%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP183-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 01:25:36 PM UTC 2026
% Result : Unsatisfiable 14.97s 2.39s
% Output : CNFRefutation 14.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 22
% Syntax : Number of clauses : 284 ( 284 unt; 0 nHn; 187 RR)
% Number of literals : 284 ( 283 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 165 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t8,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t67,plain,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t13,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t28,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t13]) ).
cnf(t5,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t43,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t5]) ).
cnf(t53,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2),
inference(cp,[status(thm)],[t28,t43]) ).
cnf(t4,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t22,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t6261,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(step,[status(thm)],[t53,t22]) ).
cnf(t1250,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t6261]) ).
cnf(t17,axiom,
least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t32,plain,
least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2),
inference(orient,[status(thm)],[t17]) ).
cnf(t48,plain,
multiply(least_upper_bound(X1,inverse(X2)),X2) = least_upper_bound(multiply(X1,X2),identity),
inference(cp,[status(thm)],[t32,t43]) ).
cnf(t6528,plain,
multiply(least_upper_bound(X1,inverse(X2)),X2) = least_upper_bound(identity,multiply(X1,X2)),
inference(step,[status(thm)],[t48,t67]) ).
cnf(t5985,plain,
multiply(least_upper_bound(X1,inverse(X2)),X2) = least_upper_bound(identity,multiply(X1,X2)),
inference(orient,[status(thm)],[t6528]) ).
cnf(t12,axiom,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t71,plain,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t12]) ).
cnf(t16,axiom,
least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t29,plain,
least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t16]) ).
cnf(t10,axiom,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t54,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(orient,[status(thm)],[t10]) ).
cnf(t2,axiom,
inverse(inverse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t27,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t19,axiom,
sFlat1 = inverse(a),
introduced(definition) ).
cnf(t107,plain,
inverse(a) = sFlat1,
inference(orient,[status(thm)],[t19]) ).
cnf(t111,plain,
a = inverse(sFlat1),
inference(cp,[status(thm)],[t27,t107]) ).
cnf(t113,plain,
inverse(sFlat1) = a,
inference(orient,[status(thm)],[t111]) ).
cnf(t115,plain,
inverse(multiply(sFlat1,X1)) = multiply(inverse(X1),a),
inference(cp,[status(thm)],[t54,t113]) ).
cnf(t242,plain,
inverse(multiply(sFlat1,X1)) = multiply(inverse(X1),a),
inference(orient,[status(thm)],[t115]) ).
cnf(t110,plain,
identity = multiply(sFlat1,a),
inference(cp,[status(thm)],[t43,t107]) ).
cnf(t122,plain,
multiply(sFlat1,a) = identity,
inference(orient,[status(thm)],[t110]) ).
cnf(t131,plain,
multiply(sFlat1,multiply(a,X1)) = multiply(identity,X1),
inference(cp,[status(thm)],[t28,t122]) ).
cnf(t6187,plain,
multiply(sFlat1,multiply(a,X1)) = X1,
inference(step,[status(thm)],[t131,t22]) ).
cnf(t207,plain,
multiply(sFlat1,multiply(a,X1)) = X1,
inference(orient,[status(thm)],[t6187]) ).
cnf(t114,plain,
inverse(multiply(X1,sFlat1)) = multiply(a,inverse(X1)),
inference(cp,[status(thm)],[t54,t113]) ).
cnf(t237,plain,
inverse(multiply(X1,sFlat1)) = multiply(a,inverse(X1)),
inference(orient,[status(thm)],[t114]) ).
cnf(t33,plain,
multiply(least_upper_bound(identity,X1),X2) = least_upper_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t32,t22]) ).
cnf(t259,plain,
least_upper_bound(X1,multiply(X2,X1)) = multiply(least_upper_bound(identity,X2),X1),
inference(orient,[status(thm)],[t33]) ).
cnf(t116,plain,
identity = multiply(a,sFlat1),
inference(cp,[status(thm)],[t43,t113]) ).
cnf(t135,plain,
multiply(a,sFlat1) = identity,
inference(orient,[status(thm)],[t116]) ).
cnf(t263,plain,
multiply(least_upper_bound(identity,a),sFlat1) = least_upper_bound(sFlat1,identity),
inference(cp,[status(thm)],[t259,t135]) ).
cnf(t18,axiom,
sFlat0 = least_upper_bound(a,identity),
introduced(definition) ).
cnf(t6172,plain,
sFlat0 = least_upper_bound(identity,a),
inference(step,[status(thm)],[t18,t67]) ).
cnf(t84,plain,
least_upper_bound(identity,a) = sFlat0,
inference(orient,[status(thm)],[t6172]) ).
cnf(t6189,plain,
multiply(sFlat0,sFlat1) = least_upper_bound(sFlat1,identity),
inference(step,[status(thm)],[t263,t84]) ).
cnf(t20,axiom,
sFlat2 = least_upper_bound(inverse(a),identity),
introduced(definition) ).
cnf(t6171,plain,
sFlat2 = least_upper_bound(identity,inverse(a)),
inference(step,[status(thm)],[t20,t67]) ).
cnf(t81,plain,
least_upper_bound(identity,inverse(a)) = sFlat2,
inference(orient,[status(thm)],[t6171]) ).
cnf(t6177,plain,
least_upper_bound(identity,sFlat1) = sFlat2,
inference(step,[status(thm)],[t81,t107]) ).
cnf(t112,plain,
least_upper_bound(identity,sFlat1) = sFlat2,
inference(rw,[status(thm)],[t6177]) ).
cnf(t6179,plain,
least_upper_bound(sFlat1,identity) = sFlat2,
inference(step,[status(thm)],[t112,t67]) ).
cnf(t132,plain,
least_upper_bound(sFlat1,identity) = sFlat2,
inference(orient,[status(thm)],[t6179]) ).
cnf(t6190,plain,
multiply(sFlat0,sFlat1) = sFlat2,
inference(step,[status(thm)],[t6189,t132]) ).
cnf(t273,plain,
multiply(sFlat0,sFlat1) = sFlat2,
inference(orient,[status(thm)],[t6190]) ).
cnf(t275,plain,
multiply(a,inverse(sFlat0)) = inverse(sFlat2),
inference(cp,[status(thm)],[t237,t273]) ).
cnf(t285,plain,
multiply(a,inverse(sFlat0)) = inverse(sFlat2),
inference(orient,[status(thm)],[t275]) ).
cnf(t287,plain,
inverse(sFlat0) = multiply(sFlat1,inverse(sFlat2)),
inference(cp,[status(thm)],[t207,t285]) ).
cnf(t297,plain,
multiply(sFlat1,inverse(sFlat2)) = inverse(sFlat0),
inference(orient,[status(thm)],[t287]) ).
cnf(t299,plain,
multiply(inverse(inverse(sFlat2)),a) = inverse(inverse(sFlat0)),
inference(cp,[status(thm)],[t242,t297]) ).
cnf(t6191,plain,
multiply(sFlat2,a) = inverse(inverse(sFlat0)),
inference(step,[status(thm)],[t299,t27]) ).
cnf(t6192,plain,
multiply(sFlat2,a) = sFlat0,
inference(step,[status(thm)],[t6191,t27]) ).
cnf(t309,plain,
multiply(sFlat2,a) = sFlat0,
inference(orient,[status(thm)],[t6192]) ).
cnf(t317,plain,
multiply(sFlat2,least_upper_bound(a,X1)) = least_upper_bound(sFlat0,multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t29,t309]) ).
cnf(t3555,plain,
least_upper_bound(sFlat0,multiply(sFlat2,X1)) = multiply(sFlat2,least_upper_bound(a,X1)),
inference(orient,[status(thm)],[t317]) ).
cnf(t44,plain,
identity = multiply(X1,inverse(X1)),
inference(cp,[status(thm)],[t43,t27]) ).
cnf(t149,plain,
multiply(X1,inverse(X1)) = identity,
inference(orient,[status(thm)],[t44]) ).
cnf(t159,plain,
multiply(X1,multiply(inverse(X1),X2)) = multiply(identity,X2),
inference(cp,[status(thm)],[t28,t149]) ).
cnf(t6262,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(step,[status(thm)],[t159,t22]) ).
cnf(t1300,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t6262]) ).
cnf(t1302,plain,
inverse(X1) = multiply(X2,inverse(multiply(X1,X2))),
inference(cp,[status(thm)],[t1300,t54]) ).
cnf(t1334,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(orient,[status(thm)],[t1302]) ).
cnf(t129,plain,
multiply(sFlat1,least_upper_bound(a,X1)) = least_upper_bound(identity,multiply(sFlat1,X1)),
inference(cp,[status(thm)],[t29,t122]) ).
cnf(t1557,plain,
least_upper_bound(identity,multiply(sFlat1,X1)) = multiply(sFlat1,least_upper_bound(a,X1)),
inference(orient,[status(thm)],[t129]) ).
cnf(t1558,plain,
multiply(sFlat1,least_upper_bound(a,identity)) = multiply(least_upper_bound(identity,sFlat1),identity),
inference(cp,[status(thm)],[t1557,t259]) ).
cnf(t6273,plain,
multiply(sFlat1,least_upper_bound(identity,a)) = multiply(least_upper_bound(identity,sFlat1),identity),
inference(step,[status(thm)],[t1558,t67]) ).
cnf(t6274,plain,
multiply(sFlat1,sFlat0) = multiply(least_upper_bound(identity,sFlat1),identity),
inference(step,[status(thm)],[t6273,t84]) ).
cnf(t0,axiom,
inverse(identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t104,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t105,plain,
inverse(multiply(X1,identity)) = multiply(identity,inverse(X1)),
inference(cp,[status(thm)],[t54,t104]) ).
cnf(t6180,plain,
inverse(multiply(X1,identity)) = inverse(X1),
inference(step,[status(thm)],[t105,t22]) ).
cnf(t160,plain,
inverse(multiply(X1,identity)) = inverse(X1),
inference(orient,[status(thm)],[t6180]) ).
cnf(t164,plain,
multiply(X1,identity) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t27,t160]) ).
cnf(t6181,plain,
multiply(X1,identity) = X1,
inference(step,[status(thm)],[t164,t27]) ).
cnf(t165,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t6181]) ).
cnf(t6275,plain,
multiply(sFlat1,sFlat0) = least_upper_bound(identity,sFlat1),
inference(step,[status(thm)],[t6274,t165]) ).
cnf(t6276,plain,
multiply(sFlat1,sFlat0) = least_upper_bound(sFlat1,identity),
inference(step,[status(thm)],[t6275,t67]) ).
cnf(t6277,plain,
multiply(sFlat1,sFlat0) = sFlat2,
inference(step,[status(thm)],[t6276,t132]) ).
cnf(t1569,plain,
multiply(sFlat1,sFlat0) = sFlat2,
inference(orient,[status(thm)],[t6277]) ).
cnf(t1573,plain,
sFlat0 = multiply(inverse(sFlat1),sFlat2),
inference(cp,[status(thm)],[t1250,t1569]) ).
cnf(t6278,plain,
sFlat0 = multiply(a,sFlat2),
inference(step,[status(thm)],[t1573,t113]) ).
cnf(t1652,plain,
multiply(a,sFlat2) = sFlat0,
inference(orient,[status(thm)],[t6278]) ).
cnf(t1671,plain,
inverse(a) = multiply(sFlat2,inverse(sFlat0)),
inference(cp,[status(thm)],[t1334,t1652]) ).
cnf(t6291,plain,
sFlat1 = multiply(sFlat2,inverse(sFlat0)),
inference(step,[status(thm)],[t1671,t107]) ).
cnf(t1734,plain,
multiply(sFlat2,inverse(sFlat0)) = sFlat1,
inference(orient,[status(thm)],[t6291]) ).
cnf(t3560,plain,
multiply(sFlat2,least_upper_bound(a,inverse(sFlat0))) = least_upper_bound(sFlat0,sFlat1),
inference(cp,[status(thm)],[t3555,t1734]) ).
cnf(t1655,plain,
multiply(least_upper_bound(identity,a),sFlat2) = least_upper_bound(sFlat2,sFlat0),
inference(cp,[status(thm)],[t259,t1652]) ).
cnf(t6279,plain,
multiply(sFlat0,sFlat2) = least_upper_bound(sFlat2,sFlat0),
inference(step,[status(thm)],[t1655,t84]) ).
cnf(t6280,plain,
multiply(sFlat0,sFlat2) = least_upper_bound(sFlat0,sFlat2),
inference(step,[status(thm)],[t6279,t67]) ).
cnf(t9,axiom,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t6,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t87,plain,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
inference(orient,[status(thm)],[t6]) ).
cnf(t90,plain,
X1 = least_upper_bound(X1,greatest_lower_bound(X2,X1)),
inference(cp,[status(thm)],[t24,t87]) ).
cnf(t193,plain,
least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
inference(orient,[status(thm)],[t90]) ).
cnf(t7,axiom,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t26,plain,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t133,plain,
least_upper_bound(sFlat1,least_upper_bound(identity,X1)) = least_upper_bound(sFlat2,X1),
inference(cp,[status(thm)],[t71,t132]) ).
cnf(t439,plain,
least_upper_bound(sFlat1,least_upper_bound(identity,X1)) = least_upper_bound(sFlat2,X1),
inference(orient,[status(thm)],[t133]) ).
cnf(t442,plain,
least_upper_bound(sFlat2,a) = least_upper_bound(sFlat1,sFlat0),
inference(cp,[status(thm)],[t439,t84]) ).
cnf(t6206,plain,
least_upper_bound(sFlat2,a) = least_upper_bound(sFlat0,sFlat1),
inference(step,[status(thm)],[t442,t67]) ).
cnf(t451,plain,
least_upper_bound(sFlat2,a) = least_upper_bound(sFlat0,sFlat1),
inference(orient,[status(thm)],[t6206]) ).
cnf(t456,plain,
sFlat2 = greatest_lower_bound(sFlat2,least_upper_bound(sFlat0,sFlat1)),
inference(cp,[status(thm)],[t26,t451]) ).
cnf(t504,plain,
greatest_lower_bound(sFlat2,least_upper_bound(sFlat0,sFlat1)) = sFlat2,
inference(orient,[status(thm)],[t456]) ).
cnf(t505,plain,
least_upper_bound(sFlat0,sFlat1) = least_upper_bound(least_upper_bound(sFlat0,sFlat1),sFlat2),
inference(cp,[status(thm)],[t193,t504]) ).
cnf(t6215,plain,
least_upper_bound(sFlat0,sFlat1) = least_upper_bound(sFlat0,least_upper_bound(sFlat1,sFlat2)),
inference(step,[status(thm)],[t505,t71]) ).
cnf(t134,plain,
sFlat1 = greatest_lower_bound(sFlat1,sFlat2),
inference(cp,[status(thm)],[t26,t132]) ).
cnf(t147,plain,
greatest_lower_bound(sFlat1,sFlat2) = sFlat1,
inference(orient,[status(thm)],[t134]) ).
cnf(t196,plain,
sFlat2 = least_upper_bound(sFlat2,sFlat1),
inference(cp,[status(thm)],[t193,t147]) ).
cnf(t6185,plain,
sFlat2 = least_upper_bound(sFlat1,sFlat2),
inference(step,[status(thm)],[t196,t67]) ).
cnf(t200,plain,
least_upper_bound(sFlat1,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t6185]) ).
cnf(t6216,plain,
least_upper_bound(sFlat0,sFlat1) = least_upper_bound(sFlat0,sFlat2),
inference(step,[status(thm)],[t6215,t200]) ).
cnf(t507,plain,
least_upper_bound(sFlat0,sFlat2) = least_upper_bound(sFlat0,sFlat1),
inference(orient,[status(thm)],[t6216]) ).
cnf(t6281,plain,
multiply(sFlat0,sFlat2) = least_upper_bound(sFlat0,sFlat1),
inference(step,[status(thm)],[t6280,t507]) ).
cnf(t1695,plain,
least_upper_bound(sFlat0,sFlat1) = multiply(sFlat0,sFlat2),
inference(orient,[status(thm)],[t6281]) ).
cnf(t6511,plain,
multiply(sFlat2,least_upper_bound(a,inverse(sFlat0))) = multiply(sFlat0,sFlat2),
inference(step,[status(thm)],[t3560,t1695]) ).
cnf(t5667,plain,
multiply(sFlat2,least_upper_bound(a,inverse(sFlat0))) = multiply(sFlat0,sFlat2),
inference(orient,[status(thm)],[t6511]) ).
cnf(t5675,plain,
least_upper_bound(a,inverse(sFlat0)) = multiply(inverse(sFlat2),multiply(sFlat0,sFlat2)),
inference(cp,[status(thm)],[t1250,t5667]) ).
cnf(t284,plain,
multiply(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat2,X1),
inference(cp,[status(thm)],[t28,t273]) ).
cnf(t681,plain,
multiply(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t284]) ).
cnf(t1574,plain,
multiply(sFlat2,sFlat0) = multiply(sFlat0,sFlat2),
inference(cp,[status(thm)],[t681,t1569]) ).
cnf(t1674,plain,
multiply(sFlat2,sFlat0) = multiply(sFlat0,sFlat2),
inference(orient,[status(thm)],[t1574]) ).
cnf(t1676,plain,
sFlat0 = multiply(inverse(sFlat2),multiply(sFlat0,sFlat2)),
inference(cp,[status(thm)],[t1250,t1674]) ).
cnf(t2147,plain,
multiply(inverse(sFlat2),multiply(sFlat0,sFlat2)) = sFlat0,
inference(orient,[status(thm)],[t1676]) ).
cnf(t6512,plain,
least_upper_bound(a,inverse(sFlat0)) = sFlat0,
inference(step,[status(thm)],[t5675,t2147]) ).
cnf(t5696,plain,
least_upper_bound(a,inverse(sFlat0)) = sFlat0,
inference(orient,[status(thm)],[t6512]) ).
cnf(t5704,plain,
least_upper_bound(a,least_upper_bound(inverse(sFlat0),X1)) = least_upper_bound(sFlat0,X1),
inference(cp,[status(thm)],[t71,t5696]) ).
cnf(t5919,plain,
least_upper_bound(a,least_upper_bound(inverse(sFlat0),X1)) = least_upper_bound(sFlat0,X1),
inference(orient,[status(thm)],[t5704]) ).
cnf(t14,axiom,
greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,greatest_lower_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t31,plain,
greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,greatest_lower_bound(X2,X3)),
inference(orient,[status(thm)],[t14]) ).
cnf(t166,plain,
multiply(X1,greatest_lower_bound(identity,X2)) = greatest_lower_bound(X1,multiply(X1,X2)),
inference(cp,[status(thm)],[t31,t165]) ).
cnf(t2463,plain,
greatest_lower_bound(X1,multiply(X1,X2)) = multiply(X1,greatest_lower_bound(identity,X2)),
inference(orient,[status(thm)],[t166]) ).
cnf(t2497,plain,
multiply(sFlat0,greatest_lower_bound(identity,sFlat1)) = greatest_lower_bound(sFlat0,sFlat2),
inference(cp,[status(thm)],[t2463,t273]) ).
cnf(t6326,plain,
multiply(sFlat0,greatest_lower_bound(sFlat1,identity)) = greatest_lower_bound(sFlat0,sFlat2),
inference(step,[status(thm)],[t2497,t87]) ).
cnf(t21,axiom,
sFlat3 = greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)),
introduced(definition) ).
cnf(t6173,plain,
sFlat3 = greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(inverse(a),identity)),
inference(step,[status(thm)],[t21,t67]) ).
cnf(t6174,plain,
sFlat3 = greatest_lower_bound(sFlat0,least_upper_bound(inverse(a),identity)),
inference(step,[status(thm)],[t6173,t84]) ).
cnf(t6175,plain,
sFlat3 = greatest_lower_bound(sFlat0,least_upper_bound(identity,inverse(a))),
inference(step,[status(thm)],[t6174,t67]) ).
cnf(t6176,plain,
sFlat3 = greatest_lower_bound(sFlat0,sFlat2),
inference(step,[status(thm)],[t6175,t81]) ).
cnf(t101,plain,
greatest_lower_bound(sFlat0,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t6176]) ).
cnf(t6327,plain,
multiply(sFlat0,greatest_lower_bound(sFlat1,identity)) = sFlat3,
inference(step,[status(thm)],[t6326,t101]) ).
cnf(t2529,plain,
multiply(sFlat0,greatest_lower_bound(sFlat1,identity)) = sFlat3,
inference(orient,[status(thm)],[t6327]) ).
cnf(t2551,plain,
inverse(sFlat0) = multiply(greatest_lower_bound(sFlat1,identity),inverse(sFlat3)),
inference(cp,[status(thm)],[t1334,t2529]) ).
cnf(t2785,plain,
multiply(greatest_lower_bound(sFlat1,identity),inverse(sFlat3)) = inverse(sFlat0),
inference(orient,[status(thm)],[t2551]) ).
cnf(t2788,plain,
multiply(least_upper_bound(identity,greatest_lower_bound(sFlat1,identity)),inverse(sFlat3)) = least_upper_bound(inverse(sFlat3),inverse(sFlat0)),
inference(cp,[status(thm)],[t259,t2785]) ).
cnf(t6342,plain,
multiply(identity,inverse(sFlat3)) = least_upper_bound(inverse(sFlat3),inverse(sFlat0)),
inference(step,[status(thm)],[t2788,t193]) ).
cnf(t6343,plain,
inverse(sFlat3) = least_upper_bound(inverse(sFlat3),inverse(sFlat0)),
inference(step,[status(thm)],[t6342,t22]) ).
cnf(t6344,plain,
inverse(sFlat3) = least_upper_bound(inverse(sFlat0),inverse(sFlat3)),
inference(step,[status(thm)],[t6343,t67]) ).
cnf(t2806,plain,
least_upper_bound(inverse(sFlat0),inverse(sFlat3)) = inverse(sFlat3),
inference(orient,[status(thm)],[t6344]) ).
cnf(t5922,plain,
least_upper_bound(sFlat0,inverse(sFlat3)) = least_upper_bound(a,inverse(sFlat3)),
inference(cp,[status(thm)],[t5919,t2806]) ).
cnf(t5930,plain,
least_upper_bound(a,inverse(sFlat3)) = least_upper_bound(sFlat0,inverse(sFlat3)),
inference(orient,[status(thm)],[t5922]) ).
cnf(t5988,plain,
least_upper_bound(identity,multiply(a,sFlat3)) = multiply(least_upper_bound(sFlat0,inverse(sFlat3)),sFlat3),
inference(cp,[status(thm)],[t5985,t5930]) ).
cnf(t142,plain,
multiply(a,least_upper_bound(sFlat1,X1)) = least_upper_bound(identity,multiply(a,X1)),
inference(cp,[status(thm)],[t29,t135]) ).
cnf(t2449,plain,
least_upper_bound(identity,multiply(a,X1)) = multiply(a,least_upper_bound(sFlat1,X1)),
inference(orient,[status(thm)],[t142]) ).
cnf(t6532,plain,
multiply(a,least_upper_bound(sFlat1,sFlat3)) = multiply(least_upper_bound(sFlat0,inverse(sFlat3)),sFlat3),
inference(step,[status(thm)],[t5988,t2449]) ).
cnf(t447,plain,
least_upper_bound(sFlat2,X1) = least_upper_bound(sFlat1,least_upper_bound(X1,identity)),
inference(cp,[status(thm)],[t439,t67]) ).
cnf(t820,plain,
least_upper_bound(sFlat1,least_upper_bound(X1,identity)) = least_upper_bound(sFlat2,X1),
inference(orient,[status(thm)],[t447]) ).
cnf(t11,axiom,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t91,plain,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t103,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(sFlat2,X1)) = greatest_lower_bound(sFlat3,X1),
inference(cp,[status(thm)],[t91,t101]) ).
cnf(t365,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(sFlat2,X1)) = greatest_lower_bound(sFlat3,X1),
inference(orient,[status(thm)],[t103]) ).
cnf(t70,plain,
X1 = greatest_lower_bound(X1,least_upper_bound(X2,X1)),
inference(cp,[status(thm)],[t26,t67]) ).
cnf(t170,plain,
greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(orient,[status(thm)],[t70]) ).
cnf(t173,plain,
identity = greatest_lower_bound(identity,sFlat2),
inference(cp,[status(thm)],[t170,t132]) ).
cnf(t6182,plain,
identity = greatest_lower_bound(sFlat2,identity),
inference(step,[status(thm)],[t173,t87]) ).
cnf(t179,plain,
greatest_lower_bound(sFlat2,identity) = identity,
inference(orient,[status(thm)],[t6182]) ).
cnf(t366,plain,
greatest_lower_bound(sFlat3,identity) = greatest_lower_bound(sFlat0,identity),
inference(cp,[status(thm)],[t365,t179]) ).
cnf(t86,plain,
identity = greatest_lower_bound(identity,sFlat0),
inference(cp,[status(thm)],[t26,t84]) ).
cnf(t6178,plain,
identity = greatest_lower_bound(sFlat0,identity),
inference(step,[status(thm)],[t86,t87]) ).
cnf(t117,plain,
greatest_lower_bound(sFlat0,identity) = identity,
inference(orient,[status(thm)],[t6178]) ).
cnf(t6201,plain,
greatest_lower_bound(sFlat3,identity) = identity,
inference(step,[status(thm)],[t366,t117]) ).
cnf(t375,plain,
greatest_lower_bound(sFlat3,identity) = identity,
inference(orient,[status(thm)],[t6201]) ).
cnf(t376,plain,
sFlat3 = least_upper_bound(sFlat3,identity),
inference(cp,[status(thm)],[t24,t375]) ).
cnf(t378,plain,
least_upper_bound(sFlat3,identity) = sFlat3,
inference(orient,[status(thm)],[t376]) ).
cnf(t822,plain,
least_upper_bound(sFlat2,sFlat3) = least_upper_bound(sFlat1,sFlat3),
inference(cp,[status(thm)],[t820,t378]) ).
cnf(t197,plain,
sFlat2 = least_upper_bound(sFlat2,sFlat3),
inference(cp,[status(thm)],[t193,t101]) ).
cnf(t202,plain,
least_upper_bound(sFlat2,sFlat3) = sFlat2,
inference(orient,[status(thm)],[t197]) ).
cnf(t6232,plain,
sFlat2 = least_upper_bound(sFlat1,sFlat3),
inference(step,[status(thm)],[t822,t202]) ).
cnf(t829,plain,
least_upper_bound(sFlat1,sFlat3) = sFlat2,
inference(orient,[status(thm)],[t6232]) ).
cnf(t6533,plain,
multiply(a,sFlat2) = multiply(least_upper_bound(sFlat0,inverse(sFlat3)),sFlat3),
inference(step,[status(thm)],[t6532,t829]) ).
cnf(t6534,plain,
sFlat0 = multiply(least_upper_bound(sFlat0,inverse(sFlat3)),sFlat3),
inference(step,[status(thm)],[t6533,t1652]) ).
cnf(t6535,plain,
sFlat0 = least_upper_bound(identity,multiply(sFlat0,sFlat3)),
inference(step,[status(thm)],[t6534,t5985]) ).
cnf(t15,axiom,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t38,plain,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
inference(orient,[status(thm)],[t15]) ).
cnf(t46,plain,
multiply(greatest_lower_bound(X1,inverse(X2)),X2) = greatest_lower_bound(multiply(X1,X2),identity),
inference(cp,[status(thm)],[t38,t43]) ).
cnf(t6438,plain,
multiply(greatest_lower_bound(X1,inverse(X2)),X2) = greatest_lower_bound(identity,multiply(X1,X2)),
inference(step,[status(thm)],[t46,t87]) ).
cnf(t4437,plain,
multiply(greatest_lower_bound(X1,inverse(X2)),X2) = greatest_lower_bound(identity,multiply(X1,X2)),
inference(orient,[status(thm)],[t6438]) ).
cnf(t3,axiom,
least_upper_bound(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t23,plain,
least_upper_bound(X1,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t75,plain,
least_upper_bound(X1,least_upper_bound(X1,X2)) = least_upper_bound(X1,X2),
inference(cp,[status(thm)],[t71,t23]) ).
cnf(t246,plain,
least_upper_bound(X1,least_upper_bound(X1,X2)) = least_upper_bound(X1,X2),
inference(orient,[status(thm)],[t75]) ).
cnf(t286,plain,
multiply(least_upper_bound(identity,a),inverse(sFlat0)) = least_upper_bound(inverse(sFlat0),inverse(sFlat2)),
inference(cp,[status(thm)],[t259,t285]) ).
cnf(t6195,plain,
multiply(sFlat0,inverse(sFlat0)) = least_upper_bound(inverse(sFlat0),inverse(sFlat2)),
inference(step,[status(thm)],[t286,t84]) ).
cnf(t6196,plain,
identity = least_upper_bound(inverse(sFlat0),inverse(sFlat2)),
inference(step,[status(thm)],[t6195,t149]) ).
cnf(t341,plain,
least_upper_bound(inverse(sFlat0),inverse(sFlat2)) = identity,
inference(orient,[status(thm)],[t6196]) ).
cnf(t342,plain,
least_upper_bound(inverse(sFlat0),inverse(sFlat2)) = least_upper_bound(inverse(sFlat0),identity),
inference(cp,[status(thm)],[t246,t341]) ).
cnf(t6197,plain,
identity = least_upper_bound(inverse(sFlat0),identity),
inference(step,[status(thm)],[t342,t341]) ).
cnf(t6198,plain,
identity = least_upper_bound(identity,inverse(sFlat0)),
inference(step,[status(thm)],[t6197,t67]) ).
cnf(t346,plain,
least_upper_bound(identity,inverse(sFlat0)) = identity,
inference(orient,[status(thm)],[t6198]) ).
cnf(t440,plain,
least_upper_bound(sFlat2,inverse(sFlat0)) = least_upper_bound(sFlat1,identity),
inference(cp,[status(thm)],[t439,t346]) ).
cnf(t6207,plain,
least_upper_bound(sFlat2,inverse(sFlat0)) = sFlat2,
inference(step,[status(thm)],[t440,t132]) ).
cnf(t457,plain,
least_upper_bound(sFlat2,inverse(sFlat0)) = sFlat2,
inference(orient,[status(thm)],[t6207]) ).
cnf(t459,plain,
inverse(sFlat0) = greatest_lower_bound(inverse(sFlat0),sFlat2),
inference(cp,[status(thm)],[t170,t457]) ).
cnf(t6209,plain,
inverse(sFlat0) = greatest_lower_bound(sFlat2,inverse(sFlat0)),
inference(step,[status(thm)],[t459,t87]) ).
cnf(t465,plain,
greatest_lower_bound(sFlat2,inverse(sFlat0)) = inverse(sFlat0),
inference(orient,[status(thm)],[t6209]) ).
cnf(t466,plain,
greatest_lower_bound(sFlat3,inverse(sFlat0)) = greatest_lower_bound(sFlat0,inverse(sFlat0)),
inference(cp,[status(thm)],[t365,t465]) ).
cnf(t119,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(identity,X1),
inference(cp,[status(thm)],[t91,t117]) ).
cnf(t406,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(identity,X1),
inference(orient,[status(thm)],[t119]) ).
cnf(t345,plain,
inverse(sFlat0) = greatest_lower_bound(inverse(sFlat0),identity),
inference(cp,[status(thm)],[t26,t341]) ).
cnf(t6200,plain,
inverse(sFlat0) = greatest_lower_bound(identity,inverse(sFlat0)),
inference(step,[status(thm)],[t345,t87]) ).
cnf(t355,plain,
greatest_lower_bound(identity,inverse(sFlat0)) = inverse(sFlat0),
inference(orient,[status(thm)],[t6200]) ).
cnf(t408,plain,
greatest_lower_bound(identity,inverse(sFlat0)) = greatest_lower_bound(sFlat0,inverse(sFlat0)),
inference(cp,[status(thm)],[t406,t355]) ).
cnf(t6205,plain,
inverse(sFlat0) = greatest_lower_bound(sFlat0,inverse(sFlat0)),
inference(step,[status(thm)],[t408,t355]) ).
cnf(t418,plain,
greatest_lower_bound(sFlat0,inverse(sFlat0)) = inverse(sFlat0),
inference(orient,[status(thm)],[t6205]) ).
cnf(t6211,plain,
greatest_lower_bound(sFlat3,inverse(sFlat0)) = inverse(sFlat0),
inference(step,[status(thm)],[t466,t418]) ).
cnf(t471,plain,
greatest_lower_bound(sFlat3,inverse(sFlat0)) = inverse(sFlat0),
inference(orient,[status(thm)],[t6211]) ).
cnf(t4440,plain,
greatest_lower_bound(identity,multiply(sFlat3,sFlat0)) = multiply(inverse(sFlat0),sFlat0),
inference(cp,[status(thm)],[t4437,t471]) ).
cnf(t57,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(cp,[status(thm)],[t54,t27]) ).
cnf(t1326,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(orient,[status(thm)],[t57]) ).
cnf(t1327,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(cp,[status(thm)],[t1326,t1250]) ).
cnf(t1352,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(orient,[status(thm)],[t1327]) ).
cnf(t2533,plain,
greatest_lower_bound(sFlat1,identity) = multiply(inverse(sFlat0),sFlat3),
inference(cp,[status(thm)],[t1250,t2529]) ).
cnf(t2554,plain,
multiply(inverse(sFlat0),sFlat3) = greatest_lower_bound(sFlat1,identity),
inference(orient,[status(thm)],[t2533]) ).
cnf(t2572,plain,
inverse(inverse(sFlat0)) = multiply(sFlat3,inverse(greatest_lower_bound(sFlat1,identity))),
inference(cp,[status(thm)],[t1334,t2554]) ).
cnf(t6338,plain,
sFlat0 = multiply(sFlat3,inverse(greatest_lower_bound(sFlat1,identity))),
inference(step,[status(thm)],[t2572,t27]) ).
cnf(t39,plain,
multiply(greatest_lower_bound(identity,X1),X2) = greatest_lower_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t38,t22]) ).
cnf(t1372,plain,
greatest_lower_bound(X1,multiply(X2,X1)) = multiply(greatest_lower_bound(identity,X2),X1),
inference(orient,[status(thm)],[t39]) ).
cnf(t1572,plain,
multiply(greatest_lower_bound(identity,sFlat1),sFlat0) = greatest_lower_bound(sFlat0,sFlat2),
inference(cp,[status(thm)],[t1372,t1569]) ).
cnf(t6296,plain,
multiply(greatest_lower_bound(sFlat1,identity),sFlat0) = greatest_lower_bound(sFlat0,sFlat2),
inference(step,[status(thm)],[t1572,t87]) ).
cnf(t6297,plain,
multiply(greatest_lower_bound(sFlat1,identity),sFlat0) = sFlat3,
inference(step,[status(thm)],[t6296,t101]) ).
cnf(t1797,plain,
multiply(greatest_lower_bound(sFlat1,identity),sFlat0) = sFlat3,
inference(orient,[status(thm)],[t6297]) ).
cnf(t1814,plain,
inverse(greatest_lower_bound(sFlat1,identity)) = multiply(sFlat0,inverse(sFlat3)),
inference(cp,[status(thm)],[t1334,t1797]) ).
cnf(t1837,plain,
inverse(greatest_lower_bound(sFlat1,identity)) = multiply(sFlat0,inverse(sFlat3)),
inference(orient,[status(thm)],[t1814]) ).
cnf(t6339,plain,
sFlat0 = multiply(sFlat3,multiply(sFlat0,inverse(sFlat3))),
inference(step,[status(thm)],[t6338,t1837]) ).
cnf(t2733,plain,
multiply(sFlat3,multiply(sFlat0,inverse(sFlat3))) = sFlat0,
inference(orient,[status(thm)],[t6339]) ).
cnf(t2755,plain,
inverse(sFlat3) = multiply(multiply(sFlat0,inverse(sFlat3)),inverse(sFlat0)),
inference(cp,[status(thm)],[t1334,t2733]) ).
cnf(t6345,plain,
inverse(sFlat3) = multiply(sFlat0,multiply(inverse(sFlat3),inverse(sFlat0))),
inference(step,[status(thm)],[t2755,t28]) ).
cnf(t6346,plain,
inverse(sFlat3) = multiply(sFlat0,inverse(multiply(sFlat0,sFlat3))),
inference(step,[status(thm)],[t6345,t54]) ).
cnf(t2834,plain,
multiply(sFlat0,inverse(multiply(sFlat0,sFlat3))) = inverse(sFlat3),
inference(orient,[status(thm)],[t6346]) ).
cnf(t2855,plain,
inverse(inverse(multiply(sFlat0,sFlat3))) = multiply(inverse(inverse(sFlat3)),sFlat0),
inference(cp,[status(thm)],[t1352,t2834]) ).
cnf(t6347,plain,
multiply(sFlat0,sFlat3) = multiply(inverse(inverse(sFlat3)),sFlat0),
inference(step,[status(thm)],[t2855,t27]) ).
cnf(t6348,plain,
multiply(sFlat0,sFlat3) = multiply(sFlat3,sFlat0),
inference(step,[status(thm)],[t6347,t27]) ).
cnf(t2859,plain,
multiply(sFlat3,sFlat0) = multiply(sFlat0,sFlat3),
inference(orient,[status(thm)],[t6348]) ).
cnf(t6439,plain,
greatest_lower_bound(identity,multiply(sFlat0,sFlat3)) = multiply(inverse(sFlat0),sFlat0),
inference(step,[status(thm)],[t4440,t2859]) ).
cnf(t6440,plain,
greatest_lower_bound(identity,multiply(sFlat0,sFlat3)) = identity,
inference(step,[status(thm)],[t6439,t43]) ).
cnf(t4495,plain,
greatest_lower_bound(identity,multiply(sFlat0,sFlat3)) = identity,
inference(orient,[status(thm)],[t6440]) ).
cnf(t4496,plain,
multiply(sFlat0,sFlat3) = least_upper_bound(multiply(sFlat0,sFlat3),identity),
inference(cp,[status(thm)],[t193,t4495]) ).
cnf(t6444,plain,
multiply(sFlat0,sFlat3) = least_upper_bound(identity,multiply(sFlat0,sFlat3)),
inference(step,[status(thm)],[t4496,t67]) ).
cnf(t4504,plain,
least_upper_bound(identity,multiply(sFlat0,sFlat3)) = multiply(sFlat0,sFlat3),
inference(orient,[status(thm)],[t6444]) ).
cnf(t6536,plain,
sFlat0 = multiply(sFlat0,sFlat3),
inference(step,[status(thm)],[t6535,t4504]) ).
cnf(t6045,plain,
multiply(sFlat0,sFlat3) = sFlat0,
inference(orient,[status(thm)],[t6536]) ).
cnf(t6060,plain,
sFlat3 = multiply(inverse(sFlat0),sFlat0),
inference(cp,[status(thm)],[t1250,t6045]) ).
cnf(t6551,plain,
sFlat3 = identity,
inference(step,[status(thm)],[t6060,t43]) ).
cnf(t6087,plain,
identity = sFlat3,
inference(orient,[status(thm)],[t6551]) ).
cnf(t380,plain,
least_upper_bound(sFlat3,least_upper_bound(identity,X1)) = least_upper_bound(sFlat3,X1),
inference(cp,[status(thm)],[t71,t378]) ).
cnf(t769,plain,
least_upper_bound(sFlat3,least_upper_bound(identity,X1)) = least_upper_bound(sFlat3,X1),
inference(orient,[status(thm)],[t380]) ).
cnf(t770,plain,
least_upper_bound(sFlat3,a) = least_upper_bound(sFlat3,sFlat0),
inference(cp,[status(thm)],[t769,t84]) ).
cnf(t6227,plain,
least_upper_bound(sFlat3,a) = least_upper_bound(sFlat0,sFlat3),
inference(step,[status(thm)],[t770,t67]) ).
cnf(t102,plain,
sFlat0 = least_upper_bound(sFlat0,sFlat3),
inference(cp,[status(thm)],[t24,t101]) ).
cnf(t120,plain,
least_upper_bound(sFlat0,sFlat3) = sFlat0,
inference(orient,[status(thm)],[t102]) ).
cnf(t6228,plain,
least_upper_bound(sFlat3,a) = sFlat0,
inference(step,[status(thm)],[t6227,t120]) ).
cnf(t776,plain,
least_upper_bound(sFlat3,a) = sFlat0,
inference(orient,[status(thm)],[t6228]) ).
cnf(goal_0,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(inverse(a),identity)) != identity,
inference(rw,[status(thm)],[goal_0,t67]) ).
cnf(g0_1,plain,
greatest_lower_bound(least_upper_bound(sFlat3,a),least_upper_bound(inverse(a),identity)) != identity,
inference(rw,[status(thm)],[g0_0,t6087]) ).
cnf(g0_2,plain,
greatest_lower_bound(sFlat0,least_upper_bound(inverse(a),identity)) != identity,
inference(rw,[status(thm)],[g0_1,t776]) ).
cnf(g0_3,plain,
greatest_lower_bound(sFlat0,least_upper_bound(identity,inverse(a))) != identity,
inference(rw,[status(thm)],[g0_2,t67]) ).
cnf(g0_4,plain,
greatest_lower_bound(sFlat0,least_upper_bound(sFlat3,inverse(a))) != identity,
inference(rw,[status(thm)],[g0_3,t6087]) ).
cnf(g0_5,plain,
greatest_lower_bound(sFlat0,least_upper_bound(sFlat3,sFlat1)) != identity,
inference(rw,[status(thm)],[g0_4,t107]) ).
cnf(g0_6,plain,
greatest_lower_bound(sFlat0,least_upper_bound(sFlat1,sFlat3)) != identity,
inference(rw,[status(thm)],[g0_5,t67]) ).
cnf(g0_7,plain,
greatest_lower_bound(sFlat0,sFlat2) != identity,
inference(rw,[status(thm)],[g0_6,t829]) ).
cnf(g0_8,plain,
sFlat3 != identity,
inference(rw,[status(thm)],[g0_7,t101]) ).
cnf(g0_9,plain,
sFlat3 != sFlat3,
inference(rw,[status(thm)],[g0_8,t6087]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP183-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 14:02:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.97/2.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.97/2.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------