%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT152-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 01:55:36 PM UTC 2026
% Result : Unsatisfiable 36.52s 10.09s
% Output : CNFRefutation 36.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 17
% Syntax : Number of clauses : 244 ( 244 unt; 0 nHn; 140 RR)
% Number of literals : 244 ( 243 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 : 182 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t58,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t12,axiom,
sFlat3 = join(a,b),
introduced(definition) ).
cnf(t13384,plain,
sFlat3 = join(b,a),
inference(step,[status(thm)],[t12,t58]) ).
cnf(t76,plain,
join(b,a) = sFlat3,
inference(orient,[status(thm)],[t13384]) ).
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(t54,plain,
meet(c,join(a,b)) = sFlat4,
inference(orient,[status(thm)],[t13]) ).
cnf(t59,plain,
meet(c,join(a,b)) = sFlat4,
inference(rw,[status(thm)],[t54]) ).
cnf(t13398,plain,
meet(c,join(b,a)) = sFlat4,
inference(step,[status(thm)],[t59,t58]) ).
cnf(t13399,plain,
meet(c,sFlat3) = sFlat4,
inference(step,[status(thm)],[t13398,t76]) ).
cnf(t13400,plain,
meet(sFlat3,c) = sFlat4,
inference(step,[status(thm)],[t13399,t20]) ).
cnf(t130,plain,
meet(sFlat3,c) = sFlat4,
inference(orient,[status(thm)],[t13400]) ).
cnf(t9,axiom,
sFlat0 = meet(a,c),
introduced(definition) ).
cnf(t13377,plain,
sFlat0 = meet(c,a),
inference(step,[status(thm)],[t9,t20]) ).
cnf(t50,plain,
meet(c,a) = sFlat0,
inference(orient,[status(thm)],[t13377]) ).
cnf(t10,axiom,
sFlat1 = join(b,meet(a,c)),
introduced(definition) ).
cnf(t13386,plain,
sFlat1 = join(b,meet(c,a)),
inference(step,[status(thm)],[t10,t20]) ).
cnf(t13387,plain,
sFlat1 = join(b,sFlat0),
inference(step,[status(thm)],[t13386,t50]) ).
cnf(t13388,plain,
sFlat1 = join(sFlat0,b),
inference(step,[status(thm)],[t13387,t58]) ).
cnf(t81,plain,
join(sFlat0,b) = sFlat1,
inference(orient,[status(thm)],[t13388]) ).
cnf(t11,axiom,
sFlat2 = meet(a,join(b,meet(a,c))),
introduced(definition) ).
cnf(t13375,plain,
sFlat2 = meet(a,join(b,meet(c,a))),
inference(step,[status(thm)],[t11,t20]) ).
cnf(t45,plain,
meet(a,join(b,meet(c,a))) = sFlat2,
inference(orient,[status(thm)],[t13375]) ).
cnf(t13378,plain,
meet(a,join(b,sFlat0)) = sFlat2,
inference(step,[status(thm)],[t45,t50]) ).
cnf(t53,plain,
meet(a,join(b,sFlat0)) = sFlat2,
inference(rw,[status(thm)],[t13378]) ).
cnf(t13394,plain,
meet(a,join(sFlat0,b)) = sFlat2,
inference(step,[status(thm)],[t53,t58]) ).
cnf(t13395,plain,
meet(a,sFlat1) = sFlat2,
inference(step,[status(thm)],[t13394,t81]) ).
cnf(t13396,plain,
meet(sFlat1,a) = sFlat2,
inference(step,[status(thm)],[t13395,t20]) ).
cnf(t120,plain,
meet(sFlat1,a) = sFlat2,
inference(orient,[status(thm)],[t13396]) ).
cnf(t14,axiom,
sFlat5 = join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))),
introduced(definition) ).
cnf(t13379,plain,
sFlat5 = join(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))),
inference(step,[status(thm)],[t14,t58]) ).
cnf(t13380,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(b,meet(a,c)))),
inference(step,[status(thm)],[t13379,t58]) ).
cnf(t13381,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(b,meet(c,a)))),
inference(step,[status(thm)],[t13380,t20]) ).
cnf(t13382,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(b,sFlat0))),
inference(step,[status(thm)],[t13381,t50]) ).
cnf(t13383,plain,
sFlat5 = join(meet(c,join(b,a)),meet(a,join(sFlat0,b))),
inference(step,[status(thm)],[t13382,t58]) ).
cnf(t71,plain,
join(meet(c,join(b,a)),meet(a,join(sFlat0,b))) = sFlat5,
inference(orient,[status(thm)],[t13383]) ).
cnf(t13385,plain,
join(meet(c,sFlat3),meet(a,join(sFlat0,b))) = sFlat5,
inference(step,[status(thm)],[t71,t76]) ).
cnf(t80,plain,
join(meet(c,sFlat3),meet(a,join(sFlat0,b))) = sFlat5,
inference(rw,[status(thm)],[t13385]) ).
cnf(t13602,plain,
join(meet(sFlat3,c),meet(a,join(sFlat0,b))) = sFlat5,
inference(step,[status(thm)],[t80,t20]) ).
cnf(t13603,plain,
join(sFlat4,meet(a,join(sFlat0,b))) = sFlat5,
inference(step,[status(thm)],[t13602,t130]) ).
cnf(t13604,plain,
join(sFlat4,meet(a,sFlat1)) = sFlat5,
inference(step,[status(thm)],[t13603,t81]) ).
cnf(t13605,plain,
join(sFlat4,meet(sFlat1,a)) = sFlat5,
inference(step,[status(thm)],[t13604,t20]) ).
cnf(t13606,plain,
join(sFlat4,sFlat2) = sFlat5,
inference(step,[status(thm)],[t13605,t120]) ).
cnf(t13607,plain,
join(sFlat2,sFlat4) = sFlat5,
inference(step,[status(thm)],[t13606,t58]) ).
cnf(t3630,plain,
join(sFlat2,sFlat4) = sFlat5,
inference(orient,[status(thm)],[t13607]) ).
cnf(t15,axiom,
sFlat6 = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
introduced(definition) ).
cnf(t13374,plain,
sFlat6 = meet(a,join(meet(a,join(b,meet(c,a))),meet(c,join(a,b)))),
inference(step,[status(thm)],[t15,t20]) ).
cnf(t41,plain,
meet(a,join(meet(a,join(b,meet(c,a))),meet(c,join(a,b)))) = sFlat6,
inference(orient,[status(thm)],[t13374]) ).
cnf(t13376,plain,
meet(a,join(sFlat2,meet(c,join(a,b)))) = sFlat6,
inference(step,[status(thm)],[t41,t45]) ).
cnf(t49,plain,
meet(a,join(sFlat2,meet(c,join(a,b)))) = sFlat6,
inference(rw,[status(thm)],[t13376]) ).
cnf(t13564,plain,
meet(a,join(sFlat2,meet(c,join(b,a)))) = sFlat6,
inference(step,[status(thm)],[t49,t58]) ).
cnf(t13565,plain,
meet(a,join(sFlat2,meet(c,sFlat3))) = sFlat6,
inference(step,[status(thm)],[t13564,t76]) ).
cnf(t13566,plain,
meet(a,join(sFlat2,meet(sFlat3,c))) = sFlat6,
inference(step,[status(thm)],[t13565,t20]) ).
cnf(t13567,plain,
meet(a,join(sFlat2,sFlat4)) = sFlat6,
inference(step,[status(thm)],[t13566,t130]) ).
cnf(t3368,plain,
meet(a,join(sFlat2,sFlat4)) = sFlat6,
inference(orient,[status(thm)],[t13567]) ).
cnf(t13611,plain,
meet(a,sFlat5) = sFlat6,
inference(step,[status(thm)],[t3368,t3630]) ).
cnf(t3649,plain,
meet(a,sFlat5) = sFlat6,
inference(rw,[status(thm)],[t13611]) ).
cnf(t13614,plain,
meet(sFlat5,a) = sFlat6,
inference(step,[status(thm)],[t3649,t20]) ).
cnf(t3669,plain,
meet(sFlat5,a) = sFlat6,
inference(orient,[status(thm)],[t13614]) ).
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(t42,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,t41]) ).
cnf(t13724,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)],[t42,t58]) ).
cnf(t13725,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)],[t13724,t58]) ).
cnf(t13726,plain,
meet(a,meet(join(meet(c,sFlat3),meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13725,t76]) ).
cnf(t13727,plain,
meet(a,meet(join(meet(sFlat3,c),meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13726,t20]) ).
cnf(t13728,plain,
meet(a,meet(join(sFlat4,meet(a,join(b,meet(c,a)))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13727,t130]) ).
cnf(t13729,plain,
meet(a,meet(join(sFlat4,meet(a,join(b,sFlat0))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13728,t50]) ).
cnf(t13730,plain,
meet(a,meet(join(sFlat4,meet(a,join(sFlat0,b))),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13729,t58]) ).
cnf(t13731,plain,
meet(a,meet(join(sFlat4,meet(a,sFlat1)),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13730,t81]) ).
cnf(t13732,plain,
meet(a,meet(join(sFlat4,meet(sFlat1,a)),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13731,t20]) ).
cnf(t13733,plain,
meet(a,meet(join(sFlat4,sFlat2),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13732,t120]) ).
cnf(t13734,plain,
meet(a,meet(join(sFlat2,sFlat4),X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13733,t58]) ).
cnf(t13735,plain,
meet(a,meet(sFlat5,X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13734,t3630]) ).
cnf(t27,plain,
meet(X1,meet(X2,X3)) = meet(meet(X2,X1),X3),
inference(cp,[status(thm)],[t21,t20]) ).
cnf(t13409,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(step,[status(thm)],[t27,t21]) ).
cnf(t224,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t13409]) ).
cnf(t13736,plain,
meet(sFlat5,meet(a,X1)) = meet(sFlat6,X1),
inference(step,[status(thm)],[t13735,t224]) ).
cnf(t9801,plain,
meet(sFlat5,meet(a,X1)) = meet(sFlat6,X1),
inference(orient,[status(thm)],[t13736]) ).
cnf(t8,axiom,
meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t29,plain,
meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))),
inference(orient,[status(thm)],[t8]) ).
cnf(t57,plain,
meet(a,join(b,meet(c,join(a,X1)))) = meet(a,join(b,meet(c,join(X1,sFlat4)))),
inference(cp,[status(thm)],[t29,t54]) ).
cnf(t13258,plain,
meet(a,join(b,meet(c,join(a,X1)))) = meet(a,join(b,meet(c,join(X1,sFlat4)))),
inference(orient,[status(thm)],[t57]) ).
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(t34,plain,
meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X1,X2)))))) = meet(X1,join(X2,meet(X3,meet(X3,join(X1,X2))))),
inference(cp,[status(thm)],[t29,t18]) ).
cnf(t13552,plain,
meet(X1,join(X2,meet(X3,join(X1,X1)))) = meet(X1,join(X2,meet(X3,meet(X3,join(X1,X2))))),
inference(step,[status(thm)],[t34,t29]) ).
cnf(t13553,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,meet(X3,join(X1,X2))))),
inference(step,[status(thm)],[t13552,t18]) ).
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(t117,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t25]) ).
cnf(t13554,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))),
inference(step,[status(thm)],[t13553,t117]) ).
cnf(t2841,plain,
meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))),
inference(orient,[status(thm)],[t13554]) ).
cnf(t13259,plain,
meet(a,join(b,meet(c,join(b,sFlat4)))) = meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[t13258,t2841]) ).
cnf(t6,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t60,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
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(t62,plain,
join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2),
inference(cp,[status(thm)],[t60,t19]) ).
cnf(t2606,plain,
join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2),
inference(orient,[status(thm)],[t62]) ).
cnf(t2610,plain,
join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))),
inference(cp,[status(thm)],[t2606,t20]) ).
cnf(t6454,plain,
join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2),
inference(orient,[status(thm)],[t2610]) ).
cnf(t24,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(cp,[status(thm)],[t21,t20]) ).
cnf(t216,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(orient,[status(thm)],[t24]) ).
cnf(t223,plain,
X1 = join(X1,meet(X2,meet(X3,X1))),
inference(cp,[status(thm)],[t19,t216]) ).
cnf(t563,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(orient,[status(thm)],[t223]) ).
cnf(t565,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t563,t117]) ).
cnf(t630,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t565]) ).
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(t56,plain,
c = join(c,sFlat4),
inference(cp,[status(thm)],[t19,t54]) ).
cnf(t13392,plain,
c = join(sFlat4,c),
inference(step,[status(thm)],[t56,t58]) ).
cnf(t97,plain,
join(sFlat4,c) = c,
inference(orient,[status(thm)],[t13392]) ).
cnf(t98,plain,
sFlat4 = meet(sFlat4,c),
inference(cp,[status(thm)],[t17,t97]) ).
cnf(t112,plain,
meet(sFlat4,c) = sFlat4,
inference(orient,[status(thm)],[t98]) ).
cnf(t113,plain,
meet(sFlat4,meet(c,X1)) = meet(sFlat4,X1),
inference(cp,[status(thm)],[t21,t112]) ).
cnf(t457,plain,
meet(sFlat4,meet(c,X1)) = meet(sFlat4,X1),
inference(orient,[status(thm)],[t113]) ).
cnf(t636,plain,
meet(c,X1) = join(meet(c,X1),meet(sFlat4,X1)),
inference(cp,[status(thm)],[t630,t457]) ).
cnf(t13517,plain,
meet(c,X1) = join(meet(sFlat4,X1),meet(c,X1)),
inference(step,[status(thm)],[t636,t58]) ).
cnf(t1987,plain,
join(meet(sFlat4,X1),meet(c,X1)) = meet(c,X1),
inference(orient,[status(thm)],[t13517]) ).
cnf(t63,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t60,t58]) ).
cnf(t253,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t63]) ).
cnf(t259,plain,
X1 = meet(X1,join(X2,join(X3,X1))),
inference(cp,[status(thm)],[t17,t253]) ).
cnf(t704,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(orient,[status(thm)],[t259]) ).
cnf(t64,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t60,t18]) ).
cnf(t140,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t64]) ).
cnf(t706,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t704,t140]) ).
cnf(t781,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t706]) ).
cnf(t1995,plain,
meet(c,join(X1,sFlat4)) = join(sFlat4,meet(c,join(X1,sFlat4))),
inference(cp,[status(thm)],[t1987,t781]) ).
cnf(t11006,plain,
join(sFlat4,meet(c,join(X1,sFlat4))) = meet(c,join(X1,sFlat4)),
inference(orient,[status(thm)],[t1995]) ).
cnf(t11012,plain,
join(X1,sFlat4) = join(X1,meet(c,join(X1,sFlat4))),
inference(cp,[status(thm)],[t6454,t11006]) ).
cnf(t11023,plain,
join(X1,meet(c,join(X1,sFlat4))) = join(X1,sFlat4),
inference(orient,[status(thm)],[t11012]) ).
cnf(t13846,plain,
meet(a,join(b,sFlat4)) = meet(a,join(b,meet(c,a))),
inference(step,[status(thm)],[t13259,t11023]) ).
cnf(t13847,plain,
meet(a,join(sFlat4,b)) = meet(a,join(b,meet(c,a))),
inference(step,[status(thm)],[t13846,t58]) ).
cnf(t26,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(cp,[status(thm)],[t21,t17]) ).
cnf(t466,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t26]) ).
cnf(t469,plain,
meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t466,t20]) ).
cnf(t914,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t469]) ).
cnf(t132,plain,
meet(sFlat3,meet(c,X1)) = meet(sFlat4,X1),
inference(cp,[status(thm)],[t21,t130]) ).
cnf(t296,plain,
meet(sFlat3,meet(c,X1)) = meet(sFlat4,X1),
inference(orient,[status(thm)],[t132]) ).
cnf(t51,plain,
meet(c,meet(a,X1)) = meet(sFlat0,X1),
inference(cp,[status(thm)],[t21,t50]) ).
cnf(t147,plain,
meet(c,meet(a,X1)) = meet(sFlat0,X1),
inference(orient,[status(thm)],[t51]) ).
cnf(t298,plain,
meet(sFlat4,meet(a,X1)) = meet(sFlat3,meet(sFlat0,X1)),
inference(cp,[status(thm)],[t296,t147]) ).
cnf(t13442,plain,
meet(sFlat4,meet(a,X1)) = meet(sFlat0,meet(sFlat3,X1)),
inference(step,[status(thm)],[t298,t224]) ).
cnf(t520,plain,
meet(sFlat4,meet(a,X1)) = meet(sFlat0,meet(sFlat3,X1)),
inference(orient,[status(thm)],[t13442]) ).
cnf(t915,plain,
meet(sFlat4,a) = meet(sFlat0,meet(sFlat3,join(sFlat4,X1))),
inference(cp,[status(thm)],[t914,t520]) ).
cnf(t297,plain,
meet(sFlat4,a) = meet(sFlat3,sFlat0),
inference(cp,[status(thm)],[t296,t50]) ).
cnf(t13412,plain,
meet(sFlat4,a) = meet(sFlat0,sFlat3),
inference(step,[status(thm)],[t297,t20]) ).
cnf(t303,plain,
meet(sFlat4,a) = meet(sFlat0,sFlat3),
inference(orient,[status(thm)],[t13412]) ).
cnf(t150,plain,
meet(sFlat0,join(a,X1)) = meet(c,a),
inference(cp,[status(thm)],[t147,t17]) ).
cnf(t13406,plain,
meet(sFlat0,join(a,X1)) = sFlat0,
inference(step,[status(thm)],[t150,t50]) ).
cnf(t186,plain,
meet(sFlat0,join(a,X1)) = sFlat0,
inference(orient,[status(thm)],[t13406]) ).
cnf(t187,plain,
sFlat0 = meet(sFlat0,join(X1,a)),
inference(cp,[status(thm)],[t186,t58]) ).
cnf(t360,plain,
meet(sFlat0,join(X1,a)) = sFlat0,
inference(orient,[status(thm)],[t187]) ).
cnf(t78,plain,
join(b,join(a,X1)) = join(sFlat3,X1),
inference(cp,[status(thm)],[t60,t76]) ).
cnf(t157,plain,
join(b,join(a,X1)) = join(sFlat3,X1),
inference(orient,[status(thm)],[t78]) ).
cnf(t158,plain,
join(sFlat3,a) = join(b,a),
inference(cp,[status(thm)],[t157,t18]) ).
cnf(t13404,plain,
join(sFlat3,a) = sFlat3,
inference(step,[status(thm)],[t158,t76]) ).
cnf(t165,plain,
join(sFlat3,a) = sFlat3,
inference(orient,[status(thm)],[t13404]) ).
cnf(t361,plain,
sFlat0 = meet(sFlat0,sFlat3),
inference(cp,[status(thm)],[t360,t165]) ).
cnf(t366,plain,
meet(sFlat0,sFlat3) = sFlat0,
inference(orient,[status(thm)],[t361]) ).
cnf(t13429,plain,
meet(sFlat4,a) = sFlat0,
inference(step,[status(thm)],[t303,t366]) ).
cnf(t367,plain,
meet(sFlat4,a) = sFlat0,
inference(orient,[status(thm)],[t13429]) ).
cnf(t13502,plain,
sFlat0 = meet(sFlat0,meet(sFlat3,join(sFlat4,X1))),
inference(step,[status(thm)],[t915,t367]) ).
cnf(t1711,plain,
meet(sFlat0,meet(sFlat3,join(sFlat4,X1))) = sFlat0,
inference(orient,[status(thm)],[t13502]) ).
cnf(t133,plain,
sFlat3 = join(sFlat3,sFlat4),
inference(cp,[status(thm)],[t19,t130]) ).
cnf(t137,plain,
join(sFlat3,sFlat4) = sFlat3,
inference(orient,[status(thm)],[t133]) ).
cnf(t138,plain,
join(sFlat3,join(sFlat4,X1)) = join(sFlat3,X1),
inference(cp,[status(thm)],[t60,t137]) ).
cnf(t480,plain,
join(sFlat3,join(sFlat4,X1)) = join(sFlat3,X1),
inference(orient,[status(thm)],[t138]) ).
cnf(t793,plain,
join(sFlat4,X1) = meet(join(sFlat4,X1),join(sFlat3,X1)),
inference(cp,[status(thm)],[t781,t480]) ).
cnf(t13531,plain,
join(sFlat4,X1) = meet(join(sFlat3,X1),join(sFlat4,X1)),
inference(step,[status(thm)],[t793,t20]) ).
cnf(t2339,plain,
meet(join(sFlat3,X1),join(sFlat4,X1)) = join(sFlat4,X1),
inference(orient,[status(thm)],[t13531]) ).
cnf(t77,plain,
b = meet(b,sFlat3),
inference(cp,[status(thm)],[t17,t76]) ).
cnf(t13393,plain,
b = meet(sFlat3,b),
inference(step,[status(thm)],[t77,t20]) ).
cnf(t101,plain,
meet(sFlat3,b) = b,
inference(orient,[status(thm)],[t13393]) ).
cnf(t103,plain,
sFlat3 = join(sFlat3,b),
inference(cp,[status(thm)],[t19,t101]) ).
cnf(t114,plain,
join(sFlat3,b) = sFlat3,
inference(orient,[status(thm)],[t103]) ).
cnf(t2356,plain,
join(sFlat4,b) = meet(sFlat3,join(sFlat4,b)),
inference(cp,[status(thm)],[t2339,t114]) ).
cnf(t2398,plain,
meet(sFlat3,join(sFlat4,b)) = join(sFlat4,b),
inference(orient,[status(thm)],[t2356]) ).
cnf(t2399,plain,
sFlat0 = meet(sFlat0,join(sFlat4,b)),
inference(cp,[status(thm)],[t1711,t2398]) ).
cnf(t2417,plain,
meet(sFlat0,join(sFlat4,b)) = sFlat0,
inference(orient,[status(thm)],[t2399]) ).
cnf(t2422,plain,
join(sFlat4,b) = join(join(sFlat4,b),sFlat0),
inference(cp,[status(thm)],[t630,t2417]) ).
cnf(t13622,plain,
join(sFlat4,b) = join(sFlat4,join(b,sFlat0)),
inference(step,[status(thm)],[t2422,t60]) ).
cnf(t13623,plain,
join(sFlat4,b) = join(sFlat0,join(sFlat4,b)),
inference(step,[status(thm)],[t13622,t253]) ).
cnf(t83,plain,
join(sFlat0,join(b,X1)) = join(sFlat1,X1),
inference(cp,[status(thm)],[t60,t81]) ).
cnf(t168,plain,
join(sFlat0,join(b,X1)) = join(sFlat1,X1),
inference(orient,[status(thm)],[t83]) ).
cnf(t174,plain,
join(sFlat1,X1) = join(sFlat0,join(X1,b)),
inference(cp,[status(thm)],[t168,t58]) ).
cnf(t351,plain,
join(sFlat0,join(X1,b)) = join(sFlat1,X1),
inference(orient,[status(thm)],[t174]) ).
cnf(t13624,plain,
join(sFlat4,b) = join(sFlat1,sFlat4),
inference(step,[status(thm)],[t13623,t351]) ).
cnf(t3774,plain,
join(sFlat4,b) = join(sFlat1,sFlat4),
inference(orient,[status(thm)],[t13624]) ).
cnf(t13848,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,join(b,meet(c,a))),
inference(step,[status(thm)],[t13847,t3774]) ).
cnf(t13849,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,join(b,sFlat0)),
inference(step,[status(thm)],[t13848,t50]) ).
cnf(t13850,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,join(sFlat0,b)),
inference(step,[status(thm)],[t13849,t58]) ).
cnf(t13851,plain,
meet(a,join(sFlat1,sFlat4)) = meet(a,sFlat1),
inference(step,[status(thm)],[t13850,t81]) ).
cnf(t13852,plain,
meet(a,join(sFlat1,sFlat4)) = meet(sFlat1,a),
inference(step,[status(thm)],[t13851,t20]) ).
cnf(t13853,plain,
meet(a,join(sFlat1,sFlat4)) = sFlat2,
inference(step,[status(thm)],[t13852,t120]) ).
cnf(t13315,plain,
meet(a,join(sFlat1,sFlat4)) = sFlat2,
inference(orient,[status(thm)],[t13853]) ).
cnf(t13316,plain,
meet(sFlat6,join(sFlat1,sFlat4)) = meet(sFlat5,sFlat2),
inference(cp,[status(thm)],[t9801,t13315]) ).
cnf(t123,plain,
sFlat1 = join(sFlat1,sFlat2),
inference(cp,[status(thm)],[t19,t120]) ).
cnf(t127,plain,
join(sFlat1,sFlat2) = sFlat1,
inference(orient,[status(thm)],[t123]) ).
cnf(t128,plain,
join(sFlat1,join(sFlat2,X1)) = join(sFlat1,X1),
inference(cp,[status(thm)],[t60,t127]) ).
cnf(t477,plain,
join(sFlat1,join(sFlat2,X1)) = join(sFlat1,X1),
inference(orient,[status(thm)],[t128]) ).
cnf(t3371,plain,
join(sFlat2,sFlat4) = join(join(sFlat2,sFlat4),sFlat6),
inference(cp,[status(thm)],[t630,t3368]) ).
cnf(t13600,plain,
join(sFlat2,sFlat4) = join(sFlat2,join(sFlat4,sFlat6)),
inference(step,[status(thm)],[t3371,t60]) ).
cnf(t3601,plain,
join(sFlat2,join(sFlat4,sFlat6)) = join(sFlat2,sFlat4),
inference(orient,[status(thm)],[t13600]) ).
cnf(t3604,plain,
join(sFlat1,join(sFlat4,sFlat6)) = join(sFlat1,join(sFlat2,sFlat4)),
inference(cp,[status(thm)],[t477,t3601]) ).
cnf(t13601,plain,
join(sFlat1,join(sFlat4,sFlat6)) = join(sFlat1,sFlat4),
inference(step,[status(thm)],[t3604,t477]) ).
cnf(t3612,plain,
join(sFlat1,join(sFlat4,sFlat6)) = join(sFlat1,sFlat4),
inference(orient,[status(thm)],[t13601]) ).
cnf(t3616,plain,
sFlat6 = meet(sFlat6,join(sFlat1,sFlat4)),
inference(cp,[status(thm)],[t704,t3612]) ).
cnf(t3623,plain,
meet(sFlat6,join(sFlat1,sFlat4)) = sFlat6,
inference(orient,[status(thm)],[t3616]) ).
cnf(t13854,plain,
sFlat6 = meet(sFlat5,sFlat2),
inference(step,[status(thm)],[t13316,t3623]) ).
cnf(t13855,plain,
sFlat6 = meet(sFlat2,sFlat5),
inference(step,[status(thm)],[t13854,t20]) ).
cnf(t3633,plain,
sFlat2 = meet(sFlat2,sFlat5),
inference(cp,[status(thm)],[t17,t3630]) ).
cnf(t3650,plain,
meet(sFlat2,sFlat5) = sFlat2,
inference(orient,[status(thm)],[t3633]) ).
cnf(t13856,plain,
sFlat6 = sFlat2,
inference(step,[status(thm)],[t13855,t3650]) ).
cnf(t13335,plain,
sFlat6 = sFlat2,
inference(orient,[status(thm)],[t13856]) ).
cnf(t13857,plain,
meet(sFlat5,a) = sFlat2,
inference(step,[status(thm)],[t3669,t13335]) ).
cnf(t13336,plain,
meet(sFlat5,a) = sFlat2,
inference(orient,[status(thm)],[t13857]) ).
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,t58]) ).
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,t58]) ).
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,t76]) ).
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,t130]) ).
cnf(g0_5,plain,
meet(a,join(sFlat4,meet(a,join(b,meet(c,a))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_4,t20]) ).
cnf(g0_6,plain,
meet(a,join(sFlat4,meet(a,join(b,sFlat0)))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_5,t50]) ).
cnf(g0_7,plain,
meet(a,join(sFlat4,meet(a,join(sFlat0,b)))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_6,t58]) ).
cnf(g0_8,plain,
meet(a,join(sFlat4,meet(a,sFlat1))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_7,t81]) ).
cnf(g0_9,plain,
meet(a,join(sFlat4,meet(sFlat1,a))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_8,t20]) ).
cnf(g0_10,plain,
meet(a,join(sFlat4,sFlat2)) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_9,t120]) ).
cnf(g0_11,plain,
meet(a,join(sFlat2,sFlat4)) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_10,t58]) ).
cnf(g0_12,plain,
meet(a,sFlat5) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_11,t3630]) ).
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,t13336]) ).
cnf(g0_15,plain,
sFlat2 != meet(a,join(b,meet(c,a))),
inference(rw,[status(thm)],[g0_14,t20]) ).
cnf(g0_16,plain,
sFlat2 != meet(a,join(b,sFlat0)),
inference(rw,[status(thm)],[g0_15,t50]) ).
cnf(g0_17,plain,
sFlat2 != meet(a,join(sFlat0,b)),
inference(rw,[status(thm)],[g0_16,t58]) ).
cnf(g0_18,plain,
sFlat2 != meet(a,sFlat1),
inference(rw,[status(thm)],[g0_17,t81]) ).
cnf(g0_19,plain,
sFlat2 != meet(sFlat1,a),
inference(rw,[status(thm)],[g0_18,t20]) ).
cnf(g0_20,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_19,t120]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT152-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/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 : Wed Sep 23 20:25:38 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 36.52/10.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.52/10.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------