%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL027-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 02:35:17 PM UTC 2026
% Result : Unsatisfiable 30.02s 4.20s
% Output : CNFRefutation 30.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 23
% Syntax : Number of clauses : 254 ( 254 unt; 0 nHn; 143 RR)
% Number of literals : 254 ( 253 equ; 14 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 : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 145 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t12,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t70,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t16778,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t12,t70]) ).
cnf(t213,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(orient,[status(thm)],[t16778]) ).
cnf(t11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16775,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t11,t70]) ).
cnf(t165,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t16775]) ).
cnf(t6,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t51,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(orient,[status(thm)],[t6]) ).
cnf(t1,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t30,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t53,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t51,t30]) ).
cnf(t101,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t53]) ).
cnf(t0,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t29,plain,
composition(X1,one) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t16,axiom,
sF0 = join(sk1,one),
introduced(definition) ).
cnf(t2,axiom,
join(sk1,one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t31,plain,
join(sk1,one) = one,
inference(orient,[status(thm)],[t2]) ).
cnf(t16758,plain,
sF0 = one,
inference(step,[status(thm)],[t16,t31]) ).
cnf(t32,plain,
one = sF0,
inference(orient,[status(thm)],[t16758]) ).
cnf(t16760,plain,
composition(X1,sF0) = X1,
inference(step,[status(thm)],[t29,t32]) ).
cnf(t34,plain,
composition(X1,sF0) = X1,
inference(rw,[status(thm)],[t16760]) ).
cnf(t39,plain,
composition(X1,sF0) = X1,
inference(orient,[status(thm)],[t34]) ).
cnf(t102,plain,
composition(converse(sF0),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t101,t39]) ).
cnf(t16770,plain,
composition(converse(sF0),X1) = X1,
inference(step,[status(thm)],[t102,t30]) ).
cnf(t105,plain,
composition(converse(sF0),X1) = X1,
inference(orient,[status(thm)],[t16770]) ).
cnf(t106,plain,
sF0 = converse(sF0),
inference(cp,[status(thm)],[t105,t39]) ).
cnf(t107,plain,
converse(sF0) = sF0,
inference(orient,[status(thm)],[t106]) ).
cnf(t179,plain,
complement(X1) = join(complement(X1),composition(sF0,complement(composition(sF0,X1)))),
inference(cp,[status(thm)],[t165,t107]) ).
cnf(t16771,plain,
composition(sF0,X1) = X1,
inference(step,[status(thm)],[t105,t107]) ).
cnf(t108,plain,
composition(sF0,X1) = X1,
inference(rw,[status(thm)],[t16771]) ).
cnf(t112,plain,
composition(sF0,X1) = X1,
inference(orient,[status(thm)],[t108]) ).
cnf(t16791,plain,
complement(X1) = join(complement(X1),complement(composition(sF0,X1))),
inference(step,[status(thm)],[t179,t112]) ).
cnf(t16792,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t16791,t112]) ).
cnf(t322,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t16792]) ).
cnf(t330,plain,
X1 = join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))),
inference(cp,[status(thm)],[t213,t322]) ).
cnf(t3,axiom,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t40,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t3]) ).
cnf(t16946,plain,
X1 = join(complement(complement(X1)),complement(top)),
inference(step,[status(thm)],[t330,t40]) ).
cnf(t16947,plain,
X1 = join(complement(top),complement(complement(X1))),
inference(step,[status(thm)],[t16946,t70]) ).
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(t5,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t16768,plain,
complement(top) = zero,
inference(step,[status(thm)],[t5,t40]) ).
cnf(t91,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t16768]) ).
cnf(t16948,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t16947,t91]) ).
cnf(t1097,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t16948]) ).
cnf(t9,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t61,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t9]) ).
cnf(t328,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t322,t91]) ).
cnf(t16805,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t328,t91]) ).
cnf(t16806,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t16805,t91]) ).
cnf(t386,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t16806]) ).
cnf(t387,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t61,t386]) ).
cnf(t1351,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t387]) ).
cnf(t1355,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t1351,t1097]) ).
cnf(t16961,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t1355,t1097]) ).
cnf(t1357,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t16961]) ).
cnf(t16963,plain,
complement(complement(X1)) = X1,
inference(step,[status(thm)],[t1097,t1357]) ).
cnf(t1359,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[t16963]) ).
cnf(t1479,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t1359]) ).
cnf(t23,axiom,
sF7 = complement(sk1),
introduced(definition) ).
cnf(t28,plain,
complement(sk1) = sF7,
inference(orient,[status(thm)],[t23]) ).
cnf(t1480,plain,
sk1 = complement(sF7),
inference(cp,[status(thm)],[t1479,t28]) ).
cnf(t24,axiom,
sF8 = complement(complement(sk1)),
introduced(definition) ).
cnf(t16761,plain,
sF8 = complement(sF7),
inference(step,[status(thm)],[t24,t28]) ).
cnf(t38,plain,
complement(sF7) = sF8,
inference(orient,[status(thm)],[t16761]) ).
cnf(t16969,plain,
sk1 = sF8,
inference(step,[status(thm)],[t1480,t38]) ).
cnf(t1493,plain,
sk1 = sF8,
inference(orient,[status(thm)],[t16969]) ).
cnf(t17,axiom,
sF1 = composition(sk1,top),
introduced(definition) ).
cnf(t37,plain,
composition(sk1,top) = sF1,
inference(orient,[status(thm)],[t17]) ).
cnf(t16970,plain,
composition(sF8,top) = sF1,
inference(step,[status(thm)],[t37,t1493]) ).
cnf(t1495,plain,
composition(sF8,top) = sF1,
inference(rw,[status(thm)],[t16970]) ).
cnf(t1631,plain,
composition(sF8,top) = sF1,
inference(orient,[status(thm)],[t1495]) ).
cnf(t20,axiom,
sF4 = complement(one),
introduced(definition) ).
cnf(t27,plain,
complement(one) = sF4,
inference(orient,[status(thm)],[t20]) ).
cnf(t16759,plain,
complement(sF0) = sF4,
inference(step,[status(thm)],[t27,t32]) ).
cnf(t33,plain,
complement(sF0) = sF4,
inference(rw,[status(thm)],[t16759]) ).
cnf(t36,plain,
complement(sF0) = sF4,
inference(orient,[status(thm)],[t33]) ).
cnf(t21,axiom,
sF5 = join(complement(complement(composition(sk1,top))),complement(one)),
introduced(definition) ).
cnf(t16834,plain,
sF5 = join(complement(one),complement(complement(composition(sk1,top)))),
inference(step,[status(thm)],[t21,t70]) ).
cnf(t16835,plain,
sF5 = join(complement(sF0),complement(complement(composition(sk1,top)))),
inference(step,[status(thm)],[t16834,t32]) ).
cnf(t16836,plain,
sF5 = join(sF4,complement(complement(composition(sk1,top)))),
inference(step,[status(thm)],[t16835,t36]) ).
cnf(t16837,plain,
sF5 = join(sF4,complement(complement(sF1))),
inference(step,[status(thm)],[t16836,t37]) ).
cnf(t18,axiom,
sF2 = complement(composition(sk1,top)),
introduced(definition) ).
cnf(t16763,plain,
sF2 = complement(sF1),
inference(step,[status(thm)],[t18,t37]) ).
cnf(t48,plain,
complement(sF1) = sF2,
inference(orient,[status(thm)],[t16763]) ).
cnf(t16838,plain,
sF5 = join(sF4,complement(sF2)),
inference(step,[status(thm)],[t16837,t48]) ).
cnf(t19,axiom,
sF3 = complement(complement(composition(sk1,top))),
introduced(definition) ).
cnf(t16766,plain,
sF3 = complement(complement(sF1)),
inference(step,[status(thm)],[t19,t37]) ).
cnf(t16767,plain,
sF3 = complement(sF2),
inference(step,[status(thm)],[t16766,t48]) ).
cnf(t86,plain,
complement(sF2) = sF3,
inference(orient,[status(thm)],[t16767]) ).
cnf(t16839,plain,
sF5 = join(sF4,sF3),
inference(step,[status(thm)],[t16838,t86]) ).
cnf(t16840,plain,
sF5 = join(sF3,sF4),
inference(step,[status(thm)],[t16839,t70]) ).
cnf(t483,plain,
join(sF3,sF4) = sF5,
inference(orient,[status(thm)],[t16840]) ).
cnf(t1481,plain,
sF1 = complement(sF2),
inference(cp,[status(thm)],[t1479,t48]) ).
cnf(t16979,plain,
sF1 = sF3,
inference(step,[status(thm)],[t1481,t86]) ).
cnf(t1511,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t16979]) ).
cnf(t16984,plain,
join(sF1,sF4) = sF5,
inference(step,[status(thm)],[t483,t1511]) ).
cnf(t1517,plain,
join(sF1,sF4) = sF5,
inference(rw,[status(thm)],[t16984]) ).
cnf(t1680,plain,
join(sF1,sF4) = sF5,
inference(orient,[status(thm)],[t1517]) ).
cnf(t25,axiom,
sF9 = join(complement(complement(sk1)),complement(one)),
introduced(definition) ).
cnf(t16859,plain,
sF9 = join(complement(one),complement(complement(sk1))),
inference(step,[status(thm)],[t25,t70]) ).
cnf(t16860,plain,
sF9 = join(complement(sF0),complement(complement(sk1))),
inference(step,[status(thm)],[t16859,t32]) ).
cnf(t16861,plain,
sF9 = join(sF4,complement(complement(sk1))),
inference(step,[status(thm)],[t16860,t36]) ).
cnf(t16862,plain,
sF9 = join(sF4,complement(sF7)),
inference(step,[status(thm)],[t16861,t28]) ).
cnf(t16863,plain,
sF9 = join(sF4,sF8),
inference(step,[status(thm)],[t16862,t38]) ).
cnf(t538,plain,
join(sF4,sF8) = sF9,
inference(orient,[status(thm)],[t16863]) ).
cnf(t7,axiom,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t54,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t7]) ).
cnf(t77,plain,
join(converse(X1),converse(X2)) = converse(join(X2,X1)),
inference(cp,[status(thm)],[t70,t54]) ).
cnf(t16902,plain,
converse(join(X1,X2)) = converse(join(X2,X1)),
inference(step,[status(thm)],[t77,t54]) ).
cnf(t780,plain,
converse(join(X1,X2)) = converse(join(X2,X1)),
inference(orient,[status(thm)],[t16902]) ).
cnf(t540,plain,
join(sF4,join(sF8,X1)) = join(sF9,X1),
inference(cp,[status(thm)],[t61,t538]) ).
cnf(t1912,plain,
join(sF4,join(sF8,X1)) = join(sF9,X1),
inference(orient,[status(thm)],[t540]) ).
cnf(t1923,plain,
converse(join(join(sF8,X1),sF4)) = converse(join(sF9,X1)),
inference(cp,[status(thm)],[t780,t1912]) ).
cnf(t168,plain,
complement(sF0) = join(sF4,composition(converse(X1),complement(composition(X1,sF0)))),
inference(cp,[status(thm)],[t165,t36]) ).
cnf(t17143,plain,
sF4 = join(sF4,composition(converse(X1),complement(composition(X1,sF0)))),
inference(step,[status(thm)],[t168,t36]) ).
cnf(t17144,plain,
sF4 = join(sF4,composition(converse(X1),complement(X1))),
inference(step,[status(thm)],[t17143,t39]) ).
cnf(t3588,plain,
join(sF4,composition(converse(X1),complement(X1))) = sF4,
inference(orient,[status(thm)],[t17144]) ).
cnf(t1099,plain,
sF0 = join(zero,complement(sF4)),
inference(cp,[status(thm)],[t1097,t36]) ).
cnf(t1144,plain,
join(zero,complement(sF4)) = sF0,
inference(orient,[status(thm)],[t1099]) ).
cnf(t16964,plain,
complement(sF4) = sF0,
inference(step,[status(thm)],[t1144,t1357]) ).
cnf(t1360,plain,
complement(sF4) = sF0,
inference(rw,[status(thm)],[t16964]) ).
cnf(t1375,plain,
complement(sF4) = sF0,
inference(orient,[status(thm)],[t1360]) ).
cnf(t3607,plain,
sF4 = join(sF4,composition(converse(sF4),sF0)),
inference(cp,[status(thm)],[t3588,t1375]) ).
cnf(t17145,plain,
sF4 = join(sF4,converse(sF4)),
inference(step,[status(thm)],[t3607,t39]) ).
cnf(t3631,plain,
join(sF4,converse(sF4)) = sF4,
inference(orient,[status(thm)],[t17145]) ).
cnf(t3636,plain,
converse(join(converse(sF4),sF4)) = converse(sF4),
inference(cp,[status(thm)],[t780,t3631]) ).
cnf(t55,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(cp,[status(thm)],[t54,t30]) ).
cnf(t148,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(orient,[status(thm)],[t55]) ).
cnf(t17146,plain,
join(sF4,converse(sF4)) = converse(sF4),
inference(step,[status(thm)],[t3636,t148]) ).
cnf(t17147,plain,
sF4 = converse(sF4),
inference(step,[status(thm)],[t17146,t3631]) ).
cnf(t3644,plain,
converse(sF4) = sF4,
inference(orient,[status(thm)],[t17147]) ).
cnf(t3651,plain,
converse(join(X1,sF4)) = join(converse(X1),sF4),
inference(cp,[status(thm)],[t54,t3644]) ).
cnf(t17154,plain,
converse(join(X1,sF4)) = join(sF4,converse(X1)),
inference(step,[status(thm)],[t3651,t70]) ).
cnf(t3839,plain,
converse(join(X1,sF4)) = join(sF4,converse(X1)),
inference(orient,[status(thm)],[t17154]) ).
cnf(t17483,plain,
join(sF4,converse(join(sF8,X1))) = converse(join(sF9,X1)),
inference(step,[status(thm)],[t1923,t3839]) ).
cnf(t13880,plain,
join(sF4,converse(join(sF8,X1))) = converse(join(sF9,X1)),
inference(orient,[status(thm)],[t17483]) ).
cnf(t10,axiom,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t122,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t10]) ).
cnf(t130,plain,
composition(join(sF0,X1),X2) = join(X2,composition(X1,X2)),
inference(cp,[status(thm)],[t122,t112]) ).
cnf(t2109,plain,
composition(join(sF0,X1),X2) = join(X2,composition(X1,X2)),
inference(orient,[status(thm)],[t130]) ).
cnf(t110,plain,
converse(join(sF0,X1)) = join(sF0,converse(X1)),
inference(cp,[status(thm)],[t54,t107]) ).
cnf(t113,plain,
converse(join(sF0,X1)) = join(sF0,converse(X1)),
inference(orient,[status(thm)],[t110]) ).
cnf(t42,plain,
top = join(sF0,sF4),
inference(cp,[status(thm)],[t40,t36]) ).
cnf(t46,plain,
join(sF0,sF4) = top,
inference(orient,[status(thm)],[t42]) ).
cnf(t66,plain,
join(sF0,join(sF4,X1)) = join(top,X1),
inference(cp,[status(thm)],[t61,t46]) ).
cnf(t186,plain,
join(sF0,join(sF4,X1)) = join(top,X1),
inference(orient,[status(thm)],[t66]) ).
cnf(t541,plain,
join(top,sF8) = join(sF0,sF9),
inference(cp,[status(thm)],[t186,t538]) ).
cnf(t16864,plain,
join(sF8,top) = join(sF0,sF9),
inference(step,[status(thm)],[t541,t70]) ).
cnf(t43,plain,
top = join(sF7,sF8),
inference(cp,[status(thm)],[t40,t38]) ).
cnf(t47,plain,
join(sF7,sF8) = top,
inference(orient,[status(thm)],[t43]) ).
cnf(t67,plain,
join(sF7,join(sF8,X1)) = join(top,X1),
inference(cp,[status(thm)],[t61,t47]) ).
cnf(t194,plain,
join(sF7,join(sF8,X1)) = join(top,X1),
inference(orient,[status(thm)],[t67]) ).
cnf(t325,plain,
complement(sF7) = join(sF8,complement(sF7)),
inference(cp,[status(thm)],[t322,t38]) ).
cnf(t16799,plain,
sF8 = join(sF8,complement(sF7)),
inference(step,[status(thm)],[t325,t38]) ).
cnf(t16800,plain,
sF8 = join(sF8,sF8),
inference(step,[status(thm)],[t16799,t38]) ).
cnf(t377,plain,
join(sF8,sF8) = sF8,
inference(orient,[status(thm)],[t16800]) ).
cnf(t379,plain,
join(top,sF8) = join(sF7,sF8),
inference(cp,[status(thm)],[t194,t377]) ).
cnf(t16809,plain,
join(sF8,top) = join(sF7,sF8),
inference(step,[status(thm)],[t379,t70]) ).
cnf(t16810,plain,
join(sF8,top) = top,
inference(step,[status(thm)],[t16809,t47]) ).
cnf(t392,plain,
join(sF8,top) = top,
inference(orient,[status(thm)],[t16810]) ).
cnf(t16865,plain,
top = join(sF0,sF9),
inference(step,[status(thm)],[t16864,t392]) ).
cnf(t542,plain,
join(sF0,sF9) = top,
inference(orient,[status(thm)],[t16865]) ).
cnf(t545,plain,
join(sF0,converse(sF9)) = converse(top),
inference(cp,[status(thm)],[t113,t542]) ).
cnf(t546,plain,
join(sF0,converse(sF9)) = converse(top),
inference(orient,[status(thm)],[t545]) ).
cnf(t62,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(cp,[status(thm)],[t61,t40]) ).
cnf(t645,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(orient,[status(thm)],[t62]) ).
cnf(t661,plain,
top = join(complement(X1),join(complement(X1),complement(complement(X1)))),
inference(cp,[status(thm)],[t645,t322]) ).
cnf(t16885,plain,
top = join(complement(X1),top),
inference(step,[status(thm)],[t661,t40]) ).
cnf(t16886,plain,
top = join(top,complement(X1)),
inference(step,[status(thm)],[t16885,t70]) ).
cnf(t711,plain,
join(top,complement(X1)) = top,
inference(orient,[status(thm)],[t16886]) ).
cnf(t726,plain,
top = join(X1,top),
inference(cp,[status(thm)],[t645,t711]) ).
cnf(t747,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t726]) ).
cnf(t762,plain,
join(X1,converse(top)) = converse(top),
inference(cp,[status(thm)],[t148,t747]) ).
cnf(t859,plain,
join(X1,converse(top)) = converse(top),
inference(orient,[status(thm)],[t762]) ).
cnf(t760,plain,
top = join(top,X1),
inference(cp,[status(thm)],[t747,t70]) ).
cnf(t822,plain,
join(top,X1) = top,
inference(orient,[status(thm)],[t760]) ).
cnf(t861,plain,
converse(top) = top,
inference(cp,[status(thm)],[t859,t822]) ).
cnf(t865,plain,
converse(top) = top,
inference(orient,[status(thm)],[t861]) ).
cnf(t16941,plain,
join(sF0,converse(sF9)) = top,
inference(step,[status(thm)],[t546,t865]) ).
cnf(t872,plain,
join(sF0,converse(sF9)) = top,
inference(orient,[status(thm)],[t16941]) ).
cnf(t2120,plain,
join(X1,composition(converse(sF9),X1)) = composition(top,X1),
inference(cp,[status(thm)],[t2109,t872]) ).
cnf(t16456,plain,
join(X1,composition(converse(sF9),X1)) = composition(top,X1),
inference(orient,[status(thm)],[t2120]) ).
cnf(t16469,plain,
join(X1,converse(composition(converse(sF9),converse(X1)))) = converse(composition(top,converse(X1))),
inference(cp,[status(thm)],[t148,t16456]) ).
cnf(t52,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(cp,[status(thm)],[t51,t30]) ).
cnf(t96,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(orient,[status(thm)],[t52]) ).
cnf(t17559,plain,
join(X1,composition(X1,converse(converse(sF9)))) = converse(composition(top,converse(X1))),
inference(step,[status(thm)],[t16469,t96]) ).
cnf(t17560,plain,
join(X1,composition(X1,sF9)) = converse(composition(top,converse(X1))),
inference(step,[status(thm)],[t17559,t30]) ).
cnf(t17561,plain,
join(X1,composition(X1,sF9)) = composition(X1,converse(top)),
inference(step,[status(thm)],[t17560,t96]) ).
cnf(t17562,plain,
join(X1,composition(X1,sF9)) = composition(X1,top),
inference(step,[status(thm)],[t17561,t865]) ).
cnf(t16513,plain,
join(X1,composition(X1,sF9)) = composition(X1,top),
inference(orient,[status(thm)],[t17562]) ).
cnf(t16557,plain,
converse(join(sF9,composition(sF8,sF9))) = join(sF4,converse(composition(sF8,top))),
inference(cp,[status(thm)],[t13880,t16513]) ).
cnf(t35,plain,
join(sk1,sF0) = one,
inference(rw,[status(thm)],[t31]) ).
cnf(t16762,plain,
join(sk1,sF0) = sF0,
inference(step,[status(thm)],[t35,t32]) ).
cnf(t44,plain,
join(sk1,sF0) = sF0,
inference(orient,[status(thm)],[t16762]) ).
cnf(t16764,plain,
join(sF0,sk1) = sF0,
inference(step,[status(thm)],[t44,t70]) ).
cnf(t71,plain,
join(sF0,sk1) = sF0,
inference(rw,[status(thm)],[t16764]) ).
cnf(t80,plain,
join(sF0,sk1) = sF0,
inference(orient,[status(thm)],[t71]) ).
cnf(t82,plain,
join(sF0,join(sk1,X1)) = join(sF0,X1),
inference(cp,[status(thm)],[t61,t80]) ).
cnf(t208,plain,
join(sF0,join(sk1,X1)) = join(sF0,X1),
inference(orient,[status(thm)],[t82]) ).
cnf(t211,plain,
join(sF0,X1) = join(sF0,join(X1,sk1)),
inference(cp,[status(thm)],[t208,t70]) ).
cnf(t616,plain,
join(sF0,join(X1,sk1)) = join(sF0,X1),
inference(orient,[status(thm)],[t211]) ).
cnf(t378,plain,
join(sF8,join(sF8,X1)) = join(sF8,X1),
inference(cp,[status(thm)],[t61,t377]) ).
cnf(t1232,plain,
join(sF8,join(sF8,X1)) = join(sF8,X1),
inference(orient,[status(thm)],[t378]) ).
cnf(t1098,plain,
sk1 = join(zero,complement(sF7)),
inference(cp,[status(thm)],[t1097,t28]) ).
cnf(t16949,plain,
sk1 = join(zero,sF8),
inference(step,[status(thm)],[t1098,t38]) ).
cnf(t16950,plain,
sk1 = join(sF8,zero),
inference(step,[status(thm)],[t16949,t70]) ).
cnf(t1111,plain,
join(sF8,zero) = sk1,
inference(orient,[status(thm)],[t16950]) ).
cnf(t1236,plain,
join(sF8,zero) = join(sF8,sk1),
inference(cp,[status(thm)],[t1232,t1111]) ).
cnf(t16955,plain,
sk1 = join(sF8,sk1),
inference(step,[status(thm)],[t1236,t1111]) ).
cnf(t1239,plain,
join(sF8,sk1) = sk1,
inference(orient,[status(thm)],[t16955]) ).
cnf(t1243,plain,
join(sF0,sF8) = join(sF0,sk1),
inference(cp,[status(thm)],[t616,t1239]) ).
cnf(t16956,plain,
join(sF0,sF8) = sF0,
inference(step,[status(thm)],[t1243,t80]) ).
cnf(t1276,plain,
join(sF0,sF8) = sF0,
inference(orient,[status(thm)],[t16956]) ).
cnf(t2125,plain,
join(X1,composition(sF8,X1)) = composition(sF0,X1),
inference(cp,[status(thm)],[t2109,t1276]) ).
cnf(t17136,plain,
join(X1,composition(sF8,X1)) = X1,
inference(step,[status(thm)],[t2125,t112]) ).
cnf(t3449,plain,
join(X1,composition(sF8,X1)) = X1,
inference(orient,[status(thm)],[t17136]) ).
cnf(t17564,plain,
converse(sF9) = join(sF4,converse(composition(sF8,top))),
inference(step,[status(thm)],[t16557,t3449]) ).
cnf(t875,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(cp,[status(thm)],[t51,t865]) ).
cnf(t1007,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(orient,[status(thm)],[t875]) ).
cnf(t17565,plain,
converse(sF9) = join(sF4,composition(top,converse(sF8))),
inference(step,[status(thm)],[t17564,t1007]) ).
cnf(t1008,plain,
composition(top,converse(sk1)) = converse(sF1),
inference(cp,[status(thm)],[t1007,t37]) ).
cnf(t1041,plain,
composition(top,converse(sk1)) = converse(sF1),
inference(orient,[status(thm)],[t1008]) ).
cnf(t16976,plain,
composition(top,converse(sF8)) = converse(sF1),
inference(step,[status(thm)],[t1041,t1493]) ).
cnf(t1506,plain,
composition(top,converse(sF8)) = converse(sF1),
inference(rw,[status(thm)],[t16976]) ).
cnf(t1783,plain,
composition(top,converse(sF8)) = converse(sF1),
inference(orient,[status(thm)],[t1506]) ).
cnf(t17566,plain,
converse(sF9) = join(sF4,converse(sF1)),
inference(step,[status(thm)],[t17565,t1783]) ).
cnf(t3841,plain,
join(sF4,converse(sF1)) = converse(sF5),
inference(cp,[status(thm)],[t3839,t1680]) ).
cnf(t3943,plain,
join(sF4,converse(sF1)) = converse(sF5),
inference(orient,[status(thm)],[t3841]) ).
cnf(t17567,plain,
converse(sF9) = converse(sF5),
inference(step,[status(thm)],[t17566,t3943]) ).
cnf(t16558,plain,
converse(sF9) = converse(sF5),
inference(orient,[status(thm)],[t17567]) ).
cnf(t16573,plain,
sF9 = converse(converse(sF5)),
inference(cp,[status(thm)],[t30,t16558]) ).
cnf(t17576,plain,
sF9 = sF5,
inference(step,[status(thm)],[t16573,t30]) ).
cnf(t16675,plain,
sF9 = sF5,
inference(orient,[status(thm)],[t17576]) ).
cnf(t17577,plain,
join(sF4,sF8) = sF5,
inference(step,[status(thm)],[t538,t16675]) ).
cnf(t16676,plain,
join(sF4,sF8) = sF5,
inference(orient,[status(thm)],[t17577]) ).
cnf(u4,negated_conjecture,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
complement(join(complement(complement(composition(sk1,top))),complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(definition_unfolding,[status(thm)],[u4,d0]) ).
cnf(g0_0,plain,
complement(join(composition(sk1,top),complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(rw,[status(thm)],[goal_0,t1479]) ).
cnf(g0_1,plain,
complement(join(composition(sF8,top),complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(rw,[status(thm)],[g0_0,t1493]) ).
cnf(g0_2,plain,
complement(join(sF1,complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(rw,[status(thm)],[g0_1,t1631]) ).
cnf(g0_3,plain,
complement(join(sF1,complement(sF0))) != complement(join(complement(complement(sk1)),complement(one))),
inference(rw,[status(thm)],[g0_2,t32]) ).
cnf(g0_4,plain,
complement(join(sF1,sF4)) != complement(join(complement(complement(sk1)),complement(one))),
inference(rw,[status(thm)],[g0_3,t36]) ).
cnf(g0_5,plain,
complement(sF5) != complement(join(complement(complement(sk1)),complement(one))),
inference(rw,[status(thm)],[g0_4,t1680]) ).
cnf(g0_6,plain,
complement(sF5) != complement(join(sk1,complement(one))),
inference(rw,[status(thm)],[g0_5,t1479]) ).
cnf(g0_7,plain,
complement(sF5) != complement(join(sF8,complement(one))),
inference(rw,[status(thm)],[g0_6,t1493]) ).
cnf(g0_8,plain,
complement(sF5) != complement(join(sF8,complement(sF0))),
inference(rw,[status(thm)],[g0_7,t32]) ).
cnf(g0_9,plain,
complement(sF5) != complement(join(sF8,sF4)),
inference(rw,[status(thm)],[g0_8,t36]) ).
cnf(g0_10,plain,
complement(sF5) != complement(join(sF4,sF8)),
inference(rw,[status(thm)],[g0_9,t70]) ).
cnf(g0_11,plain,
complement(sF5) != complement(sF5),
inference(rw,[status(thm)],[g0_10,t16676]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL027-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n010.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 07:23:13 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.02/4.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.02/4.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------