%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 01:55:02 PM UTC 2026
% Result : Unsatisfiable 7.26s 1.45s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of clauses : 95 ( 95 unt; 0 nHn; 40 RR)
% Number of literals : 95 ( 94 equ; 5 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 122 ( 66 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,axiom,
meet2(X1,X2) = meet2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t53,plain,
meet2(X1,X2) = meet2(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t10,axiom,
sFlat0 = meet2(a,b),
introduced(definition) ).
cnf(t2119,plain,
sFlat0 = meet2(b,a),
inference(step,[status(thm)],[t10,t53]) ).
cnf(t55,plain,
meet2(b,a) = sFlat0,
inference(orient,[status(thm)],[t2119]) ).
cnf(t4,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t50,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t11,axiom,
sFlat1 = meet(a,b),
introduced(definition) ).
cnf(t2118,plain,
sFlat1 = meet(b,a),
inference(step,[status(thm)],[t11,t50]) ).
cnf(t52,plain,
meet(b,a) = sFlat1,
inference(orient,[status(thm)],[t2118]) ).
cnf(t9,axiom,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t33,plain,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t9]) ).
cnf(t54,plain,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
inference(rw,[status(thm)],[t33]) ).
cnf(t2136,plain,
meet2(X2,meet2(join(X1,X2),join(X3,X2))) = X2,
inference(step,[status(thm)],[t54,t53]) ).
cnf(t293,plain,
meet2(X1,meet2(join(X2,X1),join(X3,X1))) = X1,
inference(orient,[status(thm)],[t2136]) ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t43,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t322,plain,
X1 = meet2(X1,meet2(join(X1,X2),join(X3,X1))),
inference(cp,[status(thm)],[t293,t43]) ).
cnf(t1792,plain,
meet2(X1,meet2(join(X1,X2),join(X3,X1))) = X1,
inference(orient,[status(thm)],[t322]) ).
cnf(t6,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t6]) ).
cnf(t48,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(rw,[status(thm)],[t13]) ).
cnf(t2120,plain,
join(X2,join(meet(X1,X2),meet(X3,X2))) = X2,
inference(step,[status(thm)],[t48,t43]) ).
cnf(t56,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(orient,[status(thm)],[t2120]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t57,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t56,t12]) ).
cnf(t64,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t57]) ).
cnf(t65,plain,
a = join(a,sFlat1),
inference(cp,[status(thm)],[t64,t52]) ).
cnf(t2121,plain,
a = join(sFlat1,a),
inference(step,[status(thm)],[t65,t43]) ).
cnf(t67,plain,
join(sFlat1,a) = a,
inference(orient,[status(thm)],[t2121]) ).
cnf(t1807,plain,
sFlat1 = meet2(sFlat1,meet2(a,join(X1,sFlat1))),
inference(cp,[status(thm)],[t1792,t67]) ).
cnf(t1944,plain,
meet2(sFlat1,meet2(a,join(X1,sFlat1))) = sFlat1,
inference(orient,[status(thm)],[t1807]) ).
cnf(t1947,plain,
sFlat1 = meet2(sFlat1,meet2(a,join(sFlat1,X1))),
inference(cp,[status(thm)],[t1944,t43]) ).
cnf(t2086,plain,
meet2(sFlat1,meet2(a,join(sFlat1,X1))) = sFlat1,
inference(orient,[status(thm)],[t1947]) ).
cnf(t66,plain,
X1 = join(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t64,t50]) ).
cnf(t68,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t66]) ).
cnf(t69,plain,
b = join(b,sFlat1),
inference(cp,[status(thm)],[t68,t52]) ).
cnf(t2122,plain,
b = join(sFlat1,b),
inference(step,[status(thm)],[t69,t43]) ).
cnf(t70,plain,
join(sFlat1,b) = b,
inference(orient,[status(thm)],[t2122]) ).
cnf(t2093,plain,
sFlat1 = meet2(sFlat1,meet2(a,b)),
inference(cp,[status(thm)],[t2086,t70]) ).
cnf(t2234,plain,
sFlat1 = meet2(sFlat1,meet2(b,a)),
inference(step,[status(thm)],[t2093,t53]) ).
cnf(t2235,plain,
sFlat1 = meet2(sFlat1,sFlat0),
inference(step,[status(thm)],[t2234,t55]) ).
cnf(t2236,plain,
sFlat1 = meet2(sFlat0,sFlat1),
inference(step,[status(thm)],[t2235,t53]) ).
cnf(t2,axiom,
meet2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t30,plain,
meet2(X1,X1) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t294,plain,
X1 = meet2(X1,join(X2,X1)),
inference(cp,[status(thm)],[t293,t30]) ).
cnf(t355,plain,
meet2(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t294]) ).
cnf(t358,plain,
meet(X1,X2) = meet2(meet(X1,X2),X2),
inference(cp,[status(thm)],[t355,t64]) ).
cnf(t2139,plain,
meet(X1,X2) = meet2(X2,meet(X1,X2)),
inference(step,[status(thm)],[t358,t53]) ).
cnf(t426,plain,
meet2(X1,meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t2139]) ).
cnf(t8,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t20,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(t51,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(rw,[status(thm)],[t20]) ).
cnf(t2126,plain,
meet(X2,meet(join(X1,X2),join(X3,X2))) = X2,
inference(step,[status(thm)],[t51,t50]) ).
cnf(t98,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(orient,[status(thm)],[t2126]) ).
cnf(t115,plain,
X1 = meet(X1,meet(join(X1,X2),join(X3,X1))),
inference(cp,[status(thm)],[t98,t43]) ).
cnf(t988,plain,
meet(X1,meet(join(X1,X2),join(X3,X1))) = X1,
inference(orient,[status(thm)],[t115]) ).
cnf(t7,axiom,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t7]) ).
cnf(t49,plain,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
inference(rw,[status(thm)],[t15]) ).
cnf(t2123,plain,
join(X2,join(meet2(X1,X2),meet2(X3,X2))) = X2,
inference(step,[status(thm)],[t49,t43]) ).
cnf(t77,plain,
join(X1,join(meet2(X2,X1),meet2(X3,X1))) = X1,
inference(orient,[status(thm)],[t2123]) ).
cnf(t78,plain,
X1 = join(X1,meet2(X2,X1)),
inference(cp,[status(thm)],[t77,t12]) ).
cnf(t85,plain,
join(X1,meet2(X2,X1)) = X1,
inference(orient,[status(thm)],[t78]) ).
cnf(t86,plain,
a = join(a,sFlat0),
inference(cp,[status(thm)],[t85,t55]) ).
cnf(t2124,plain,
a = join(sFlat0,a),
inference(step,[status(thm)],[t86,t43]) ).
cnf(t88,plain,
join(sFlat0,a) = a,
inference(orient,[status(thm)],[t2124]) ).
cnf(t990,plain,
sFlat0 = meet(sFlat0,meet(a,join(X1,sFlat0))),
inference(cp,[status(thm)],[t988,t88]) ).
cnf(t1038,plain,
meet(sFlat0,meet(a,join(X1,sFlat0))) = sFlat0,
inference(orient,[status(thm)],[t990]) ).
cnf(t1040,plain,
sFlat0 = meet(sFlat0,meet(a,join(sFlat0,X1))),
inference(cp,[status(thm)],[t1038,t43]) ).
cnf(t1082,plain,
meet(sFlat0,meet(a,join(sFlat0,X1))) = sFlat0,
inference(orient,[status(thm)],[t1040]) ).
cnf(t87,plain,
X1 = join(X1,meet2(X1,X2)),
inference(cp,[status(thm)],[t85,t53]) ).
cnf(t89,plain,
join(X1,meet2(X1,X2)) = X1,
inference(orient,[status(thm)],[t87]) ).
cnf(t90,plain,
b = join(b,sFlat0),
inference(cp,[status(thm)],[t89,t55]) ).
cnf(t2125,plain,
b = join(sFlat0,b),
inference(step,[status(thm)],[t90,t43]) ).
cnf(t91,plain,
join(sFlat0,b) = b,
inference(orient,[status(thm)],[t2125]) ).
cnf(t1083,plain,
sFlat0 = meet(sFlat0,meet(a,b)),
inference(cp,[status(thm)],[t1082,t91]) ).
cnf(t2175,plain,
sFlat0 = meet(sFlat0,meet(b,a)),
inference(step,[status(thm)],[t1083,t50]) ).
cnf(t2176,plain,
sFlat0 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t2175,t52]) ).
cnf(t1103,plain,
meet(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t2176]) ).
cnf(t1105,plain,
meet(sFlat0,sFlat1) = meet2(sFlat1,sFlat0),
inference(cp,[status(thm)],[t426,t1103]) ).
cnf(t2188,plain,
sFlat0 = meet2(sFlat1,sFlat0),
inference(step,[status(thm)],[t1105,t1103]) ).
cnf(t2189,plain,
sFlat0 = meet2(sFlat0,sFlat1),
inference(step,[status(thm)],[t2188,t53]) ).
cnf(t1127,plain,
meet2(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t2189]) ).
cnf(t2237,plain,
sFlat1 = sFlat0,
inference(step,[status(thm)],[t2236,t1127]) ).
cnf(t2115,plain,
sFlat1 = sFlat0,
inference(orient,[status(thm)],[t2237]) ).
cnf(t2238,plain,
meet(b,a) = sFlat0,
inference(step,[status(thm)],[t52,t2115]) ).
cnf(t2116,plain,
meet(b,a) = sFlat0,
inference(orient,[status(thm)],[t2238]) ).
cnf(goal_0,negated_conjecture,
meet2(a,b) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet2(b,a) != meet(a,b),
inference(rw,[status(thm)],[goal_0,t53]) ).
cnf(g0_1,plain,
sFlat0 != meet(a,b),
inference(rw,[status(thm)],[g0_0,t55]) ).
cnf(g0_2,plain,
sFlat0 != meet(b,a),
inference(rw,[status(thm)],[g0_1,t50]) ).
cnf(g0_3,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_2,t2116]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 20:03:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.26/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.26/1.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------