,[status(thm)],[t32638,t90]) ).
cnf(t32640,plain,
sF14 = join(sF9,sF13),
inference(step,[status(thm)],[t32639,t44]) ).
cnf(t668,plain,
join(sF9,sF13) = sF14,
inference(orient,[status(thm)],[t32640]) ).
cnf(t32752,plain,
join(sF7,sF13) = sF14,
inference(step,[status(thm)],[t668,t1810]) ).
cnf(t1818,plain,
join(sF7,sF13) = sF14,
inference(rw,[status(thm)],[t32752]) ).
cnf(t2026,plain,
join(sF7,sF13) = sF14,
inference(orient,[status(thm)],[t1818]) ).
cnf(t30,axiom,
sF15 = complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
introduced(definition) ).
cnf(t32648,plain,
sF15 = complement(join(complement(sF12),complement(complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t30,t37]) ).
cnf(t32649,plain,
sF15 = complement(join(sF13,complement(complement(composition(sk1,sk3))))),
inference(step,[status(thm)],[t32648,t58]) ).
cnf(t32650,plain,
sF15 = complement(join(sF13,complement(complement(sF7)))),
inference(step,[status(thm)],[t32649,t36]) ).
cnf(t32651,plain,
sF15 = complement(join(sF13,complement(sF8))),
inference(step,[status(thm)],[t32650,t54]) ).
cnf(t32652,plain,
sF15 = complement(join(sF13,sF9)),
inference(step,[status(thm)],[t32651,t90]) ).
cnf(t32653,plain,
sF15 = complement(join(sF9,sF13)),
inference(step,[status(thm)],[t32652,t44]) ).
cnf(t32654,plain,
sF15 = complement(sF14),
inference(step,[status(thm)],[t32653,t668]) ).
cnf(t687,plain,
complement(sF14) = sF15,
inference(orient,[status(thm)],[t32654]) ).
cnf(t597,plain,
X1 = join(complement(join(complement(X1),sF5)),complement(join(complement(X1),sF6))),
inference(cp,[status(thm)],[t200,t593]) ).
cnf(t33621,plain,
X1 = join(complement(join(sF5,complement(X1))),complement(join(complement(X1),sF6))),
inference(step,[status(thm)],[t597,t44]) ).
cnf(t33622,plain,
X1 = join(complement(join(sF5,complement(X1))),complement(join(sF6,complement(X1)))),
inference(step,[status(thm)],[t33621,t44]) ).
cnf(t32428,plain,
join(complement(join(sF5,complement(X1))),complement(join(sF6,complement(X1)))) = X1,
inference(orient,[status(thm)],[t33622]) ).
cnf(t721,plain,
sF14 = join(zero,complement(sF15)),
inference(cp,[status(thm)],[t710,t687]) ).
cnf(t846,plain,
join(zero,complement(sF15)) = sF14,
inference(orient,[status(thm)],[t721]) ).
cnf(t32739,plain,
complement(sF15) = sF14,
inference(step,[status(thm)],[t846,t1617]) ).
cnf(t1627,plain,
complement(sF15) = sF14,
inference(rw,[status(thm)],[t32739]) ).
cnf(t1763,plain,
complement(sF15) = sF14,
inference(orient,[status(thm)],[t1627]) ).
cnf(t32442,plain,
sF15 = join(complement(join(sF5,sF14)),complement(join(sF6,complement(sF15)))),
inference(cp,[status(thm)],[t32428,t1763]) ).
cnf(t6,axiom,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t69,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t6]) ).
cnf(t70,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(cp,[status(thm)],[t69,t34]) ).
cnf(t165,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(orient,[status(thm)],[t70]) ).
cnf(t172,plain,
composition(converse(X1),join(converse(X2),X3)) = converse(composition(join(X2,converse(X3)),X1)),
inference(cp,[status(thm)],[t111,t165]) ).
cnf(t4630,plain,
converse(composition(join(X1,converse(X2)),X3)) = composition(converse(X3),join(converse(X1),X2)),
inference(orient,[status(thm)],[t172]) ).
cnf(t9,axiom,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t92,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t9]) ).
cnf(t98,plain,
composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))),
inference(cp,[status(thm)],[t92,t66]) ).
cnf(t1288,plain,
join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)),
inference(orient,[status(thm)],[t98]) ).
cnf(t1290,plain,
composition(join(converse(sk2),X1),converse(sk1)) = join(converse(sF12),composition(X1,converse(sk1))),
inference(cp,[status(thm)],[t1288,t37]) ).
cnf(t17188,plain,
composition(join(converse(sk2),X1),converse(sk1)) = join(converse(sF12),composition(X1,converse(sk1))),
inference(orient,[status(thm)],[t1290]) ).
cnf(t17237,plain,
composition(converse(converse(sk1)),join(converse(converse(sk2)),X1)) = converse(join(converse(sF12),composition(converse(X1),converse(sk1)))),
inference(cp,[status(thm)],[t4630,t17188]) ).
cnf(t33328,plain,
composition(sk1,join(converse(converse(sk2)),X1)) = converse(join(converse(sF12),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t17237,t34]) ).
cnf(t33329,plain,
composition(sk1,join(sk2,X1)) = converse(join(converse(sF12),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t33328,t34]) ).
cnf(t33330,plain,
composition(sk1,join(sk2,X1)) = join(sF12,converse(composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t33329,t165]) ).
cnf(t67,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(cp,[status(thm)],[t66,t34]) ).
cnf(t106,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(orient,[status(thm)],[t67]) ).
cnf(t33331,plain,
composition(sk1,join(sk2,X1)) = join(sF12,composition(sk1,converse(converse(X1)))),
inference(step,[status(thm)],[t33330,t106]) ).
cnf(t33332,plain,
composition(sk1,join(sk2,X1)) = join(sF12,composition(sk1,X1)),
inference(step,[status(thm)],[t33331,t34]) ).
cnf(t17346,plain,
composition(sk1,join(sk2,X1)) = join(sF12,composition(sk1,X1)),
inference(orient,[status(thm)],[t33332]) ).
cnf(t17349,plain,
join(sF12,composition(sk1,X1)) = composition(sk1,join(X1,sk2)),
inference(cp,[status(thm)],[t17346,t44]) ).
cnf(t17447,plain,
composition(sk1,join(X1,sk2)) = join(sF12,composition(sk1,X1)),
inference(orient,[status(thm)],[t17349]) ).
cnf(t206,plain,
X1 = join(complement(join(complement(X1),sF1)),complement(join(complement(X1),sF2))),
inference(cp,[status(thm)],[t200,t35]) ).
cnf(t32941,plain,
X1 = join(complement(join(sF1,complement(X1))),complement(join(complement(X1),sF2))),
inference(step,[status(thm)],[t206,t44]) ).
cnf(t32942,plain,
X1 = join(complement(join(sF1,complement(X1))),complement(join(sF2,complement(X1)))),
inference(step,[status(thm)],[t32941,t44]) ).
cnf(t5493,plain,
join(complement(join(sF1,complement(X1))),complement(join(sF2,complement(X1)))) = X1,
inference(orient,[status(thm)],[t32942]) ).
cnf(t526,plain,
sF3 = join(complement(join(sF4,X1)),complement(join(complement(sF3),complement(X1)))),
inference(cp,[status(thm)],[t200,t523]) ).
cnf(t33538,plain,
sF3 = join(complement(join(sF4,X1)),complement(join(sF4,complement(X1)))),
inference(step,[status(thm)],[t526,t523]) ).
cnf(t30425,plain,
join(complement(join(sF4,X1)),complement(join(sF4,complement(X1)))) = sF3,
inference(orient,[status(thm)],[t33538]) ).
cnf(t202,plain,
X1 = join(complement(join(complement(X1),sk2)),complement(join(complement(X1),sF0))),
inference(cp,[status(thm)],[t200,t31]) ).
cnf(t32936,plain,
X1 = join(complement(join(complement(X1),sF0)),complement(join(complement(X1),sk2))),
inference(step,[status(thm)],[t202,t44]) ).
cnf(t32937,plain,
X1 = join(complement(join(sF0,complement(X1))),complement(join(complement(X1),sk2))),
inference(step,[status(thm)],[t32936,t44]) ).
cnf(t32938,plain,
X1 = join(complement(join(sF0,complement(X1))),complement(join(sk2,complement(X1)))),
inference(step,[status(thm)],[t32937,t44]) ).
cnf(t5359,plain,
join(complement(join(sF0,complement(X1))),complement(join(sk2,complement(X1)))) = X1,
inference(orient,[status(thm)],[t32938]) ).
cnf(t5361,plain,
sF1 = join(complement(join(sF0,sF2)),complement(join(sk2,complement(sF1)))),
inference(cp,[status(thm)],[t5359,t35]) ).
cnf(t33021,plain,
sF1 = join(complement(sF3),complement(join(sk2,complement(sF1)))),
inference(step,[status(thm)],[t5361,t501]) ).
cnf(t33022,plain,
sF1 = join(sF4,complement(join(sk2,complement(sF1)))),
inference(step,[status(thm)],[t33021,t523]) ).
cnf(t33023,plain,
sF1 = join(sF4,complement(join(sk2,sF2))),
inference(step,[status(thm)],[t33022,t35]) ).
cnf(t33024,plain,
sF1 = join(sF4,complement(join(sF2,sk2))),
inference(step,[status(thm)],[t33023,t44]) ).
cnf(t8340,plain,
join(sF4,complement(join(sF2,sk2))) = sF1,
inference(orient,[status(thm)],[t33024]) ).
cnf(t30469,plain,
sF3 = join(complement(sF1),complement(join(sF4,complement(complement(join(sF2,sk2)))))),
inference(cp,[status(thm)],[t30425,t8340]) ).
cnf(t33557,plain,
sF3 = join(sF2,complement(join(sF4,complement(complement(join(sF2,sk2)))))),
inference(step,[status(thm)],[t30469,t35]) ).
cnf(t33558,plain,
sF3 = join(sF2,complement(join(sF4,join(sF2,sk2)))),
inference(step,[status(thm)],[t33557,t1783]) ).
cnf(t82,plain,
join(X1,join(X2,X3)) = join(join(X2,X1),X3),
inference(cp,[status(thm)],[t78,t44]) ).
cnf(t32672,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(step,[status(thm)],[t82,t78]) ).
cnf(t1084,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(orient,[status(thm)],[t32672]) ).
cnf(t1791,plain,
complement(complement(X1)) = join(X1,complement(complement(X1))),
inference(cp,[status(thm)],[t328,t1783]) ).
cnf(t32768,plain,
X1 = join(X1,complement(complement(X1))),
inference(step,[status(thm)],[t1791,t1783]) ).
cnf(t32769,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t32768,t1783]) ).
cnf(t1900,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t32769]) ).
cnf(t1919,plain,
join(X1,X2) = join(X1,join(join(X1,X2),X2)),
inference(cp,[status(thm)],[t1900,t1084]) ).
cnf(t32838,plain,
join(X1,X2) = join(X1,join(X1,join(X2,X2))),
inference(step,[status(thm)],[t1919,t78]) ).
cnf(t32839,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(step,[status(thm)],[t32838,t1900]) ).
cnf(t2919,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t32839]) ).
cnf(t201,plain,
sk2 = join(complement(join(sF0,X1)),complement(join(complement(sk2),complement(X1)))),
inference(cp,[status(thm)],[t200,t31]) ).
cnf(t32935,plain,
sk2 = join(complement(join(sF0,X1)),complement(join(sF0,complement(X1)))),
inference(step,[status(thm)],[t201,t31]) ).
cnf(t5299,plain,
join(complement(join(sF0,X1)),complement(join(sF0,complement(X1)))) = sk2,
inference(orient,[status(thm)],[t32935]) ).
cnf(t5300,plain,
sk2 = join(complement(join(sF0,sF1)),complement(join(sF0,sF2))),
inference(cp,[status(thm)],[t5299,t35]) ).
cnf(t33002,plain,
sk2 = join(complement(join(sF0,sF1)),complement(sF3)),
inference(step,[status(thm)],[t5300,t501]) ).
cnf(t33003,plain,
sk2 = join(complement(sF3),complement(join(sF0,sF1))),
inference(step,[status(thm)],[t33002,t44]) ).
cnf(t33004,plain,
sk2 = join(sF4,complement(join(sF0,sF1))),
inference(step,[status(thm)],[t33003,t523]) ).
cnf(t7961,plain,
join(sF4,complement(join(sF0,sF1))) = sk2,
inference(orient,[status(thm)],[t33004]) ).
cnf(t7971,plain,
join(sF4,complement(join(sF0,sF1))) = join(sF4,sk2),
inference(cp,[status(thm)],[t2919,t7961]) ).
cnf(t33005,plain,
sk2 = join(sF4,sk2),
inference(step,[status(thm)],[t7971,t7961]) ).
cnf(t7973,plain,
join(sF4,sk2) = sk2,
inference(orient,[status(thm)],[t33005]) ).
cnf(t7978,plain,
join(sF4,join(X1,sk2)) = join(X1,sk2),
inference(cp,[status(thm)],[t1084,t7973]) ).
cnf(t8104,plain,
join(sF4,join(X1,sk2)) = join(X1,sk2),
inference(orient,[status(thm)],[t7978]) ).
cnf(t33559,plain,
sF3 = join(sF2,complement(join(sF2,sk2))),
inference(step,[status(thm)],[t33558,t8104]) ).
cnf(t30987,plain,
join(sF2,complement(join(sF2,sk2))) = sF3,
inference(orient,[status(thm)],[t33559]) ).
cnf(t31000,plain,
join(sF2,sk2) = join(complement(join(sF1,complement(join(sF2,sk2)))),complement(sF3)),
inference(cp,[status(thm)],[t5493,t30987]) ).
cnf(t33560,plain,
join(sF2,sk2) = join(complement(sF3),complement(join(sF1,complement(join(sF2,sk2))))),
inference(step,[status(thm)],[t31000,t44]) ).
cnf(t33561,plain,
join(sF2,sk2) = join(sF4,complement(join(sF1,complement(join(sF2,sk2))))),
inference(step,[status(thm)],[t33560,t523]) ).
cnf(t205,plain,
sF1 = join(complement(join(sF2,X1)),complement(join(complement(sF1),complement(X1)))),
inference(cp,[status(thm)],[t200,t35]) ).
cnf(t32940,plain,
sF1 = join(complement(join(sF2,X1)),complement(join(sF2,complement(X1)))),
inference(step,[status(thm)],[t205,t35]) ).
cnf(t5445,plain,
join(complement(join(sF2,X1)),complement(join(sF2,complement(X1)))) = sF1,
inference(orient,[status(thm)],[t32940]) ).
cnf(t5492,plain,
join(complement(join(sF2,X1)),complement(join(sF2,complement(X1)))) = join(complement(join(sF2,X1)),sF1),
inference(cp,[status(thm)],[t2919,t5445]) ).
cnf(t33048,plain,
sF1 = join(complement(join(sF2,X1)),sF1),
inference(step,[status(thm)],[t5492,t5445]) ).
cnf(t33049,plain,
sF1 = join(sF1,complement(join(sF2,X1))),
inference(step,[status(thm)],[t33048,t44]) ).
cnf(t8886,plain,
join(sF1,complement(join(sF2,X1))) = sF1,
inference(orient,[status(thm)],[t33049]) ).
cnf(t33562,plain,
join(sF2,sk2) = join(sF4,complement(sF1)),
inference(step,[status(thm)],[t33561,t8886]) ).
cnf(t33563,plain,
join(sF2,sk2) = join(sF4,sF2),
inference(step,[status(thm)],[t33562,t35]) ).
cnf(t33564,plain,
join(sF2,sk2) = join(sF2,sF4),
inference(step,[status(thm)],[t33563,t44]) ).
cnf(t31010,plain,
join(sF2,sk2) = join(sF2,sF4),
inference(orient,[status(thm)],[t33564]) ).
cnf(t31026,plain,
join(sF12,composition(sk1,sF2)) = composition(sk1,join(sF2,sF4)),
inference(cp,[status(thm)],[t17447,t31010]) ).
cnf(t33565,plain,
join(sF12,sF7) = composition(sk1,join(sF2,sF4)),
inference(step,[status(thm)],[t31026,t2003]) ).
cnf(t33566,plain,
join(sF7,sF12) = composition(sk1,join(sF2,sF4)),
inference(step,[status(thm)],[t33565,t44]) ).
cnf(t1307,plain,
composition(join(converse(sF4),X1),converse(sk1)) = join(converse(sF5),composition(X1,converse(sk1))),
inference(cp,[status(thm)],[t1288,t561]) ).
cnf(t19315,plain,
composition(join(converse(sF4),X1),converse(sk1)) = join(converse(sF5),composition(X1,converse(sk1))),
inference(orient,[status(thm)],[t1307]) ).
cnf(t19365,plain,
composition(converse(converse(sk1)),join(converse(converse(sF4)),X1)) = converse(join(converse(sF5),composition(converse(X1),converse(sk1)))),
inference(cp,[status(thm)],[t4630,t19315]) ).
cnf(t33376,plain,
composition(sk1,join(converse(converse(sF4)),X1)) = converse(join(converse(sF5),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t19365,t34]) ).
cnf(t33377,plain,
composition(sk1,join(sF4,X1)) = converse(join(converse(sF5),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t33376,t34]) ).
cnf(t33378,plain,
composition(sk1,join(sF4,X1)) = join(sF5,converse(composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t33377,t165]) ).
cnf(t33379,plain,
composition(sk1,join(sF4,X1)) = join(sF5,composition(sk1,converse(converse(X1)))),
inference(step,[status(thm)],[t33378,t106]) ).
cnf(t33380,plain,
composition(sk1,join(sF4,X1)) = join(sF5,composition(sk1,X1)),
inference(step,[status(thm)],[t33379,t34]) ).
cnf(t19595,plain,
composition(sk1,join(sF4,X1)) = join(sF5,composition(sk1,X1)),
inference(orient,[status(thm)],[t33380]) ).
cnf(t19598,plain,
join(sF5,composition(sk1,X1)) = composition(sk1,join(X1,sF4)),
inference(cp,[status(thm)],[t19595,t44]) ).
cnf(t19696,plain,
composition(sk1,join(X1,sF4)) = join(sF5,composition(sk1,X1)),
inference(orient,[status(thm)],[t19598]) ).
cnf(t33567,plain,
join(sF7,sF12) = join(sF5,composition(sk1,sF2)),
inference(step,[status(thm)],[t33566,t19696]) ).
cnf(t33568,plain,
join(sF7,sF12) = join(sF5,sF7),
inference(step,[status(thm)],[t33567,t2003]) ).
cnf(t31030,plain,
join(sF7,sF12) = join(sF5,sF7),
inference(orient,[status(thm)],[t33568]) ).
cnf(t31034,plain,
join(sF7,join(sF12,X1)) = join(join(sF5,sF7),X1),
inference(cp,[status(thm)],[t78,t31030]) ).
cnf(t33574,plain,
join(sF7,join(sF12,X1)) = join(sF5,join(sF7,X1)),
inference(step,[status(thm)],[t31034,t78]) ).
cnf(t31371,plain,
join(sF7,join(sF12,X1)) = join(sF5,join(sF7,X1)),
inference(orient,[status(thm)],[t33574]) ).
cnf(t31372,plain,
join(sF5,join(sF7,complement(sF12))) = join(sF7,top),
inference(cp,[status(thm)],[t31371,t38]) ).
cnf(t33575,plain,
join(sF5,join(sF7,sF13)) = join(sF7,top),
inference(step,[status(thm)],[t31372,t58]) ).
cnf(t33576,plain,
join(sF5,sF14) = join(sF7,top),
inference(step,[status(thm)],[t33575,t2026]) ).
cnf(t79,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(cp,[status(thm)],[t78,t38]) ).
cnf(t850,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(orient,[status(thm)],[t79]) ).
cnf(t862,plain,
top = join(complement(X1),join(complement(X1),complement(complement(X1)))),
inference(cp,[status(thm)],[t850,t328]) ).
cnf(t32673,plain,
top = join(complement(X1),top),
inference(step,[status(thm)],[t862,t38]) ).
cnf(t32674,plain,
top = join(top,complement(X1)),
inference(step,[status(thm)],[t32673,t44]) ).
cnf(t1184,plain,
join(top,complement(X1)) = top,
inference(orient,[status(thm)],[t32674]) ).
cnf(t1202,plain,
top = join(X1,top),
inference(cp,[status(thm)],[t850,t1184]) ).
cnf(t1318,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t1202]) ).
cnf(t33577,plain,
join(sF5,sF14) = top,
inference(step,[status(thm)],[t33576,t1318]) ).
cnf(t31427,plain,
join(sF5,sF14) = top,
inference(orient,[status(thm)],[t33577]) ).
cnf(t33623,plain,
sF15 = join(complement(top),complement(join(sF6,complement(sF15)))),
inference(step,[status(thm)],[t32442,t31427]) ).
cnf(t33624,plain,
sF15 = join(zero,complement(join(sF6,complement(sF15)))),
inference(step,[status(thm)],[t33623,t60]) ).
cnf(t33625,plain,
sF15 = complement(join(sF6,complement(sF15))),
inference(step,[status(thm)],[t33624,t1617]) ).
cnf(t33626,plain,
sF15 = complement(join(sF6,sF14)),
inference(step,[status(thm)],[t33625,t1763]) ).
cnf(t2032,plain,
join(sF7,join(X1,sF13)) = join(X1,sF14),
inference(cp,[status(thm)],[t1084,t2026]) ).
cnf(t3256,plain,
join(sF7,join(X1,sF13)) = join(X1,sF14),
inference(orient,[status(thm)],[t2032]) ).
cnf(t596,plain,
sF5 = join(complement(join(sF6,X1)),complement(join(complement(sF5),complement(X1)))),
inference(cp,[status(thm)],[t200,t593]) ).
cnf(t33608,plain,
sF5 = join(complement(join(sF6,X1)),complement(join(sF6,complement(X1)))),
inference(step,[status(thm)],[t596,t593]) ).
cnf(t32056,plain,
join(complement(join(sF6,X1)),complement(join(sF6,complement(X1)))) = sF5,
inference(orient,[status(thm)],[t33608]) ).
cnf(t32061,plain,
sF5 = join(complement(join(sF6,sF12)),complement(join(sF6,sF13))),
inference(cp,[status(thm)],[t32056,t58]) ).
cnf(t17449,plain,
join(sF12,composition(sk1,sF4)) = composition(sk1,sk2),
inference(cp,[status(thm)],[t17447,t7973]) ).
cnf(t33334,plain,
join(sF12,sF5) = composition(sk1,sk2),
inference(step,[status(thm)],[t17449,t561]) ).
cnf(t33335,plain,
join(sF5,sF12) = composition(sk1,sk2),
inference(step,[status(thm)],[t33334,t44]) ).
cnf(t33336,plain,
join(sF5,sF12) = sF12,
inference(step,[status(thm)],[t33335,t37]) ).
cnf(t17511,plain,
join(sF5,sF12) = sF12,
inference(orient,[status(thm)],[t33336]) ).
cnf(t17513,plain,
join(sF5,join(sF12,X1)) = join(sF12,X1),
inference(cp,[status(thm)],[t78,t17511]) ).
cnf(t17725,plain,
join(sF5,join(sF12,X1)) = join(sF12,X1),
inference(orient,[status(thm)],[t17513]) ).
cnf(t594,plain,
top = join(sF5,sF6),
inference(cp,[status(thm)],[t38,t593]) ).
cnf(t606,plain,
join(sF5,sF6) = top,
inference(orient,[status(thm)],[t594]) ).
cnf(t1123,plain,
join(sF5,join(X1,sF6)) = join(X1,top),
inference(cp,[status(thm)],[t1084,t606]) ).
cnf(t32812,plain,
join(sF5,join(X1,sF6)) = top,
inference(step,[status(thm)],[t1123,t1318]) ).
cnf(t2597,plain,
join(sF5,join(X1,sF6)) = top,
inference(orient,[status(thm)],[t32812]) ).
cnf(t17732,plain,
join(sF12,sF6) = top,
inference(cp,[status(thm)],[t17725,t2597]) ).
cnf(t33338,plain,
join(sF6,sF12) = top,
inference(step,[status(thm)],[t17732,t44]) ).
cnf(t17752,plain,
join(sF6,sF12) = top,
inference(orient,[status(thm)],[t33338]) ).
cnf(t33609,plain,
sF5 = join(complement(top),complement(join(sF6,sF13))),
inference(step,[status(thm)],[t32061,t17752]) ).
cnf(t33610,plain,
sF5 = join(zero,complement(join(sF6,sF13))),
inference(step,[status(thm)],[t33609,t60]) ).
cnf(t33611,plain,
sF5 = complement(join(sF6,sF13)),
inference(step,[status(thm)],[t33610,t1617]) ).
cnf(t32140,plain,
complement(join(sF6,sF13)) = sF5,
inference(orient,[status(thm)],[t33611]) ).
cnf(t32151,plain,
join(sF6,sF13) = complement(sF5),
inference(cp,[status(thm)],[t1783,t32140]) ).
cnf(t33612,plain,
join(sF6,sF13) = sF6,
inference(step,[status(thm)],[t32151,t593]) ).
cnf(t32383,plain,
join(sF6,sF13) = sF6,
inference(orient,[status(thm)],[t33612]) ).
cnf(t32393,plain,
join(sF6,sF14) = join(sF7,sF6),
inference(cp,[status(thm)],[t3256,t32383]) ).
cnf(t33613,plain,
join(sF6,sF14) = join(sF6,sF7),
inference(step,[status(thm)],[t32393,t44]) ).
cnf(t33614,plain,
join(sF6,sF14) = sF10,
inference(step,[status(thm)],[t33613,t2018]) ).
cnf(t32402,plain,
join(sF6,sF14) = sF10,
inference(orient,[status(thm)],[t33614]) ).
cnf(t33627,plain,
sF15 = complement(sF10),
inference(step,[status(thm)],[t33626,t32402]) ).
cnf(t33628,plain,
sF15 = sF11,
inference(step,[status(thm)],[t33627,t637]) ).
cnf(t32473,plain,
sF15 = sF11,
inference(orient,[status(thm)],[t33628]) ).
cnf(t33629,plain,
complement(sF14) = sF11,
inference(step,[status(thm)],[t687,t32473]) ).
cnf(t32474,plain,
complement(sF14) = sF11,
inference(orient,[status(thm)],[t33629]) ).
cnf(u4,negated_conjecture,
meet(composition(sk1,sk2),complement(composition(sk1,sk3))) != meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(definition_unfolding,[status(thm)],[u4,d0]) ).
cnf(g0_0,plain,
complement(join(complement(composition(sk1,complement(join(sF0,complement(complement(sk3)))))),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[goal_0,t31]) ).
cnf(g0_1,plain,
complement(join(complement(composition(sk1,complement(join(sF0,sk3)))),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_0,t1783]) ).
cnf(g0_2,plain,
complement(join(complement(composition(sk1,complement(join(sF0,sF2)))),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_1,t1798]) ).
cnf(g0_3,plain,
complement(join(complement(composition(sk1,complement(sF3))),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_2,t501]) ).
cnf(g0_4,plain,
complement(join(complement(composition(sk1,sF4)),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_3,t523]) ).
cnf(g0_5,plain,
complement(join(complement(sF5),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_4,t561]) ).
cnf(g0_6,plain,
complement(join(sF6,complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_5,t593]) ).
cnf(g0_7,plain,
complement(join(sF6,composition(sk1,sk3))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_6,t1783]) ).
cnf(g0_8,plain,
complement(join(sF6,composition(sk1,sF2))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_7,t1798]) ).
cnf(g0_9,plain,
complement(join(sF6,sF7)) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_8,t2003]) ).
cnf(g0_10,plain,
complement(sF10) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_9,t2018]) ).
cnf(g0_11,plain,
sF11 != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_10,t637]) ).
cnf(g0_12,plain,
sF11 != complement(join(complement(sF12),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_11,t37]) ).
cnf(g0_13,plain,
sF11 != complement(join(sF13,complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[g0_12,t58]) ).
cnf(g0_14,plain,
sF11 != complement(join(sF13,composition(sk1,sk3))),
inference(rw,[status(thm)],[g0_13,t1783]) ).
cnf(g0_15,plain,
sF11 != complement(join(sF13,composition(sk1,sF2))),
inference(rw,[status(thm)],[g0_14,t1798]) ).
cnf(g0_16,plain,
sF11 != complement(join(sF13,sF7)),
inference(rw,[status(thm)],[g0_15,t2003]) ).
cnf(g0_17,plain,
sF11 != complement(join(sF7,sF13)),
inference(rw,[status(thm)],[g0_16,t44]) ).
cnf(g0_18,plain,
sF11 != complement(sF14),
inference(rw,[status(thm)],[g0_17,t2026]) ).
cnf(g0_19,plain,
sF11 != sF11,
inference(rw,[status(thm)],[g0_18,t32474]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL016-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.38 % Computer : n018.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 07:15:54 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 56.75/12.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.75/12.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------