%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL006-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 02:34:39 PM UTC 2026
% Result : Unsatisfiable 8.09s 6.68s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 15
% Syntax : Number of clauses : 178 ( 178 unt; 0 nHn; 60 RR)
% Number of literals : 178 ( 177 equ; 5 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 188 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t14,axiom,
sFlat0 = converse(sk2),
introduced(definition) ).
cnf(t54,plain,
converse(sk2) = sFlat0,
inference(orient,[status(thm)],[t14]) ).
cnf(t6,axiom,
complement(join(complement(X1),complement(X2))) = meet(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t41,plain,
complement(join(complement(X1),complement(X2))) = meet(X1,X2),
inference(orient,[status(thm)],[t6]) ).
cnf(t5,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t21,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t43,plain,
meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(cp,[status(thm)],[t41,t21]) ).
cnf(t7246,plain,
meet(X1,X2) = meet(X2,X1),
inference(step,[status(thm)],[t43,t41]) ).
cnf(t163,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t7246]) ).
cnf(t15,axiom,
sFlat1 = meet(sk1,converse(sk2)),
introduced(definition) ).
cnf(t7239,plain,
sFlat1 = meet(sk1,sFlat0),
inference(step,[status(thm)],[t15,t54]) ).
cnf(t70,plain,
meet(sk1,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t7239]) ).
cnf(t165,plain,
meet(sk1,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t70]) ).
cnf(t7248,plain,
meet(sFlat0,sk1) = sFlat1,
inference(step,[status(thm)],[t165,t163]) ).
cnf(t168,plain,
meet(sFlat0,sk1) = sFlat1,
inference(orient,[status(thm)],[t7248]) ).
cnf(t1,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t13,axiom,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
inference(orient,[status(thm)],[t13]) ).
cnf(t22,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[t16]) ).
cnf(t7255,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(step,[status(thm)],[t22,t21]) ).
cnf(t7256,plain,
join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1,
inference(step,[status(thm)],[t7255,t41]) ).
cnf(t7257,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(step,[status(thm)],[t7256,t21]) ).
cnf(t333,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(orient,[status(thm)],[t7257]) ).
cnf(t10,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t10]) ).
cnf(t24,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t23,t21]) ).
cnf(t642,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t24]) ).
cnf(t2,axiom,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
join(X1,complement(X1)) = top,
inference(orient,[status(thm)],[t2]) ).
cnf(t654,plain,
join(complement(X1),join(X2,X1)) = join(X2,top),
inference(cp,[status(thm)],[t642,t26]) ).
cnf(t7314,plain,
join(X1,join(complement(X1),X2)) = join(X2,top),
inference(step,[status(thm)],[t654,t642]) ).
cnf(t12,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7238,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(step,[status(thm)],[t12,t21]) ).
cnf(t37,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(orient,[status(thm)],[t7238]) ).
cnf(t7,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t48,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(orient,[status(thm)],[t7]) ).
cnf(t50,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t48,t19]) ).
cnf(t254,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t50]) ).
cnf(t0,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t20,plain,
composition(X1,one) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t255,plain,
composition(converse(one),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t254,t20]) ).
cnf(t7250,plain,
composition(converse(one),X1) = X1,
inference(step,[status(thm)],[t255,t19]) ).
cnf(t273,plain,
composition(converse(one),X1) = X1,
inference(orient,[status(thm)],[t7250]) ).
cnf(t274,plain,
one = converse(one),
inference(cp,[status(thm)],[t273,t20]) ).
cnf(t280,plain,
converse(one) = one,
inference(orient,[status(thm)],[t274]) ).
cnf(t7251,plain,
composition(one,X1) = X1,
inference(step,[status(thm)],[t273,t280]) ).
cnf(t290,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[t7251]) ).
cnf(t291,plain,
composition(one,X1) = X1,
inference(orient,[status(thm)],[t290]) ).
cnf(t294,plain,
complement(X1) = join(complement(X1),composition(converse(one),complement(X1))),
inference(cp,[status(thm)],[t37,t291]) ).
cnf(t7253,plain,
complement(X1) = join(complement(X1),composition(one,complement(X1))),
inference(step,[status(thm)],[t294,t280]) ).
cnf(t7254,plain,
complement(X1) = join(complement(X1),complement(X1)),
inference(step,[status(thm)],[t7253,t291]) ).
cnf(t322,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(orient,[status(thm)],[t7254]) ).
cnf(t341,plain,
X1 = join(meet(X1,complement(X1)),complement(complement(X1))),
inference(cp,[status(thm)],[t333,t322]) ).
cnf(t7262,plain,
X1 = join(complement(complement(X1)),meet(X1,complement(X1))),
inference(step,[status(thm)],[t341,t21]) ).
cnf(t3,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t67,plain,
meet(X1,complement(X1)) = zero,
inference(orient,[status(thm)],[t3]) ).
cnf(t7263,plain,
X1 = join(complement(complement(X1)),zero),
inference(step,[status(thm)],[t7262,t67]) ).
cnf(t7264,plain,
X1 = join(zero,complement(complement(X1))),
inference(step,[status(thm)],[t7263,t21]) ).
cnf(t356,plain,
join(zero,complement(complement(X1))) = X1,
inference(orient,[status(thm)],[t7264]) ).
cnf(t42,plain,
meet(X1,complement(X1)) = complement(top),
inference(cp,[status(thm)],[t41,t26]) ).
cnf(t7240,plain,
zero = complement(top),
inference(step,[status(thm)],[t42,t67]) ).
cnf(t77,plain,
complement(top) = zero,
inference(orient,[status(thm)],[t7240]) ).
cnf(t326,plain,
complement(top) = join(zero,complement(top)),
inference(cp,[status(thm)],[t322,t77]) ).
cnf(t7258,plain,
zero = join(zero,complement(top)),
inference(step,[status(thm)],[t326,t77]) ).
cnf(t7259,plain,
zero = join(zero,zero),
inference(step,[status(thm)],[t7258,t77]) ).
cnf(t349,plain,
join(zero,zero) = zero,
inference(orient,[status(thm)],[t7259]) ).
cnf(t350,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(cp,[status(thm)],[t23,t349]) ).
cnf(t381,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(orient,[status(thm)],[t350]) ).
cnf(t383,plain,
join(zero,complement(complement(X1))) = join(zero,X1),
inference(cp,[status(thm)],[t381,t356]) ).
cnf(t7265,plain,
X1 = join(zero,X1),
inference(step,[status(thm)],[t383,t356]) ).
cnf(t386,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t7265]) ).
cnf(t7268,plain,
complement(complement(X1)) = X1,
inference(step,[status(thm)],[t356,t386]) ).
cnf(t395,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[t7268]) ).
cnf(t416,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t395]) ).
cnf(t419,plain,
complement(complement(X1)) = join(X1,complement(complement(X1))),
inference(cp,[status(thm)],[t322,t416]) ).
cnf(t7276,plain,
X1 = join(X1,complement(complement(X1))),
inference(step,[status(thm)],[t419,t416]) ).
cnf(t7277,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t7276,t416]) ).
cnf(t431,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t7277]) ).
cnf(t433,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t23,t431]) ).
cnf(t519,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t433]) ).
cnf(t521,plain,
join(X1,complement(X1)) = join(X1,top),
inference(cp,[status(thm)],[t519,t26]) ).
cnf(t7284,plain,
top = join(X1,top),
inference(step,[status(thm)],[t521,t26]) ).
cnf(t530,plain,
join(X1,top) = top,
inference(orient,[status(thm)],[t7284]) ).
cnf(t7315,plain,
join(X1,join(complement(X1),X2)) = top,
inference(step,[status(thm)],[t7314,t530]) ).
cnf(t794,plain,
join(X1,join(complement(X1),X2)) = top,
inference(orient,[status(thm)],[t7315]) ).
cnf(t807,plain,
X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)),
inference(cp,[status(thm)],[t333,t794]) ).
cnf(t7316,plain,
X1 = join(complement(top),meet(X1,join(complement(complement(X1)),X2))),
inference(step,[status(thm)],[t807,t21]) ).
cnf(t7317,plain,
X1 = join(zero,meet(X1,join(complement(complement(X1)),X2))),
inference(step,[status(thm)],[t7316,t77]) ).
cnf(t7318,plain,
X1 = meet(X1,join(complement(complement(X1)),X2)),
inference(step,[status(thm)],[t7317,t386]) ).
cnf(t7319,plain,
X1 = meet(X1,join(X1,X2)),
inference(step,[status(thm)],[t7318,t416]) ).
cnf(t814,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t7319]) ).
cnf(t8,axiom,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t29,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t8]) ).
cnf(t820,plain,
converse(X1) = meet(converse(X1),converse(join(X1,X2))),
inference(cp,[status(thm)],[t814,t29]) ).
cnf(t2220,plain,
meet(converse(X1),converse(join(X1,X2))) = converse(X1),
inference(orient,[status(thm)],[t820]) ).
cnf(t523,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1),
inference(cp,[status(thm)],[t519,t333]) ).
cnf(t7298,plain,
X1 = join(meet(X1,X2),X1),
inference(step,[status(thm)],[t523,t333]) ).
cnf(t7299,plain,
X1 = join(X1,meet(X1,X2)),
inference(step,[status(thm)],[t7298,t21]) ).
cnf(t574,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t7299]) ).
cnf(t577,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t574,t163]) ).
cnf(t589,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t577]) ).
cnf(t591,plain,
sk1 = join(sk1,sFlat1),
inference(cp,[status(thm)],[t589,t168]) ).
cnf(t7301,plain,
sk1 = join(sFlat1,sk1),
inference(step,[status(thm)],[t591,t21]) ).
cnf(t598,plain,
join(sFlat1,sk1) = sk1,
inference(orient,[status(thm)],[t7301]) ).
cnf(t599,plain,
join(sFlat1,join(sk1,X1)) = join(sk1,X1),
inference(cp,[status(thm)],[t23,t598]) ).
cnf(t733,plain,
join(sFlat1,join(sk1,X1)) = join(sk1,X1),
inference(orient,[status(thm)],[t599]) ).
cnf(t2240,plain,
converse(sFlat1) = meet(converse(sFlat1),converse(join(sk1,X1))),
inference(cp,[status(thm)],[t2220,t733]) ).
cnf(t2408,plain,
meet(converse(sFlat1),converse(join(sk1,X1))) = converse(sFlat1),
inference(orient,[status(thm)],[t2240]) ).
cnf(t32,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(cp,[status(thm)],[t29,t19]) ).
cnf(t214,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(orient,[status(thm)],[t32]) ).
cnf(t2410,plain,
converse(sFlat1) = meet(converse(sFlat1),join(converse(sk1),X1)),
inference(cp,[status(thm)],[t2408,t214]) ).
cnf(t2429,plain,
meet(converse(sFlat1),join(converse(sk1),X1)) = converse(sFlat1),
inference(orient,[status(thm)],[t2410]) ).
cnf(t417,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(cp,[status(thm)],[t416,t41]) ).
cnf(t937,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(orient,[status(thm)],[t417]) ).
cnf(t940,plain,
complement(meet(X1,complement(X2))) = join(complement(X1),X2),
inference(cp,[status(thm)],[t937,t416]) ).
cnf(t1034,plain,
complement(meet(X1,complement(X2))) = join(complement(X1),X2),
inference(orient,[status(thm)],[t940]) ).
cnf(t1040,plain,
meet(X1,complement(X2)) = complement(join(complement(X1),X2)),
inference(cp,[status(thm)],[t416,t1034]) ).
cnf(t1299,plain,
complement(join(complement(X1),X2)) = meet(X1,complement(X2)),
inference(orient,[status(thm)],[t1040]) ).
cnf(t7347,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(step,[status(thm)],[t333,t1299]) ).
cnf(t1325,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[t7347]) ).
cnf(t6984,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(orient,[status(thm)],[t1325]) ).
cnf(t4,axiom,
meet(converse(sk1),sk2) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t69,plain,
meet(converse(sk1),sk2) = zero,
inference(orient,[status(thm)],[t4]) ).
cnf(t166,plain,
meet(converse(sk1),sk2) = zero,
inference(rw,[status(thm)],[t69]) ).
cnf(t7249,plain,
meet(sk2,converse(sk1)) = zero,
inference(step,[status(thm)],[t166,t163]) ).
cnf(t169,plain,
meet(sk2,converse(sk1)) = zero,
inference(orient,[status(thm)],[t7249]) ).
cnf(t7018,plain,
sk2 = join(zero,meet(sk2,complement(converse(sk1)))),
inference(cp,[status(thm)],[t6984,t169]) ).
cnf(t7482,plain,
sk2 = meet(sk2,complement(converse(sk1))),
inference(step,[status(thm)],[t7018,t386]) ).
cnf(t7075,plain,
meet(sk2,complement(converse(sk1))) = sk2,
inference(orient,[status(thm)],[t7482]) ).
cnf(t7093,plain,
join(complement(sk2),converse(sk1)) = complement(sk2),
inference(cp,[status(thm)],[t1034,t7075]) ).
cnf(t7483,plain,
join(converse(sk1),complement(sk2)) = complement(sk2),
inference(step,[status(thm)],[t7093,t21]) ).
cnf(t7097,plain,
join(converse(sk1),complement(sk2)) = complement(sk2),
inference(orient,[status(thm)],[t7483]) ).
cnf(t7109,plain,
converse(sFlat1) = meet(converse(sFlat1),complement(sk2)),
inference(cp,[status(thm)],[t2429,t7097]) ).
cnf(t939,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(cp,[status(thm)],[t937,t416]) ).
cnf(t1018,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(orient,[status(thm)],[t939]) ).
cnf(t1025,plain,
meet(complement(X1),X2) = complement(join(X1,complement(X2))),
inference(cp,[status(thm)],[t416,t1018]) ).
cnf(t1050,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t1025]) ).
cnf(t949,plain,
top = join(X1,complement(meet(X1,X2))),
inference(cp,[status(thm)],[t794,t937]) ).
cnf(t986,plain,
join(X1,complement(meet(X1,X2))) = top,
inference(orient,[status(thm)],[t949]) ).
cnf(t822,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t814,t21]) ).
cnf(t835,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t822]) ).
cnf(t55,plain,
sk2 = converse(sFlat0),
inference(cp,[status(thm)],[t19,t54]) ).
cnf(t71,plain,
converse(sFlat0) = sk2,
inference(orient,[status(thm)],[t55]) ).
cnf(t74,plain,
converse(join(sFlat0,X1)) = join(sk2,converse(X1)),
inference(cp,[status(thm)],[t29,t71]) ).
cnf(t142,plain,
converse(join(sFlat0,X1)) = join(sk2,converse(X1)),
inference(orient,[status(thm)],[t74]) ).
cnf(t576,plain,
sFlat0 = join(sFlat0,sFlat1),
inference(cp,[status(thm)],[t574,t168]) ).
cnf(t584,plain,
join(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t576]) ).
cnf(t585,plain,
join(sk2,converse(sFlat1)) = converse(sFlat0),
inference(cp,[status(thm)],[t142,t584]) ).
cnf(t7300,plain,
join(sk2,converse(sFlat1)) = sk2,
inference(step,[status(thm)],[t585,t71]) ).
cnf(t587,plain,
join(sk2,converse(sFlat1)) = sk2,
inference(orient,[status(thm)],[t7300]) ).
cnf(t846,plain,
converse(sFlat1) = meet(converse(sFlat1),sk2),
inference(cp,[status(thm)],[t835,t587]) ).
cnf(t7321,plain,
converse(sFlat1) = meet(sk2,converse(sFlat1)),
inference(step,[status(thm)],[t846,t163]) ).
cnf(t862,plain,
meet(sk2,converse(sFlat1)) = converse(sFlat1),
inference(orient,[status(thm)],[t7321]) ).
cnf(t989,plain,
top = join(sk2,complement(converse(sFlat1))),
inference(cp,[status(thm)],[t986,t862]) ).
cnf(t1001,plain,
join(sk2,complement(converse(sFlat1))) = top,
inference(orient,[status(thm)],[t989]) ).
cnf(t1058,plain,
meet(complement(sk2),converse(sFlat1)) = complement(top),
inference(cp,[status(thm)],[t1050,t1001]) ).
cnf(t7334,plain,
meet(converse(sFlat1),complement(sk2)) = complement(top),
inference(step,[status(thm)],[t1058,t163]) ).
cnf(t7335,plain,
meet(converse(sFlat1),complement(sk2)) = zero,
inference(step,[status(thm)],[t7334,t77]) ).
cnf(t1084,plain,
meet(converse(sFlat1),complement(sk2)) = zero,
inference(orient,[status(thm)],[t7335]) ).
cnf(t7484,plain,
converse(sFlat1) = zero,
inference(step,[status(thm)],[t7109,t1084]) ).
cnf(t7123,plain,
converse(sFlat1) = zero,
inference(orient,[status(thm)],[t7484]) ).
cnf(t7124,plain,
sFlat1 = converse(zero),
inference(cp,[status(thm)],[t19,t7123]) ).
cnf(t392,plain,
join(converse(zero),X1) = converse(converse(X1)),
inference(cp,[status(thm)],[t214,t386]) ).
cnf(t7281,plain,
join(converse(zero),X1) = X1,
inference(step,[status(thm)],[t392,t19]) ).
cnf(t442,plain,
join(converse(zero),X1) = X1,
inference(orient,[status(thm)],[t7281]) ).
cnf(t388,plain,
X1 = join(X1,zero),
inference(cp,[status(thm)],[t386,t21]) ).
cnf(t407,plain,
join(X1,zero) = X1,
inference(orient,[status(thm)],[t388]) ).
cnf(t444,plain,
zero = converse(zero),
inference(cp,[status(thm)],[t442,t407]) ).
cnf(t446,plain,
converse(zero) = zero,
inference(orient,[status(thm)],[t444]) ).
cnf(t7487,plain,
sFlat1 = zero,
inference(step,[status(thm)],[t7124,t446]) ).
cnf(t7138,plain,
zero = sFlat1,
inference(orient,[status(thm)],[t7487]) ).
cnf(goal_0,negated_conjecture,
meet(sk1,converse(sk2)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(sk1,sFlat0) != zero,
inference(rw,[status(thm)],[goal_0,t54]) ).
cnf(g0_1,plain,
meet(sFlat0,sk1) != zero,
inference(rw,[status(thm)],[g0_0,t163]) ).
cnf(g0_2,plain,
sFlat1 != zero,
inference(rw,[status(thm)],[g0_1,t168]) ).
cnf(g0_3,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_2,t7138]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL006-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.37 % Computer : n001.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 07:16:27 UTC 2026
% 0.08/5.38 % CPUTime :
% 0.08/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.09/6.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.09/6.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------