%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 01:55:00 PM UTC 2026
% Result : Unsatisfiable 5.91s 6.39s
% Output : CNFRefutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of clauses : 73 ( 73 unt; 0 nHn; 5 RR)
% Number of literals : 73 ( 72 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 187 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t6,axiom,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t3,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t21,plain,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X3,X1)),
inference(cp,[status(thm)],[t17,t11]) ).
cnf(t112,plain,
join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t21]) ).
cnf(t5,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t5]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t15,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(cp,[status(thm)],[t12,t9]) ).
cnf(t53,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t15]) ).
cnf(t56,plain,
meet(X1,X2) = meet(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t53,t11]) ).
cnf(t64,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t56]) ).
cnf(t67,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))),
inference(cp,[status(thm)],[t64,t12]) ).
cnf(t214,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t67]) ).
cnf(t227,plain,
meet(X1,join(meet(X2,meet(X3,X1)),Y3)) = join(meet(X1,meet(X2,X3)),meet(Y3,X1)),
inference(cp,[status(thm)],[t112,t214]) ).
cnf(t7283,plain,
meet(X1,join(meet(X2,meet(X3,X1)),Y3)) = meet(X1,join(meet(X2,X3),Y3)),
inference(step,[status(thm)],[t227,t112]) ).
cnf(t6374,plain,
meet(X1,join(meet(X2,meet(X3,X1)),Y3)) = meet(X1,join(meet(X2,X3),Y3)),
inference(orient,[status(thm)],[t7283]) ).
cnf(t8,axiom,
meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7209,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t8,t11]) ).
cnf(t28,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7209]) ).
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t40,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t43,plain,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(meet(X2,X3),X1)),
inference(cp,[status(thm)],[t28,t40]) ).
cnf(t1507,plain,
meet(join(X1,X2),join(meet(X2,X3),X1)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t43]) ).
cnf(t6377,plain,
meet(join(X1,X2),join(meet(X2,X3),X1)) = join(X1,meet(X2,meet(X3,join(X1,X2)))),
inference(cp,[status(thm)],[t6374,t1507]) ).
cnf(t7284,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X2,meet(X3,join(X1,X2)))),
inference(step,[status(thm)],[t6377,t1507]) ).
cnf(t6545,plain,
join(X1,meet(X2,meet(X3,join(X1,X2)))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7284]) ).
cnf(t42,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))),
inference(cp,[status(thm)],[t28,t40]) ).
cnf(t1378,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t42]) ).
cnf(t1414,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(meet(X2,X3),X1)),
inference(cp,[status(thm)],[t1378,t40]) ).
cnf(t2874,plain,
meet(join(X1,X2),join(meet(X1,X3),X2)) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t1414]) ).
cnf(t6568,plain,
join(meet(X1,X2),meet(X3,join(X1,X3))) = join(meet(X1,X2),meet(X3,join(X3,meet(X1,X2)))),
inference(cp,[status(thm)],[t6545,t2874]) ).
cnf(t35,plain,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X3,X2))),
inference(cp,[status(thm)],[t28,t11]) ).
cnf(t1074,plain,
meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t35]) ).
cnf(t4,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t45,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t4]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t48,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t45,t10]) ).
cnf(t59,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t48]) ).
cnf(t1082,plain,
join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))),
inference(cp,[status(thm)],[t1074,t59]) ).
cnf(t70,plain,
meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X2),meet(X1,X3)),
inference(cp,[status(thm)],[t17,t64]) ).
cnf(t7217,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t70,t17]) ).
cnf(t290,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t7217]) ).
cnf(t7229,plain,
join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)),
inference(step,[status(thm)],[t1082,t290]) ).
cnf(t1151,plain,
join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)),
inference(orient,[status(thm)],[t7229]) ).
cnf(t1168,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,join(X1,X2))),
inference(cp,[status(thm)],[t1151,t11]) ).
cnf(t1205,plain,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X3),join(X1,X2)),
inference(orient,[status(thm)],[t1168]) ).
cnf(t1228,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,join(X2,X1))),
inference(cp,[status(thm)],[t1205,t40]) ).
cnf(t1320,plain,
join(X1,meet(X2,join(X3,X1))) = meet(join(X1,X3),join(X1,X2)),
inference(orient,[status(thm)],[t1228]) ).
cnf(t7286,plain,
join(meet(X1,X2),meet(X3,join(X1,X3))) = meet(join(meet(X1,X2),X3),join(meet(X1,X2),X3)),
inference(step,[status(thm)],[t6568,t1320]) ).
cnf(t7287,plain,
join(meet(X1,X2),meet(X3,join(X1,X3))) = join(meet(X1,X2),X3),
inference(step,[status(thm)],[t7286,t9]) ).
cnf(t6915,plain,
join(meet(X1,X2),meet(X3,join(X1,X3))) = join(meet(X1,X2),X3),
inference(orient,[status(thm)],[t7287]) ).
cnf(t6923,plain,
join(meet(X1,X2),X3) = join(meet(X3,join(X1,X3)),meet(X1,X2)),
inference(cp,[status(thm)],[t6915,t40]) ).
cnf(t18,plain,
meet(X1,join(X1,X2)) = join(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t76,plain,
join(X1,meet(X1,X2)) = meet(X1,join(X1,X2)),
inference(orient,[status(thm)],[t18]) ).
cnf(t83,plain,
join(X1,join(meet(X1,X2),X3)) = join(meet(X1,join(X1,X2)),X3),
inference(cp,[status(thm)],[t45,t76]) ).
cnf(t443,plain,
join(meet(X1,join(X1,X2)),X3) = join(X1,join(meet(X1,X2),X3)),
inference(orient,[status(thm)],[t83]) ).
cnf(t463,plain,
join(X1,join(meet(X1,X2),X3)) = join(meet(X1,join(X2,X1)),X3),
inference(cp,[status(thm)],[t443,t40]) ).
cnf(t514,plain,
join(meet(X1,join(X2,X1)),X3) = join(X1,join(meet(X1,X2),X3)),
inference(orient,[status(thm)],[t463]) ).
cnf(t7288,plain,
join(meet(X1,X2),X3) = join(X3,join(meet(X3,X1),meet(X1,X2))),
inference(step,[status(thm)],[t6923,t514]) ).
cnf(t19,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)),
inference(cp,[status(thm)],[t17,t11]) ).
cnf(t96,plain,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t19]) ).
cnf(t7289,plain,
join(meet(X1,X2),X3) = join(X3,meet(X1,join(X3,X2))),
inference(step,[status(thm)],[t7288,t96]) ).
cnf(t7290,plain,
join(meet(X1,X2),X3) = meet(join(X3,X2),join(X3,X1)),
inference(step,[status(thm)],[t7289,t1205]) ).
cnf(t7039,plain,
meet(join(X1,X2),join(X1,X3)) = join(meet(X3,X2),X1),
inference(orient,[status(thm)],[t7290]) ).
cnf(goal_0,negated_conjecture,
meet(join(a,b),join(a,c)) != join(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(meet(c,b),a) != join(a,meet(b,c)),
inference(rw,[status(thm)],[goal_0,t7039]) ).
cnf(g0_1,plain,
join(a,meet(c,b)) != join(a,meet(b,c)),
inference(rw,[status(thm)],[g0_0,t40]) ).
cnf(g0_2,plain,
join(a,meet(c,b)) != join(a,meet(c,b)),
inference(rw,[status(thm)],[g0_1,t11]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n009.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 20:01:51 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.91/6.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.91/6.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------