%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 01:55:30 PM UTC 2026
% Result : Unsatisfiable 8.09s 6.98s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 6
% Syntax : Number of clauses : 100 ( 100 unt; 0 nHn; 3 RR)
% Number of literals : 100 ( 99 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 190 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t2,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t1,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t28,plain,
X1 = meet(meet(join(X1,X2),X1),X1),
inference(cp,[status(thm)],[t5,t24]) ).
cnf(t42,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t48,plain,
meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t42,t11]) ).
cnf(t109,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t48]) ).
cnf(t3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t47,plain,
meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t42,t6]) ).
cnf(t58,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t47]) ).
cnf(t59,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(cp,[status(thm)],[t58,t5]) ).
cnf(t1576,plain,
X1 = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(step,[status(thm)],[t59,t5]) ).
cnf(t1577,plain,
X1 = meet(meet(X1,X1),X1),
inference(step,[status(thm)],[t1576,t5]) ).
cnf(t69,plain,
meet(meet(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t1577]) ).
cnf(t73,plain,
X1 = join(X1,meet(X1,join(meet(X1,X1),X1))),
inference(cp,[status(thm)],[t6,t69]) ).
cnf(t74,plain,
join(X1,meet(X1,join(meet(X1,X1),X1))) = X1,
inference(orient,[status(thm)],[t73]) ).
cnf(t75,plain,
X1 = meet(meet(X1,join(X2,X1)),X1),
inference(cp,[status(thm)],[t5,t74]) ).
cnf(t79,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t75]) ).
cnf(t112,plain,
meet(meet(X1,join(X2,X1)),X1) = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(cp,[status(thm)],[t109,t79]) ).
cnf(t1580,plain,
X1 = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t112,t79]) ).
cnf(t1581,plain,
X1 = meet(X1,meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t1580,t79]) ).
cnf(t1582,plain,
X1 = meet(X1,X1),
inference(step,[status(thm)],[t1581,t79]) ).
cnf(t129,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1582]) ).
cnf(t1584,plain,
join(X1,meet(X2,join(X1,X1))) = X1,
inference(step,[status(thm)],[t18,t129]) ).
cnf(t136,plain,
join(X1,meet(X2,join(X1,X1))) = X1,
inference(rw,[status(thm)],[t1584]) ).
cnf(t26,plain,
X1 = join(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t24,t5]) ).
cnf(t36,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t26]) ).
cnf(t131,plain,
X1 = join(join(X1,X1),X1),
inference(cp,[status(thm)],[t36,t129]) ).
cnf(t143,plain,
join(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t131]) ).
cnf(t146,plain,
X1 = join(meet(join(X1,X1),X1),meet(X1,X1)),
inference(cp,[status(thm)],[t6,t143]) ).
cnf(t130,plain,
X1 = meet(join(X1,X1),X1),
inference(cp,[status(thm)],[t5,t129]) ).
cnf(t138,plain,
meet(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t130]) ).
cnf(t1586,plain,
X1 = join(X1,meet(X1,X1)),
inference(step,[status(thm)],[t146,t138]) ).
cnf(t1587,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t1586,t129]) ).
cnf(t147,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t1587]) ).
cnf(t1588,plain,
join(X1,meet(X2,X1)) = X1,
inference(step,[status(thm)],[t136,t147]) ).
cnf(t153,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t1588]) ).
cnf(t157,plain,
X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)),
inference(cp,[status(thm)],[t11,t153]) ).
cnf(t1589,plain,
X1 = join(meet(X1,meet(X2,X1)),X1),
inference(step,[status(thm)],[t157,t129]) ).
cnf(t159,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t1589]) ).
cnf(t161,plain,
meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)),
inference(cp,[status(thm)],[t11,t159]) ).
cnf(t1590,plain,
meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1),
inference(step,[status(thm)],[t161,t147]) ).
cnf(t163,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(orient,[status(thm)],[t1590]) ).
cnf(t156,plain,
meet(X1,X2) = meet(meet(meet(X1,X2),X2),meet(X1,X2)),
inference(cp,[status(thm)],[t79,t153]) ).
cnf(t185,plain,
meet(meet(meet(X1,X2),X2),meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t156]) ).
cnf(t188,plain,
meet(join(X1,X2),X1) = meet(X1,meet(join(X1,X2),X1)),
inference(cp,[status(thm)],[t185,t42]) ).
cnf(t193,plain,
meet(X1,meet(join(X1,X2),X1)) = meet(join(X1,X2),X1),
inference(orient,[status(thm)],[t188]) ).
cnf(t200,plain,
meet(X1,meet(join(X1,X2),X1)) = meet(meet(join(X1,X2),X1),X1),
inference(cp,[status(thm)],[t163,t193]) ).
cnf(t1591,plain,
meet(join(X1,X2),X1) = meet(meet(join(X1,X2),X1),X1),
inference(step,[status(thm)],[t200,t193]) ).
cnf(t1592,plain,
meet(join(X1,X2),X1) = X1,
inference(step,[status(thm)],[t1591,t42]) ).
cnf(t206,plain,
meet(join(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t1592]) ).
cnf(t211,plain,
meet(X1,X2) = meet(X2,meet(X1,X2)),
inference(cp,[status(thm)],[t206,t6]) ).
cnf(t217,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t211]) ).
cnf(t220,plain,
X1 = join(meet(X2,X1),meet(X1,join(X1,meet(X2,X1)))),
inference(cp,[status(thm)],[t11,t217]) ).
cnf(t1598,plain,
X1 = join(meet(X2,X1),meet(X1,X1)),
inference(step,[status(thm)],[t220,t153]) ).
cnf(t1599,plain,
X1 = join(meet(X2,X1),X1),
inference(step,[status(thm)],[t1598,t129]) ).
cnf(t225,plain,
join(meet(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t1599]) ).
cnf(t210,plain,
join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)),
inference(cp,[status(thm)],[t206,t36]) ).
cnf(t232,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(orient,[status(thm)],[t210]) ).
cnf(t236,plain,
X1 = meet(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t79,t232]) ).
cnf(t241,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t236]) ).
cnf(t249,plain,
join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),join(join(meet(X1,X2),X1),X1))),
inference(cp,[status(thm)],[t11,t241]) ).
cnf(t1600,plain,
join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),X1)),
inference(step,[status(thm)],[t249,t36]) ).
cnf(t1601,plain,
join(meet(X1,X2),X1) = join(X1,X1),
inference(step,[status(thm)],[t1600,t241]) ).
cnf(t1602,plain,
join(meet(X1,X2),X1) = X1,
inference(step,[status(thm)],[t1601,t147]) ).
cnf(t250,plain,
join(meet(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t1602]) ).
cnf(t251,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(cp,[status(thm)],[t250,t206]) ).
cnf(t256,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t251]) ).
cnf(t257,plain,
X1 = join(meet(X1,join(X1,X2)),meet(X1,join(X1,X2))),
inference(cp,[status(thm)],[t11,t256]) ).
cnf(t1603,plain,
X1 = meet(X1,join(X1,X2)),
inference(step,[status(thm)],[t257,t147]) ).
cnf(t258,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t1603]) ).
cnf(t260,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(cp,[status(thm)],[t258,t250]) ).
cnf(t263,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(orient,[status(thm)],[t260]) ).
cnf(t1604,plain,
meet(X1,join(X2,X1)) = X1,
inference(step,[status(thm)],[t79,t263]) ).
cnf(t267,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[t1604]) ).
cnf(t273,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t267]) ).
cnf(t275,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(cp,[status(thm)],[t225,t273]) ).
cnf(t286,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(orient,[status(thm)],[t275]) ).
cnf(t287,plain,
X1 = meet(meet(join(X2,X1),join(X3,X1)),X1),
inference(cp,[status(thm)],[t5,t286]) ).
cnf(t403,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t287]) ).
cnf(t405,plain,
meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)),
inference(cp,[status(thm)],[t403,t153]) ).
cnf(t1462,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(orient,[status(thm)],[t405]) ).
cnf(t265,plain,
X1 = join(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t153,t263]) ).
cnf(t268,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t265]) ).
cnf(t1463,plain,
meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)),
inference(cp,[status(thm)],[t1462,t268]) ).
cnf(t1513,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t1463]) ).
cnf(t1516,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(meet(meet(X2,X1),meet(X1,X2)),meet(X2,X1)),
inference(cp,[status(thm)],[t1513,t1513]) ).
cnf(t1620,plain,
meet(X2,X1) = meet(meet(meet(X2,X1),meet(X1,X2)),meet(X2,X1)),
inference(step,[status(thm)],[t1516,t1513]) ).
cnf(t1621,plain,
meet(X2,X1) = meet(meet(X2,X1),meet(X1,X2)),
inference(step,[status(thm)],[t1620,t263]) ).
cnf(t1622,plain,
meet(X2,X1) = meet(X1,X2),
inference(step,[status(thm)],[t1621,t1513]) ).
cnf(t1541,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t1622]) ).
cnf(goal_0,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(b,a) != meet(b,a),
inference(rw,[status(thm)],[goal_0,t1541]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/5.65 % Computer : n015.cluster.edu
% 0.18/5.65 % Model : x86_64 x86_64
% 0.18/5.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.65 % Memory : 8046.5625MB
% 0.18/5.65 % OS : Linux 6.8.0-71-generic
% 0.18/5.65 % CPULimit : 300
% 0.18/5.65 % WCLimit : 300
% 0.18/5.65 % DateTime : Wed Sep 23 20:16:15 UTC 2026
% 0.18/5.65 % CPUTime :
% 0.18/5.65 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.09/6.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.09/6.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------