%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT145-1 : TPTP v9.3.1. Released v3.1.0.
% 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 01:55:35 PM UTC 2026
% Result : Unsatisfiable 120.41s 17.71s
% Output : CNFRefutation 120.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 17
% Syntax : Number of clauses : 250 ( 250 unt; 0 nHn; 146 RR)
% Number of literals : 250 ( 249 equ; 22 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 185 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t67,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t12,axiom,
sFlat3 = join(a,b),
introduced(definition) ).
cnf(t62219,plain,
sFlat3 = join(b,a),
inference(step,[status(thm)],[t12,t67]) ).
cnf(t81,plain,
join(b,a) = sFlat3,
inference(orient,[status(thm)],[t62219]) ).
cnf(t4,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t20,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t13,axiom,
sFlat4 = meet(c,join(a,b)),
introduced(definition) ).
cnf(t62,plain,
meet(c,join(a,b)) = sFlat4,
inference(orient,[status(thm)],[t13]) ).
cnf(t68,plain,
meet(c,join(a,b)) = sFlat4,
inference(rw,[status(thm)],[t62]) ).
cnf(t62233,plain,
meet(c,join(b,a)) = sFlat4,
inference(step,[status(thm)],[t68,t67]) ).
cnf(t62234,plain,
meet(c,sFlat3) = sFlat4,
inference(step,[status(thm)],[t62233,t81]) ).
cnf(t62235,plain,
meet(sFlat3,c) = sFlat4,
inference(step,[status(thm)],[t62234,t20]) ).
cnf(t145,plain,
meet(sFlat3,c) = sFlat4,
inference(orient,[status(thm)],[t62235]) ).
cnf(t8,axiom,
meet(X1,join(X2,meet(X3,join(meet(X1,X4),meet(X2,X4))))) = meet(X1,join(X2,meet(X1,meet(X3,X4)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t29,plain,
meet(X1,join(X2,meet(X3,join(meet(X1,X4),meet(X2,X4))))) = meet(X1,join(X2,meet(X1,meet(X3,X4)))),
inference(orient,[status(thm)],[t8]) ).
cnf(t5,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t40,plain,
meet(X1,join(X2,meet(X1,meet(X3,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(meet(X1,join(X2,X4)),X2)))),
inference(cp,[status(thm)],[t29,t17]) ).
cnf(t62477,plain,
meet(X1,join(X2,meet(X1,meet(X3,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X2,meet(X1,join(X2,X4)))))),
inference(step,[status(thm)],[t40,t67]) ).
cnf(t4997,plain,
meet(X1,join(X2,meet(X3,join(X2,meet(X1,join(X2,X4)))))) = meet(X1,join(X2,meet(X1,meet(X3,join(X2,X4))))),
inference(orient,[status(thm)],[t62477]) ).
cnf(t6,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t69,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t72,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t69,t67]) ).
cnf(t272,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t72]) ).
cnf(t277,plain,
X1 = meet(X1,join(X2,join(X3,X1))),
inference(cp,[status(thm)],[t17,t272]) ).
cnf(t733,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(orient,[status(thm)],[t277]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t73,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t69,t18]) ).
cnf(t158,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t73]) ).
cnf(t735,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t733,t158]) ).
cnf(t812,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t735]) ).
cnf(t5009,plain,
meet(X1,join(X2,meet(X1,meet(X3,join(X2,X1))))) = meet(X1,join(X2,meet(X3,join(X2,X1)))),
inference(cp,[status(thm)],[t4997,t812]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t744,plain,
meet(X1,X2) = meet(meet(X1,X2),join(X3,X1)),
inference(cp,[status(thm)],[t733,t19]) ).
cnf(t7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t21,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t62309,plain,
meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))),
inference(step,[status(thm)],[t744,t21]) ).
cnf(t1219,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(orient,[status(thm)],[t62309]) ).
cnf(t63641,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X2,X1)))),
inference(step,[status(thm)],[t5009,t1219]) ).
cnf(t60040,plain,
meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X1,X3))),
inference(orient,[status(thm)],[t63641]) ).
cnf(t60360,plain,
meet(a,join(b,meet(a,X1))) = meet(a,join(b,meet(X1,sFlat3))),
inference(cp,[status(thm)],[t60040,t81]) ).
cnf(t61122,plain,
meet(a,join(b,meet(a,X1))) = meet(a,join(b,meet(X1,sFlat3))),
inference(orient,[status(thm)],[t60360]) ).
cnf(t24,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(cp,[status(thm)],[t21,t20]) ).
cnf(t229,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(orient,[status(thm)],[t24]) ).
cnf(t237,plain,
X1 = join(X1,meet(X2,meet(X3,X1))),
inference(cp,[status(thm)],[t19,t229]) ).
cnf(t605,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(orient,[status(thm)],[t237]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t25,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(cp,[status(thm)],[t21,t16]) ).
cnf(t127,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t25]) ).
cnf(t607,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t605,t127]) ).
cnf(t671,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t607]) ).
cnf(t26,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(cp,[status(thm)],[t21,t17]) ).
cnf(t503,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t26]) ).
cnf(t506,plain,
meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t503,t20]) ).
cnf(t971,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t506]) ).
cnf(t147,plain,
meet(sFlat3,meet(c,X1)) = meet(sFlat4,X1),
inference(cp,[status(thm)],[t21,t145]) ).
cnf(t316,plain,
meet(sFlat3,meet(c,X1)) = meet(sFlat4,X1),
inference(orient,[status(thm)],[t147]) ).
cnf(t9,axiom,
sFlat0 = meet(a,c),
introduced(definition) ).
cnf(t62212,plain,
sFlat0 = meet(c,a),
inference(step,[status(thm)],[t9,t20]) ).
cnf(t56,plain,
meet(c,a) = sFlat0,
inference(orient,[status(thm)],[t62212]) ).
cnf(t57,plain,
meet(c,meet(a,X1)) = meet(sFlat0,X1),
inference(cp,[status(thm)],[t21,t56]) ).
cnf(t164,plain,
meet(c,meet(a,X1)) = meet(sFlat0,X1),
inference(orient,[status(thm)],[t57]) ).
cnf(t318,plain,
meet(sFlat4,meet(a,X1)) = meet(sFlat3,meet(sFlat0,X1)),
inference(cp,[status(thm)],[t316,t164]) ).
cnf(t27,plain,
meet(X1,meet(X2,X3)) = meet(meet(X2,X1),X3),
inference(cp,[status(thm)],[t21,t20]) ).
cnf(t62244,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(step,[status(thm)],[t27,t21]) ).
cnf(t240,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t62244]) ).
cnf(t62277,plain,
meet(sFlat4,meet(a,X1)) = meet(sFlat0,meet(sFlat3,X1)),
inference(step,[status(thm)],[t318,t240]) ).
cnf(t562,plain,
meet(sFlat4,meet(a,X1)) = meet(sFlat0,meet(sFlat3,X1)),
inference(orient,[status(thm)],[t62277]) ).
cnf(t972,plain,
meet(sFlat4,a) = meet(sFlat0,meet(sFlat3,join(sFlat4,X1))),
inference(cp,[status(thm)],[t971,t562]) ).
cnf(t317,plain,
meet(sFlat4,a) = meet(sFlat3,sFlat0),
inference(cp,[status(thm)],[t316,t56]) ).
cnf(t62247,plain,
meet(sFlat4,a) = meet(sFlat0,sFlat3),
inference(step,[status(thm)],[t317,t20]) ).
cnf(t325,plain,
meet(sFlat4,a) = meet(sFlat0,sFlat3),
inference(orient,[status(thm)],[t62247]) ).
cnf(t167,plain,
meet(sFlat0,join(a,X1)) = meet(c,a),
inference(cp,[status(thm)],[t164,t17]) ).
cnf(t62241,plain,
meet(sFlat0,join(a,X1)) = sFlat0,
inference(step,[status(thm)],[t167,t56]) ).
cnf(t202,plain,
meet(sFlat0,join(a,X1)) = sFlat0,
inference(orient,[status(thm)],[t62241]) ).
cnf(t203,plain,
sFlat0 = meet(sFlat0,join(X1,a)),
inference(cp,[status(thm)],[t202,t67]) ).
cnf(t386,plain,
meet(sFlat0,join(X1,a)) = sFlat0,
inference(orient,[status(thm)],[t203]) ).
cnf(t83,plain,
join(b,join(a,X1)) = join(sFlat3,X1),
inference(cp,[status(thm)],[t69,t81]) ).
cnf(t178,plain,
join(b,join(a,X1)) = join(sFlat3,X1),
inference(orient,[status(thm)],[t83]) ).
cnf(t179,plain,
join(sFlat3,a) = join(b,a),
inference(cp,[status(thm)],[t178,t18]) ).
cnf(t62239,plain,
join(sFlat3,a) = sFlat3,
inference(step,[status(thm)],[t179,t81]) ).
cnf(t185,plain,
join(sFlat3,a) = sFlat3,
inference(orient,[status(thm)],[t62239]) ).
cnf(t387,plain,
sFlat0 = meet(sFlat0,sFlat3),
inference(cp,[status(thm)],[t386,t185]) ).
cnf(t393,plain,
meet(sFlat0,sFlat3) = sFlat0,
inference(orient,[status(thm)],[t387]) ).
cnf(t62264,plain,
meet(sFlat4,a) = sFlat0,
inference(step,[status(thm)],[t325,t393]) ).
cnf(t394,plain,
meet(sFlat4,a) = sFlat0,
inference(orient,[status(thm)],[t62264]) ).
cnf(t62339,plain,
sFlat0 = meet(sFlat0,meet(sFlat3,join(sFlat4,X1))),
inference(step,[status(thm)],[t972,t394]) ).
cnf(t1967,plain,
meet(sFlat0,meet(sFlat3,join(sFlat4,X1))) = sFlat0,
inference(orient,[status(thm)],[t62339]) ).
cnf(t148,plain,
sFlat3 = join(sFlat3,sFlat4),
inference(cp,[status(thm)],[t19,t145]) ).
cnf(t156,plain,
join(sFlat3,sFlat4) = sFlat3,
inference(orient,[status(thm)],[t148]) ).
cnf(t157,plain,
join(sFlat3,join(sFlat4,X1)) = join(sFlat3,X1),
inference(cp,[status(thm)],[t69,t156]) ).
cnf(t520,plain,
join(sFlat3,join(sFlat4,X1)) = join(sFlat3,X1),
inference(orient,[status(thm)],[t157]) ).
cnf(t824,plain,
join(sFlat4,X1) = meet(join(sFlat4,X1),join(sFlat3,X1)),
inference(cp,[status(thm)],[t812,t520]) ).
cnf(t62367,plain,
join(sFlat4,X1) = meet(join(sFlat3,X1),join(sFlat4,X1)),
inference(step,[status(thm)],[t824,t20]) ).
cnf(t2698,plain,
meet(join(sFlat3,X1),join(sFlat4,X1)) = join(sFlat4,X1),
inference(orient,[status(thm)],[t62367]) ).
cnf(t82,plain,
b = meet(b,sFlat3),
inference(cp,[status(thm)],[t17,t81]) ).
cnf(t62228,plain,
b = meet(sFlat3,b),
inference(step,[status(thm)],[t82,t20]) ).
cnf(t100,plain,
meet(sFlat3,b) = b,
inference(orient,[status(thm)],[t62228]) ).
cnf(t102,plain,
sFlat3 = join(sFlat3,b),
inference(cp,[status(thm)],[t19,t100]) ).
cnf(t125,plain,
join(sFlat3,b) = sFlat3,
inference(orient,[status(thm)],[t102]) ).
cnf(t2715,plain,
join(sFlat4,b) = meet(sFlat3,join(sFlat4,b)),
inference(cp,[status(thm)],[t2698,t125]) ).
cnf(t2769,plain,
meet(sFlat3,join(sFlat4,b)) = join(sFlat4,b),
inference(orient,[status(thm)],[t2715]) ).
cnf(t2770,plain,
sFlat0 = meet(sFlat0,join(sFlat4,b)),
inference(cp,[status(thm)],[t1967,t2769]) ).
cnf(t2796,plain,
meet(sFlat0,join(sFlat4,b)) = sFlat0,
inference(orient,[status(thm)],[t2770]) ).
cnf(t2801,plain,
join(sFlat4,b) = join(join(sFlat4,b),sFlat0),
inference(cp,[status(thm)],[t671,t2796]) ).
cnf(t62456,plain,
join(sFlat4,b) = join(sFlat4,join(b,sFlat0)),
inference(step,[status(thm)],[t2801,t69]) ).
cnf(t62457,plain,
join(sFlat4,b) = join(sFlat0,join(sFlat4,b)),
inference(step,[status(thm)],[t62456,t272]) ).
cnf(t10,axiom,
sFlat1 = join(b,meet(a,c)),
introduced(definition) ).
cnf(t62221,plain,
sFlat1 = join(b,meet(c,a)),
inference(step,[status(thm)],[t10,t20]) ).
cnf(t62222,plain,
sFlat1 = join(b,sFlat0),
inference(step,[status(thm)],[t62221,t56]) ).
cnf(t62223,plain,
sFlat1 = join(sFlat0,b),
inference(step,[status(thm)],[t62222,t67]) ).
cnf(t85,plain,
join(sFlat0,b) = sFlat1,
inference(orient,[status(thm)],[t62223]) ).
cnf(t87,plain,
join(sFlat0,join(b,X1)) = join(sFlat1,X1),
inference(cp,[status(thm)],[t69,t85]) ).
cnf(t187,plain,
join(sFlat0,join(b,X1)) = join(sFlat1,X1),
inference(orient,[status(thm)],[t87]) ).
cnf(t193,plain,
join(sFlat1,X1) = join(sFlat0,join(X1,b)),
inference(cp,[status(thm)],[t187,t67]) ).
cnf(t379,plain,
join(sFlat0,join(X1,b)) = join(sFlat1,X1),
inference(orient,[status(thm)],[t193]) ).
cnf(t62458,plain,
join(sFlat4,b) = join(sFlat1,sFlat4),
inference(step,[status(thm)],[t62457,t379]) ).
cnf(t4366,plain,
join(sFlat4,b) = join(sFlat1,sFlat4),
inference(orient,[status(thm)],[t62458]) ).
cnf(t188,plain,
join(sFlat1,a) = join(sFlat0,sFlat3),
inference(cp,[status(thm)],[t187,t81]) ).
cnf(t198,plain,
join(sFlat1,a) = join(sFlat0,sFlat3),
inference(orient,[status(thm)],[t188]) ).
cnf(t181,plain,
join(sFlat3,meet(a,X1)) = join(b,a),
inference(cp,[status(thm)],[t178,t19]) ).
cnf(t62242,plain,
join(sFlat3,meet(a,X1)) = sFlat3,
inference(step,[status(thm)],[t181,t81]) ).
cnf(t211,plain,
join(sFlat3,meet(a,X1)) = sFlat3,
inference(orient,[status(thm)],[t62242]) ).
cnf(t212,plain,
sFlat3 = join(sFlat3,meet(X1,a)),
inference(cp,[status(thm)],[t211,t20]) ).
cnf(t401,plain,
join(sFlat3,meet(X1,a)) = sFlat3,
inference(orient,[status(thm)],[t212]) ).
cnf(t402,plain,
sFlat3 = join(sFlat3,sFlat0),
inference(cp,[status(thm)],[t401,t394]) ).
cnf(t62266,plain,
sFlat3 = join(sFlat0,sFlat3),
inference(step,[status(thm)],[t402,t67]) ).
cnf(t406,plain,
join(sFlat0,sFlat3) = sFlat3,
inference(orient,[status(thm)],[t62266]) ).
cnf(t62267,plain,
join(sFlat1,a) = sFlat3,
inference(step,[status(thm)],[t198,t406]) ).
cnf(t407,plain,
join(sFlat1,a) = sFlat3,
inference(orient,[status(thm)],[t62267]) ).
cnf(t60272,plain,
meet(a,join(sFlat1,meet(a,X1))) = meet(a,join(sFlat1,meet(X1,sFlat3))),
inference(cp,[status(thm)],[t60040,t407]) ).
cnf(t60641,plain,
meet(a,join(sFlat1,meet(a,X1))) = meet(a,join(sFlat1,meet(X1,sFlat3))),
inference(orient,[status(thm)],[t60272]) ).
cnf(t60642,plain,
meet(a,join(sFlat1,meet(X1,sFlat3))) = meet(a,join(sFlat1,meet(X1,a))),
inference(cp,[status(thm)],[t60641,t20]) ).
cnf(t61438,plain,
meet(a,join(sFlat1,meet(X1,a))) = meet(a,join(sFlat1,meet(X1,sFlat3))),
inference(orient,[status(thm)],[t60642]) ).
cnf(t61440,plain,
meet(a,join(sFlat1,meet(sFlat4,sFlat3))) = meet(a,join(sFlat1,sFlat0)),
inference(cp,[status(thm)],[t61438,t394]) ).
cnf(t63660,plain,
meet(a,join(sFlat1,meet(sFlat3,sFlat4))) = meet(a,join(sFlat1,sFlat0)),
inference(step,[status(thm)],[t61440,t20]) ).
cnf(t146,plain,
meet(sFlat3,c) = meet(sFlat3,sFlat4),
inference(cp,[status(thm)],[t127,t145]) ).
cnf(t62236,plain,
sFlat4 = meet(sFlat3,sFlat4),
inference(step,[status(thm)],[t146,t145]) ).
cnf(t151,plain,
meet(sFlat3,sFlat4) = sFlat4,
inference(orient,[status(thm)],[t62236]) ).
cnf(t63661,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,join(sFlat1,sFlat0)),
inference(step,[status(thm)],[t63660,t151]) ).
cnf(t63662,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,join(sFlat0,sFlat1)),
inference(step,[status(thm)],[t63661,t67]) ).
cnf(t160,plain,
join(sFlat0,b) = join(sFlat0,sFlat1),
inference(cp,[status(thm)],[t158,t85]) ).
cnf(t62237,plain,
sFlat1 = join(sFlat0,sFlat1),
inference(step,[status(thm)],[t160,t85]) ).
cnf(t162,plain,
join(sFlat0,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t62237]) ).
cnf(t63663,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,sFlat1),
inference(step,[status(thm)],[t63662,t162]) ).
cnf(t63664,plain,
meet(a,join(sFlat1,sFlat4)) = meet(sFlat1,a),
inference(step,[status(thm)],[t63663,t20]) ).
cnf(t11,axiom,
sFlat2 = meet(a,join(b,meet(a,c))),
introduced(definition) ).
cnf(t62210,plain,
sFlat2 = meet(a,join(b,meet(c,a))),
inference(step,[status(thm)],[t11,t20]) ).
cnf(t50,plain,
meet(a,join(b,meet(c,a))) = sFlat2,
inference(orient,[status(thm)],[t62210]) ).
cnf(t62213,plain,
meet(a,join(b,sFlat0)) = sFlat2,
inference(step,[status(thm)],[t50,t56]) ).
cnf(t61,plain,
meet(a,join(b,sFlat0)) = sFlat2,
inference(rw,[status(thm)],[t62213]) ).
cnf(t62229,plain,
meet(a,join(sFlat0,b)) = sFlat2,
inference(step,[status(thm)],[t61,t67]) ).
cnf(t62230,plain,
meet(a,sFlat1) = sFlat2,
inference(step,[status(thm)],[t62229,t85]) ).
cnf(t62231,plain,
meet(sFlat1,a) = sFlat2,
inference(step,[status(thm)],[t62230,t20]) ).
cnf(t132,plain,
meet(sFlat1,a) = sFlat2,
inference(orient,[status(thm)],[t62231]) ).
cnf(t63665,plain,
meet(a,join(sFlat1,sFlat4)) = sFlat2,
inference(step,[status(thm)],[t63664,t132]) ).
cnf(t62062,plain,
meet(a,join(sFlat1,sFlat4)) = sFlat2,
inference(orient,[status(thm)],[t63665]) ).
cnf(t14,axiom,
sFlat5 = join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))),
introduced(definition) ).
cnf(t62214,plain,
sFlat5 = join(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))),
inference(step,[status(thm)],[t14,t67]) ).
cnf(t62215,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(b,meet(a,c)))),
inference(step,[status(thm)],[t62214,t67]) ).
cnf(t62216,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(b,meet(c,a)))),
inference(step,[status(thm)],[t62215,t20]) ).
cnf(t62217,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(b,sFlat0))),
inference(step,[status(thm)],[t62216,t56]) ).
cnf(t62218,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(sFlat0,b))),
inference(step,[status(thm)],[t62217,t67]) ).
cnf(t78,plain,
join(meet(c,join(b,a)),meet(a,join(sFlat0,b))) = sFlat5,
inference(orient,[status(thm)],[t62218]) ).
cnf(t62220,plain,
join(meet(c,sFlat3),meet(a,join(sFlat0,b))) = sFlat5,
inference(step,[status(thm)],[t78,t81]) ).
cnf(t84,plain,
join(meet(c,sFlat3),meet(a,join(sFlat0,b))) = sFlat5,
inference(rw,[status(thm)],[t62220]) ).
cnf(t62439,plain,
join(meet(sFlat3,c),meet(a,join(sFlat0,b))) = sFlat5,
inference(step,[status(thm)],[t84,t20]) ).
cnf(t62440,plain,
join(sFlat4,meet(a,join(sFlat0,b))) = sFlat5,
inference(step,[status(thm)],[t62439,t145]) ).
cnf(t62441,plain,
join(sFlat4,meet(a,sFlat1)) = sFlat5,
inference(step,[status(thm)],[t62440,t85]) ).
cnf(t62442,plain,
join(sFlat4,meet(sFlat1,a)) = sFlat5,
inference(step,[status(thm)],[t62441,t20]) ).
cnf(t62443,plain,
join(sFlat4,sFlat2) = sFlat5,
inference(step,[status(thm)],[t62442,t132]) ).
cnf(t62444,plain,
join(sFlat2,sFlat4) = sFlat5,
inference(step,[status(thm)],[t62443,t67]) ).
cnf(t4273,plain,
join(sFlat2,sFlat4) = sFlat5,
inference(orient,[status(thm)],[t62444]) ).
cnf(t15,axiom,
sFlat6 = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
introduced(definition) ).
cnf(t62209,plain,
sFlat6 = meet(a,join(meet(a,join(b,meet(c,a))),meet(c,join(a,b)))),
inference(step,[status(thm)],[t15,t20]) ).
cnf(t45,plain,
meet(a,join(meet(a,join(b,meet(c,a))),meet(c,join(a,b)))) = sFlat6,
inference(orient,[status(thm)],[t62209]) ).
cnf(t62211,plain,
meet(a,join(sFlat2,meet(c,join(a,b)))) = sFlat6,
inference(step,[status(thm)],[t45,t50]) ).
cnf(t55,plain,
meet(a,join(sFlat2,meet(c,join(a,b)))) = sFlat6,
inference(rw,[status(thm)],[t62211]) ).
cnf(t62399,plain,
meet(a,join(sFlat2,meet(c,join(b,a)))) = sFlat6,
inference(step,[status(thm)],[t55,t67]) ).
cnf(t62400,plain,
meet(a,join(sFlat2,meet(c,sFlat3))) = sFlat6,
inference(step,[status(thm)],[t62399,t81]) ).
cnf(t62401,plain,
meet(a,join(sFlat2,meet(sFlat3,c))) = sFlat6,
inference(step,[status(thm)],[t62400,t20]) ).
cnf(t62402,plain,
meet(a,join(sFlat2,sFlat4)) = sFlat6,
inference(step,[status(thm)],[t62401,t145]) ).
cnf(t3942,plain,
meet(a,join(sFlat2,sFlat4)) = sFlat6,
inference(orient,[status(thm)],[t62402]) ).
cnf(t62448,plain,
meet(a,sFlat5) = sFlat6,
inference(step,[status(thm)],[t3942,t4273]) ).
cnf(t4288,plain,
meet(a,sFlat5) = sFlat6,
inference(rw,[status(thm)],[t62448]) ).
cnf(t62451,plain,
meet(sFlat5,a) = sFlat6,
inference(step,[status(thm)],[t4288,t20]) ).
cnf(t4316,plain,
meet(sFlat5,a) = sFlat6,
inference(orient,[status(thm)],[t62451]) ).
cnf(t46,plain,
meet(a,meet(join(meet(a,join(b,meet(c,a))),meet(c,join(a,b))),X1)) = meet(sFlat6,X1),
inference(cp,[status(thm)],[t21,t45]) ).
cnf(t62597,plain,
meet(a,meet(join(meet(c,join(a,b)),meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t46,t67]) ).
cnf(t62598,plain,
meet(a,meet(join(meet(c,join(b,a)),meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62597,t67]) ).
cnf(t62599,plain,
meet(a,meet(join(meet(c,sFlat3),meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62598,t81]) ).
cnf(t62600,plain,
meet(a,meet(join(meet(sFlat3,c),meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62599,t20]) ).
cnf(t62601,plain,
meet(a,meet(join(sFlat4,meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62600,t145]) ).
cnf(t62602,plain,
meet(a,meet(join(sFlat4,meet(a,join(b,sFlat0))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62601,t56]) ).
cnf(t62603,plain,
meet(a,meet(join(sFlat4,meet(a,join(sFlat0,b))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62602,t67]) ).
cnf(t62604,plain,
meet(a,meet(join(sFlat4,meet(a,sFlat1)),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62603,t85]) ).
cnf(t62605,plain,
meet(a,meet(join(sFlat4,meet(sFlat1,a)),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62604,t20]) ).
cnf(t62606,plain,
meet(a,meet(join(sFlat4,sFlat2),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62605,t132]) ).
cnf(t62607,plain,
meet(a,meet(join(sFlat2,sFlat4),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62606,t67]) ).
cnf(t62608,plain,
meet(a,meet(sFlat5,X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62607,t4273]) ).
cnf(t62609,plain,
meet(sFlat5,meet(a,X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t62608,t240]) ).
cnf(t15397,plain,
meet(sFlat5,meet(a,X1)) = meet(sFlat6,X1),
inference(orient,[status(thm)],[t62609]) ).
cnf(t62065,plain,
meet(sFlat6,join(sFlat1,sFlat4)) = meet(sFlat5,sFlat2),
inference(cp,[status(thm)],[t15397,t62062]) ).
cnf(t135,plain,
sFlat1 = join(sFlat1,sFlat2),
inference(cp,[status(thm)],[t19,t132]) ).
cnf(t143,plain,
join(sFlat1,sFlat2) = sFlat1,
inference(orient,[status(thm)],[t135]) ).
cnf(t144,plain,
join(sFlat1,join(sFlat2,X1)) = join(sFlat1,X1),
inference(cp,[status(thm)],[t69,t143]) ).
cnf(t516,plain,
join(sFlat1,join(sFlat2,X1)) = join(sFlat1,X1),
inference(orient,[status(thm)],[t144]) ).
cnf(t3945,plain,
join(sFlat2,sFlat4) = join(join(sFlat2,sFlat4),sFlat6),
inference(cp,[status(thm)],[t671,t3942]) ).
cnf(t62434,plain,
join(sFlat2,sFlat4) = join(sFlat2,join(sFlat4,sFlat6)),
inference(step,[status(thm)],[t3945,t69]) ).
cnf(t4235,plain,
join(sFlat2,join(sFlat4,sFlat6)) = join(sFlat2,sFlat4),
inference(orient,[status(thm)],[t62434]) ).
cnf(t4238,plain,
join(sFlat1,join(sFlat4,sFlat6)) = join(sFlat1,join(sFlat2,sFlat4)),
inference(cp,[status(thm)],[t516,t4235]) ).
cnf(t62435,plain,
join(sFlat1,join(sFlat4,sFlat6)) = join(sFlat1,sFlat4),
inference(step,[status(thm)],[t4238,t516]) ).
cnf(t4242,plain,
join(sFlat1,join(sFlat4,sFlat6)) = join(sFlat1,sFlat4),
inference(orient,[status(thm)],[t62435]) ).
cnf(t4246,plain,
sFlat6 = meet(sFlat6,join(sFlat1,sFlat4)),
inference(cp,[status(thm)],[t733,t4242]) ).
cnf(t4249,plain,
meet(sFlat6,join(sFlat1,sFlat4)) = sFlat6,
inference(orient,[status(thm)],[t4246]) ).
cnf(t63668,plain,
sFlat6 = meet(sFlat5,sFlat2),
inference(step,[status(thm)],[t62065,t4249]) ).
cnf(t63669,plain,
sFlat6 = meet(sFlat2,sFlat5),
inference(step,[status(thm)],[t63668,t20]) ).
cnf(t4276,plain,
sFlat2 = meet(sFlat2,sFlat5),
inference(cp,[status(thm)],[t17,t4273]) ).
cnf(t4289,plain,
meet(sFlat2,sFlat5) = sFlat2,
inference(orient,[status(thm)],[t4276]) ).
cnf(t63670,plain,
sFlat6 = sFlat2,
inference(step,[status(thm)],[t63669,t4289]) ).
cnf(t62099,plain,
sFlat6 = sFlat2,
inference(orient,[status(thm)],[t63670]) ).
cnf(t63671,plain,
meet(sFlat5,a) = sFlat2,
inference(step,[status(thm)],[t4316,t62099]) ).
cnf(t62100,plain,
meet(sFlat5,a) = sFlat2,
inference(orient,[status(thm)],[t63671]) ).
cnf(goal_0,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[goal_0,t67]) ).
cnf(g0_1,plain,
meet(a,join(meet(c,join(b,a)),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_0,t67]) ).
cnf(g0_2,plain,
meet(a,join(meet(c,sFlat3),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_1,t81]) ).
cnf(g0_3,plain,
meet(a,join(meet(sFlat3,c),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_2,t20]) ).
cnf(g0_4,plain,
meet(a,join(sFlat4,meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_3,t145]) ).
cnf(g0_5,plain,
meet(a,join(sFlat4,meet(a,join(b,meet(c,sFlat3))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_4,t61122]) ).
cnf(g0_6,plain,
meet(a,join(sFlat4,meet(a,join(b,meet(sFlat3,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_5,t20]) ).
cnf(g0_7,plain,
meet(a,join(sFlat4,meet(a,join(b,sFlat4)))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_6,t145]) ).
cnf(g0_8,plain,
meet(a,join(sFlat4,meet(a,join(sFlat4,b)))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_7,t67]) ).
cnf(g0_9,plain,
meet(a,join(sFlat4,meet(a,join(sFlat1,sFlat4)))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_8,t4366]) ).
cnf(g0_10,plain,
meet(a,join(sFlat4,sFlat2)) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_9,t62062]) ).
cnf(g0_11,plain,
meet(a,join(sFlat2,sFlat4)) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_10,t67]) ).
cnf(g0_12,plain,
meet(a,sFlat5) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_11,t4273]) ).
cnf(g0_13,plain,
meet(sFlat5,a) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_12,t20]) ).
cnf(g0_14,plain,
sFlat2 != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_13,t62100]) ).
cnf(g0_15,plain,
sFlat2 != meet(a,join(b,meet(c,sFlat3))),
inference(rw,[status(thm)],[g0_14,t61122]) ).
cnf(g0_16,plain,
sFlat2 != meet(a,join(b,meet(sFlat3,c))),
inference(rw,[status(thm)],[g0_15,t20]) ).
cnf(g0_17,plain,
sFlat2 != meet(a,join(b,sFlat4)),
inference(rw,[status(thm)],[g0_16,t145]) ).
cnf(g0_18,plain,
sFlat2 != meet(a,join(sFlat4,b)),
inference(rw,[status(thm)],[g0_17,t67]) ).
cnf(g0_19,plain,
sFlat2 != meet(a,join(sFlat1,sFlat4)),
inference(rw,[status(thm)],[g0_18,t4366]) ).
cnf(g0_20,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_19,t62062]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT145-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 20:28:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 120.41/17.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.41/17.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------