%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL109-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:00:58 PM UTC 2026
% Result : Unsatisfiable 35.19s 5.18s
% Output : CNFRefutation 35.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 5
% Syntax : Number of clauses : 148 ( 148 unt; 0 nHn; 17 RR)
% Number of literals : 148 ( 147 equ; 6 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 266 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t3,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t69,plain,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t3]) ).
cnf(t102,plain,
truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X3,X2)),Y3),implies(implies(X3,X1),Y3))),
inference(cp,[status(thm)],[t69,t69]) ).
cnf(t0,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
implies(truth,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t12907,plain,
truth = implies(implies(implies(implies(X1,X2),implies(X3,X2)),Y3),implies(implies(X3,X1),Y3)),
inference(step,[status(thm)],[t102,t4]) ).
cnf(t2398,plain,
implies(implies(implies(implies(X1,X2),implies(X3,X2)),Y3),implies(implies(X3,X1),Y3)) = truth,
inference(orient,[status(thm)],[t12907]) ).
cnf(t70,plain,
truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))),
inference(cp,[status(thm)],[t69,t4]) ).
cnf(t12819,plain,
truth = implies(X1,implies(implies(X1,X2),X2)),
inference(step,[status(thm)],[t70,t4]) ).
cnf(t110,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(orient,[status(thm)],[t12819]) ).
cnf(t126,plain,
truth = implies(truth,implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))),
inference(cp,[status(thm)],[t69,t110]) ).
cnf(t12917,plain,
truth = implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)),
inference(step,[status(thm)],[t126,t4]) ).
cnf(t3435,plain,
implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) = truth,
inference(orient,[status(thm)],[t12917]) ).
cnf(t3507,plain,
truth = implies(truth,implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
inference(cp,[status(thm)],[t2398,t3435]) ).
cnf(t12976,plain,
truth = implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))),
inference(step,[status(thm)],[t3507,t4]) ).
cnf(t10310,plain,
implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t12976]) ).
cnf(t10404,plain,
implies(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))),
inference(cp,[status(thm)],[t10,t10310]) ).
cnf(t12980,plain,
implies(truth,implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))),
inference(step,[status(thm)],[t10404,t10310]) ).
cnf(t12981,plain,
implies(X2,implies(X1,X3)) = implies(truth,implies(X1,implies(X2,X3))),
inference(step,[status(thm)],[t12980,t4]) ).
cnf(t12982,plain,
implies(X2,implies(X1,X3)) = implies(X1,implies(X2,X3)),
inference(step,[status(thm)],[t12981,t4]) ).
cnf(t10536,plain,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
inference(orient,[status(thm)],[t12982]) ).
cnf(t2,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t2]) ).
cnf(t11,plain,
implies(implies(X1,truth),truth) = implies(X1,X1),
inference(cp,[status(thm)],[t10,t4]) ).
cnf(t17,plain,
implies(implies(X1,truth),truth) = implies(X1,X1),
inference(orient,[status(thm)],[t11]) ).
cnf(t115,plain,
truth = implies(X1,implies(X1,X1)),
inference(cp,[status(thm)],[t110,t17]) ).
cnf(t111,plain,
truth = implies(implies(truth,X1),X1),
inference(cp,[status(thm)],[t110,t4]) ).
cnf(t12820,plain,
truth = implies(X1,X1),
inference(step,[status(thm)],[t111,t4]) ).
cnf(t129,plain,
implies(X1,X1) = truth,
inference(orient,[status(thm)],[t12820]) ).
cnf(t12823,plain,
truth = implies(X1,truth),
inference(step,[status(thm)],[t115,t129]) ).
cnf(t140,plain,
implies(X1,truth) = truth,
inference(orient,[status(thm)],[t12823]) ).
cnf(t143,plain,
truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))),
inference(cp,[status(thm)],[t69,t140]) ).
cnf(t12826,plain,
truth = implies(implies(truth,X1),implies(X2,X1)),
inference(step,[status(thm)],[t143,t4]) ).
cnf(t12827,plain,
truth = implies(X1,implies(X2,X1)),
inference(step,[status(thm)],[t12826,t4]) ).
cnf(t144,plain,
implies(X1,implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t12827]) ).
cnf(t146,plain,
truth = implies(truth,implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(cp,[status(thm)],[t69,t144]) ).
cnf(t12835,plain,
truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)),
inference(step,[status(thm)],[t146,t4]) ).
cnf(t167,plain,
implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth,
inference(orient,[status(thm)],[t12835]) ).
cnf(t6,plain,
truth = implies(implies(not(X1),not(truth)),X1),
inference(cp,[status(thm)],[t5,t4]) ).
cnf(t8,plain,
implies(implies(not(X1),not(truth)),X1) = truth,
inference(orient,[status(thm)],[t6]) ).
cnf(t169,plain,
truth = implies(truth,implies(not(truth),X1)),
inference(cp,[status(thm)],[t167,t8]) ).
cnf(t12836,plain,
truth = implies(not(truth),X1),
inference(step,[status(thm)],[t169,t4]) ).
cnf(t181,plain,
implies(not(truth),X1) = truth,
inference(orient,[status(thm)],[t12836]) ).
cnf(t183,plain,
implies(implies(X1,not(truth)),not(truth)) = implies(truth,X1),
inference(cp,[status(thm)],[t10,t181]) ).
cnf(t12840,plain,
implies(implies(X1,not(truth)),not(truth)) = X1,
inference(step,[status(thm)],[t183,t4]) ).
cnf(t200,plain,
implies(implies(X1,not(truth)),not(truth)) = X1,
inference(orient,[status(thm)],[t12840]) ).
cnf(t201,plain,
truth = implies(implies(not(not(truth)),not(implies(X1,not(truth)))),X1),
inference(cp,[status(thm)],[t5,t200]) ).
cnf(t15,plain,
implies(implies(X1,implies(X2,X1)),implies(X2,X1)) = implies(implies(implies(X1,X2),X2),X1),
inference(cp,[status(thm)],[t10,t10]) ).
cnf(t12813,plain,
implies(implies(implies(X2,X1),X1),X1) = implies(implies(implies(X1,X2),X2),X1),
inference(step,[status(thm)],[t15,t10]) ).
cnf(t26,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(implies(implies(X2,X1),X1),X2),
inference(orient,[status(thm)],[t12813]) ).
cnf(t31,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(implies(X1,implies(X2,X1)),implies(X2,X1)),
inference(cp,[status(thm)],[t26,t10]) ).
cnf(t12818,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(implies(implies(X2,X1),X1),X1),
inference(step,[status(thm)],[t31,t10]) ).
cnf(t51,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(implies(implies(X2,X1),X1),X1),
inference(orient,[status(thm)],[t12818]) ).
cnf(t145,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(truth,implies(X1,X2)),
inference(cp,[status(thm)],[t10,t144]) ).
cnf(t12828,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2),
inference(step,[status(thm)],[t145,t4]) ).
cnf(t148,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2),
inference(orient,[status(thm)],[t12828]) ).
cnf(t12830,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(X2,X1),
inference(step,[status(thm)],[t51,t148]) ).
cnf(t150,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(X2,X1),
inference(orient,[status(thm)],[t12830]) ).
cnf(t152,plain,
implies(not(not(truth)),not(truth)) = implies(truth,not(truth)),
inference(cp,[status(thm)],[t148,t8]) ).
cnf(t12832,plain,
implies(not(not(truth)),not(truth)) = not(truth),
inference(step,[status(thm)],[t152,t4]) ).
cnf(t158,plain,
implies(not(not(truth)),not(truth)) = not(truth),
inference(orient,[status(thm)],[t12832]) ).
cnf(t160,plain,
implies(not(truth),not(not(truth))) = implies(implies(not(truth),not(truth)),not(not(truth))),
inference(cp,[status(thm)],[t150,t158]) ).
cnf(t12833,plain,
implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))),
inference(step,[status(thm)],[t160,t129]) ).
cnf(t12834,plain,
implies(not(truth),not(not(truth))) = not(not(truth)),
inference(step,[status(thm)],[t12833,t4]) ).
cnf(t163,plain,
implies(not(truth),not(not(truth))) = not(not(truth)),
inference(orient,[status(thm)],[t12834]) ).
cnf(t12837,plain,
truth = not(not(truth)),
inference(step,[status(thm)],[t163,t181]) ).
cnf(t182,plain,
truth = not(not(truth)),
inference(rw,[status(thm)],[t12837]) ).
cnf(t185,plain,
not(not(truth)) = truth,
inference(orient,[status(thm)],[t182]) ).
cnf(t12841,plain,
truth = implies(implies(truth,not(implies(X1,not(truth)))),X1),
inference(step,[status(thm)],[t201,t185]) ).
cnf(t12842,plain,
truth = implies(not(implies(X1,not(truth))),X1),
inference(step,[status(thm)],[t12841,t4]) ).
cnf(t206,plain,
implies(not(implies(X1,not(truth))),X1) = truth,
inference(orient,[status(thm)],[t12842]) ).
cnf(t207,plain,
truth = implies(truth,implies(X1,implies(not(X1),not(truth)))),
inference(cp,[status(thm)],[t5,t206]) ).
cnf(t12843,plain,
truth = implies(X1,implies(not(X1),not(truth))),
inference(step,[status(thm)],[t207,t4]) ).
cnf(t211,plain,
implies(X1,implies(not(X1),not(truth))) = truth,
inference(orient,[status(thm)],[t12843]) ).
cnf(t212,plain,
implies(implies(implies(not(X1),not(truth)),X1),X1) = implies(truth,implies(not(X1),not(truth))),
inference(cp,[status(thm)],[t10,t211]) ).
cnf(t12844,plain,
implies(truth,X1) = implies(truth,implies(not(X1),not(truth))),
inference(step,[status(thm)],[t212,t8]) ).
cnf(t12845,plain,
X1 = implies(truth,implies(not(X1),not(truth))),
inference(step,[status(thm)],[t12844,t4]) ).
cnf(t12846,plain,
X1 = implies(not(X1),not(truth)),
inference(step,[status(thm)],[t12845,t4]) ).
cnf(t216,plain,
implies(not(X1),not(truth)) = X1,
inference(orient,[status(thm)],[t12846]) ).
cnf(t220,plain,
implies(implies(not(truth),not(X1)),not(X1)) = implies(X1,not(truth)),
inference(cp,[status(thm)],[t10,t216]) ).
cnf(t12847,plain,
implies(truth,not(X1)) = implies(X1,not(truth)),
inference(step,[status(thm)],[t220,t181]) ).
cnf(t12848,plain,
not(X1) = implies(X1,not(truth)),
inference(step,[status(thm)],[t12847,t4]) ).
cnf(t226,plain,
implies(X1,not(truth)) = not(X1),
inference(orient,[status(thm)],[t12848]) ).
cnf(t230,plain,
truth = implies(implies(X1,X2),implies(not(X2),implies(X1,not(truth)))),
inference(cp,[status(thm)],[t69,t226]) ).
cnf(t12865,plain,
truth = implies(implies(X1,X2),implies(not(X2),not(X1))),
inference(step,[status(thm)],[t230,t226]) ).
cnf(t396,plain,
implies(implies(X1,X2),implies(not(X2),not(X1))) = truth,
inference(orient,[status(thm)],[t12865]) ).
cnf(t417,plain,
implies(implies(implies(not(X1),not(X2)),implies(X2,X1)),implies(X2,X1)) = implies(truth,implies(not(X1),not(X2))),
inference(cp,[status(thm)],[t10,t396]) ).
cnf(t12866,plain,
implies(truth,implies(X2,X1)) = implies(truth,implies(not(X1),not(X2))),
inference(step,[status(thm)],[t417,t5]) ).
cnf(t12867,plain,
implies(X2,X1) = implies(truth,implies(not(X1),not(X2))),
inference(step,[status(thm)],[t12866,t4]) ).
cnf(t12868,plain,
implies(X2,X1) = implies(not(X1),not(X2)),
inference(step,[status(thm)],[t12867,t4]) ).
cnf(t421,plain,
implies(not(X1),not(X2)) = implies(X2,X1),
inference(orient,[status(thm)],[t12868]) ).
cnf(t12849,plain,
not(implies(X1,not(truth))) = X1,
inference(step,[status(thm)],[t200,t226]) ).
cnf(t12850,plain,
not(not(X1)) = X1,
inference(step,[status(thm)],[t12849,t226]) ).
cnf(t227,plain,
not(not(X1)) = X1,
inference(rw,[status(thm)],[t12850]) ).
cnf(t233,plain,
not(not(X1)) = X1,
inference(orient,[status(thm)],[t227]) ).
cnf(t427,plain,
implies(not(X1),X2) = implies(not(X2),X1),
inference(cp,[status(thm)],[t421,t233]) ).
cnf(t469,plain,
implies(not(X1),X2) = implies(not(X2),X1),
inference(orient,[status(thm)],[t427]) ).
cnf(t10619,plain,
implies(X1,implies(not(X2),X3)) = implies(not(implies(X1,X3)),X2),
inference(cp,[status(thm)],[t10536,t469]) ).
cnf(t10898,plain,
implies(not(implies(X1,X2)),X3) = implies(X1,implies(not(X3),X2)),
inference(orient,[status(thm)],[t10619]) ).
cnf(t429,plain,
implies(not(X1),not(X2)) = implies(implies(implies(X1,X2),not(X1)),not(X2)),
inference(cp,[status(thm)],[t150,t421]) ).
cnf(t12872,plain,
implies(X2,X1) = implies(implies(implies(X1,X2),not(X1)),not(X2)),
inference(step,[status(thm)],[t429,t421]) ).
cnf(t426,plain,
implies(X1,not(X2)) = implies(X2,not(X1)),
inference(cp,[status(thm)],[t421,t233]) ).
cnf(t439,plain,
implies(X1,not(X2)) = implies(X2,not(X1)),
inference(orient,[status(thm)],[t426]) ).
cnf(t12873,plain,
implies(X2,X1) = implies(X2,not(implies(implies(X1,X2),not(X1)))),
inference(step,[status(thm)],[t12872,t439]) ).
cnf(t12874,plain,
implies(X2,X1) = implies(X2,not(implies(X1,not(implies(X1,X2))))),
inference(step,[status(thm)],[t12873,t439]) ).
cnf(t531,plain,
implies(X1,not(implies(X2,not(implies(X2,X1))))) = implies(X1,X2),
inference(orient,[status(thm)],[t12874]) ).
cnf(t10952,plain,
implies(X1,implies(not(X2),not(implies(X3,not(implies(X3,X1)))))) = implies(not(implies(X1,X3)),X2),
inference(cp,[status(thm)],[t10898,t531]) ).
cnf(t13035,plain,
implies(X1,implies(implies(X3,not(implies(X3,X1))),X2)) = implies(not(implies(X1,X3)),X2),
inference(step,[status(thm)],[t10952,t421]) ).
cnf(t13036,plain,
implies(X1,implies(implies(X3,not(implies(X3,X1))),X2)) = implies(X1,implies(not(X2),X3)),
inference(step,[status(thm)],[t13035,t10898]) ).
cnf(t12539,plain,
implies(X1,implies(implies(X2,not(implies(X2,X1))),X3)) = implies(X1,implies(not(X3),X2)),
inference(orient,[status(thm)],[t13036]) ).
cnf(t12542,plain,
implies(X1,implies(not(not(implies(X2,X1))),X2)) = implies(X1,implies(implies(not(implies(X2,X1)),X2),X2)),
inference(cp,[status(thm)],[t12539,t10]) ).
cnf(t174,plain,
truth = implies(truth,implies(X1,implies(X2,implies(X3,X1)))),
inference(cp,[status(thm)],[t167,t144]) ).
cnf(t12839,plain,
truth = implies(X1,implies(X2,implies(X3,X1))),
inference(step,[status(thm)],[t174,t4]) ).
cnf(t194,plain,
implies(X1,implies(X2,implies(X3,X1))) = truth,
inference(orient,[status(thm)],[t12839]) ).
cnf(t196,plain,
implies(implies(implies(X1,implies(X2,X3)),X3),X3) = implies(truth,implies(X1,implies(X2,X3))),
inference(cp,[status(thm)],[t10,t194]) ).
cnf(t12863,plain,
implies(implies(implies(X1,implies(X2,X3)),X3),X3) = implies(X1,implies(X2,X3)),
inference(step,[status(thm)],[t196,t4]) ).
cnf(t377,plain,
implies(implies(implies(X1,implies(X2,X3)),X3),X3) = implies(X1,implies(X2,X3)),
inference(orient,[status(thm)],[t12863]) ).
cnf(t496,plain,
implies(X1,implies(not(X2),X3)) = implies(implies(implies(X1,implies(not(X3),X2)),X3),X3),
inference(cp,[status(thm)],[t377,t469]) ).
cnf(t168,plain,
truth = implies(truth,implies(not(X1),implies(X1,X2))),
inference(cp,[status(thm)],[t167,t5]) ).
cnf(t12838,plain,
truth = implies(not(X1),implies(X1,X2)),
inference(step,[status(thm)],[t168,t4]) ).
cnf(t187,plain,
implies(not(X1),implies(X1,X2)) = truth,
inference(orient,[status(thm)],[t12838]) ).
cnf(t237,plain,
truth = implies(X1,implies(not(X1),X2)),
inference(cp,[status(thm)],[t187,t233]) ).
cnf(t252,plain,
implies(X1,implies(not(X1),X2)) = truth,
inference(orient,[status(thm)],[t237]) ).
cnf(t253,plain,
implies(implies(implies(not(X1),X2),X1),X1) = implies(truth,implies(not(X1),X2)),
inference(cp,[status(thm)],[t10,t252]) ).
cnf(t12855,plain,
implies(implies(implies(not(X1),X2),X1),X1) = implies(not(X1),X2),
inference(step,[status(thm)],[t253,t4]) ).
cnf(t271,plain,
implies(implies(implies(not(X1),X2),X1),X1) = implies(not(X1),X2),
inference(orient,[status(thm)],[t12855]) ).
cnf(t278,plain,
truth = implies(X1,implies(X2,implies(not(X1),X3))),
inference(cp,[status(thm)],[t194,t271]) ).
cnf(t294,plain,
implies(X1,implies(X2,implies(not(X1),X3))) = truth,
inference(orient,[status(thm)],[t278]) ).
cnf(t297,plain,
implies(implies(implies(X1,implies(not(X2),X3)),X2),X2) = implies(truth,implies(X1,implies(not(X2),X3))),
inference(cp,[status(thm)],[t10,t294]) ).
cnf(t12894,plain,
implies(implies(implies(X1,implies(not(X2),X3)),X2),X2) = implies(X1,implies(not(X2),X3)),
inference(step,[status(thm)],[t297,t4]) ).
cnf(t1477,plain,
implies(implies(implies(X1,implies(not(X2),X3)),X2),X2) = implies(X1,implies(not(X2),X3)),
inference(orient,[status(thm)],[t12894]) ).
cnf(t12903,plain,
implies(X1,implies(not(X2),X3)) = implies(X1,implies(not(X3),X2)),
inference(step,[status(thm)],[t496,t1477]) ).
cnf(t1995,plain,
implies(X1,implies(not(X2),X3)) = implies(X1,implies(not(X3),X2)),
inference(orient,[status(thm)],[t12903]) ).
cnf(t13038,plain,
implies(X1,implies(not(X2),not(implies(X2,X1)))) = implies(X1,implies(implies(not(implies(X2,X1)),X2),X2)),
inference(step,[status(thm)],[t12542,t1995]) ).
cnf(t13039,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,implies(implies(not(implies(X2,X1)),X2),X2)),
inference(step,[status(thm)],[t13038,t421]) ).
cnf(t13040,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,implies(implies(X2,implies(not(X2),X1)),X2)),
inference(step,[status(thm)],[t13039,t10898]) ).
cnf(t13041,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,implies(truth,X2)),
inference(step,[status(thm)],[t13040,t252]) ).
cnf(t13042,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,X2),
inference(step,[status(thm)],[t13041,t4]) ).
cnf(t12722,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,X2),
inference(orient,[status(thm)],[t13042]) ).
cnf(goal_0,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
implies(implies(implies(b,a),implies(a,b)),implies(a,b)) != truth,
inference(rw,[status(thm)],[goal_0,t10]) ).
cnf(g0_1,plain,
implies(a,implies(implies(implies(b,a),implies(a,b)),b)) != truth,
inference(rw,[status(thm)],[g0_0,t10536]) ).
cnf(g0_2,plain,
implies(a,implies(implies(a,implies(implies(b,a),b)),b)) != truth,
inference(rw,[status(thm)],[g0_1,t10536]) ).
cnf(g0_3,plain,
implies(a,implies(implies(a,b),b)) != truth,
inference(rw,[status(thm)],[g0_2,t12722]) ).
cnf(g0_4,plain,
truth != truth,
inference(rw,[status(thm)],[g0_3,t110]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.59 % Computer : n020.cluster.edu
% 0.11/0.59 % Model : x86_64 x86_64
% 0.11/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.59 % Memory : 8046.5625MB
% 0.11/0.59 % OS : Linux 6.8.0-71-generic
% 0.11/0.59 % CPULimit : 300
% 0.11/0.59 % WCLimit : 300
% 0.11/0.59 % DateTime : Wed Sep 23 21:57:49 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.19/5.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.19/5.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------