%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 5.75s 1.36s
% Output : CNFRefutation 5.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 36 RR)
% Number of literals : 58 ( 57 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
sFlat0 = meet(b,a),
introduced(definition) ).
cnf(t30,plain,
meet(b,a) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sFlat1 = meet(a,b),
introduced(definition) ).
cnf(t26,plain,
meet(a,b) = sFlat1,
inference(orient,[status(thm)],[t5]) ).
cnf(t3,axiom,
meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
join(X1,meet(X2,meet(X1,X3))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t1,axiom,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t11,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t9,t6]) ).
cnf(t74,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t77,plain,
b = join(b,sFlat1),
inference(cp,[status(thm)],[t74,t26]) ).
cnf(t86,plain,
join(b,sFlat1) = b,
inference(orient,[status(thm)],[t77]) ).
cnf(t89,plain,
sFlat1 = meet(meet(b,join(sFlat1,X1)),sFlat1),
inference(cp,[status(thm)],[t7,t86]) ).
cnf(t1012,plain,
meet(meet(b,join(sFlat1,X1)),sFlat1) = sFlat1,
inference(orient,[status(thm)],[t89]) ).
cnf(t2,axiom,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t17,plain,
X1 = join(meet(X2,X1),X1),
inference(cp,[status(thm)],[t16,t9]) ).
cnf(t119,plain,
join(meet(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t17]) ).
cnf(t13,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t6,t9]) ).
cnf(t96,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t13]) ).
cnf(t10,plain,
X1 = join(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t9,t7]) ).
cnf(t46,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(t51,plain,
a = join(a,sFlat1),
inference(cp,[status(thm)],[t46,t26]) ).
cnf(t64,plain,
join(a,sFlat1) = a,
inference(orient,[status(thm)],[t51]) ).
cnf(t100,plain,
sFlat1 = meet(sFlat1,a),
inference(cp,[status(thm)],[t96,t64]) ).
cnf(t107,plain,
meet(sFlat1,a) = sFlat1,
inference(orient,[status(thm)],[t100]) ).
cnf(t124,plain,
a = join(sFlat1,a),
inference(cp,[status(thm)],[t119,t107]) ).
cnf(t140,plain,
join(sFlat1,a) = a,
inference(orient,[status(thm)],[t124]) ).
cnf(t1015,plain,
sFlat1 = meet(meet(b,a),sFlat1),
inference(cp,[status(thm)],[t1012,t140]) ).
cnf(t1051,plain,
sFlat1 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t1015,t30]) ).
cnf(t99,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(cp,[status(thm)],[t96,t46]) ).
cnf(t219,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(orient,[status(thm)],[t99]) ).
cnf(t76,plain,
a = join(a,sFlat0),
inference(cp,[status(thm)],[t74,t30]) ).
cnf(t82,plain,
join(a,sFlat0) = a,
inference(orient,[status(thm)],[t76]) ).
cnf(t85,plain,
sFlat0 = meet(meet(a,join(sFlat0,X1)),sFlat0),
inference(cp,[status(thm)],[t7,t82]) ).
cnf(t861,plain,
meet(meet(a,join(sFlat0,X1)),sFlat0) = sFlat0,
inference(orient,[status(thm)],[t85]) ).
cnf(t50,plain,
b = join(b,sFlat0),
inference(cp,[status(thm)],[t46,t30]) ).
cnf(t60,plain,
join(b,sFlat0) = b,
inference(orient,[status(thm)],[t50]) ).
cnf(t102,plain,
sFlat0 = meet(sFlat0,b),
inference(cp,[status(thm)],[t96,t60]) ).
cnf(t113,plain,
meet(sFlat0,b) = sFlat0,
inference(orient,[status(thm)],[t102]) ).
cnf(t123,plain,
b = join(sFlat0,b),
inference(cp,[status(thm)],[t119,t113]) ).
cnf(t136,plain,
join(sFlat0,b) = b,
inference(orient,[status(thm)],[t123]) ).
cnf(t864,plain,
sFlat0 = meet(meet(a,b),sFlat0),
inference(cp,[status(thm)],[t861,t136]) ).
cnf(t1045,plain,
sFlat0 = meet(sFlat1,sFlat0),
inference(step,[status(thm)],[t864,t26]) ).
cnf(t874,plain,
meet(sFlat1,sFlat0) = sFlat0,
inference(orient,[status(thm)],[t1045]) ).
cnf(t876,plain,
meet(sFlat1,sFlat0) = meet(sFlat0,sFlat1),
inference(cp,[status(thm)],[t219,t874]) ).
cnf(t1046,plain,
sFlat0 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t876,t874]) ).
cnf(t889,plain,
meet(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t1046]) ).
cnf(t1052,plain,
sFlat1 = sFlat0,
inference(step,[status(thm)],[t1051,t889]) ).
cnf(t1025,plain,
sFlat1 = sFlat0,
inference(orient,[status(thm)],[t1052]) ).
cnf(t1053,plain,
meet(a,b) = sFlat0,
inference(step,[status(thm)],[t26,t1025]) ).
cnf(t1026,plain,
meet(a,b) = sFlat0,
inference(orient,[status(thm)],[t1053]) ).
cnf(goal_0,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
sFlat0 != meet(a,b),
inference(rw,[status(thm)],[goal_0,t30]) ).
cnf(g0_1,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_0,t1026]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 20:00:48 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.75/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.75/1.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------