%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 01:54:59 PM UTC 2026
% Result : Unsatisfiable 6.58s 1.46s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of clauses : 75 ( 75 unt; 0 nHn; 47 RR)
% Number of literals : 75 ( 74 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 56 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t8,axiom,
meet2(X1,X2) = meet2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t49,plain,
meet2(X1,X2) = meet2(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t13,axiom,
sFlat0 = meet2(a,b),
introduced(definition) ).
cnf(t308,plain,
sFlat0 = meet2(b,a),
inference(step,[status(thm)],[t13,t49]) ).
cnf(t59,plain,
meet2(b,a) = sFlat0,
inference(orient,[status(thm)],[t308]) ).
cnf(t6,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t36,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t6]) ).
cnf(t14,axiom,
sFlat1 = meet(a,b),
introduced(definition) ).
cnf(t307,plain,
sFlat1 = meet(b,a),
inference(step,[status(thm)],[t14,t36]) ).
cnf(t46,plain,
meet(b,a) = sFlat1,
inference(orient,[status(thm)],[t307]) ).
cnf(t11,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t38,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t7,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t5,axiom,
join(X1,meet2(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
join(X1,meet2(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t61,plain,
b = join(b,sFlat0),
inference(cp,[status(thm)],[t17,t59]) ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t310,plain,
b = join(sFlat0,b),
inference(step,[status(thm)],[t61,t22]) ).
cnf(t66,plain,
join(sFlat0,b) = b,
inference(orient,[status(thm)],[t310]) ).
cnf(t69,plain,
sFlat0 = meet(sFlat0,b),
inference(cp,[status(thm)],[t19,t66]) ).
cnf(t76,plain,
meet(sFlat0,b) = sFlat0,
inference(orient,[status(thm)],[t69]) ).
cnf(t77,plain,
meet(sFlat0,meet(b,X1)) = meet(sFlat0,X1),
inference(cp,[status(thm)],[t38,t76]) ).
cnf(t293,plain,
meet(sFlat0,meet(b,X1)) = meet(sFlat0,X1),
inference(orient,[status(thm)],[t77]) ).
cnf(t294,plain,
meet(sFlat0,a) = meet(sFlat0,sFlat1),
inference(cp,[status(thm)],[t293,t46]) ).
cnf(t50,plain,
X1 = join(X1,meet2(X2,X1)),
inference(cp,[status(thm)],[t17,t49]) ).
cnf(t108,plain,
join(X1,meet2(X2,X1)) = X1,
inference(orient,[status(thm)],[t50]) ).
cnf(t114,plain,
a = join(a,sFlat0),
inference(cp,[status(thm)],[t108,t59]) ).
cnf(t312,plain,
a = join(sFlat0,a),
inference(step,[status(thm)],[t114,t22]) ).
cnf(t118,plain,
join(sFlat0,a) = a,
inference(orient,[status(thm)],[t312]) ).
cnf(t121,plain,
sFlat0 = meet(sFlat0,a),
inference(cp,[status(thm)],[t19,t118]) ).
cnf(t125,plain,
meet(sFlat0,a) = sFlat0,
inference(orient,[status(thm)],[t121]) ).
cnf(t320,plain,
sFlat0 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t294,t125]) ).
cnf(t24,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t19,t22]) ).
cnf(t84,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t24]) ).
cnf(t12,axiom,
meet2(meet2(X1,X2),X3) = meet2(X1,meet2(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t51,plain,
meet2(meet2(X1,X2),X3) = meet2(X1,meet2(X2,X3)),
inference(orient,[status(thm)],[t12]) ).
cnf(t9,axiom,
meet2(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t21,plain,
meet2(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t4,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t47,plain,
b = join(b,sFlat1),
inference(cp,[status(thm)],[t16,t46]) ).
cnf(t309,plain,
b = join(sFlat1,b),
inference(step,[status(thm)],[t47,t22]) ).
cnf(t62,plain,
join(sFlat1,b) = b,
inference(orient,[status(thm)],[t309]) ).
cnf(t64,plain,
sFlat1 = meet2(sFlat1,b),
inference(cp,[status(thm)],[t21,t62]) ).
cnf(t70,plain,
meet2(sFlat1,b) = sFlat1,
inference(orient,[status(thm)],[t64]) ).
cnf(t71,plain,
meet2(sFlat1,meet2(b,X1)) = meet2(sFlat1,X1),
inference(cp,[status(thm)],[t51,t70]) ).
cnf(t268,plain,
meet2(sFlat1,meet2(b,X1)) = meet2(sFlat1,X1),
inference(orient,[status(thm)],[t71]) ).
cnf(t269,plain,
meet2(sFlat1,a) = meet2(sFlat1,sFlat0),
inference(cp,[status(thm)],[t268,t59]) ).
cnf(t37,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t16,t36]) ).
cnf(t90,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t37]) ).
cnf(t95,plain,
a = join(a,sFlat1),
inference(cp,[status(thm)],[t90,t46]) ).
cnf(t311,plain,
a = join(sFlat1,a),
inference(step,[status(thm)],[t95,t22]) ).
cnf(t99,plain,
join(sFlat1,a) = a,
inference(orient,[status(thm)],[t311]) ).
cnf(t101,plain,
sFlat1 = meet2(sFlat1,a),
inference(cp,[status(thm)],[t21,t99]) ).
cnf(t103,plain,
meet2(sFlat1,a) = sFlat1,
inference(orient,[status(thm)],[t101]) ).
cnf(t317,plain,
sFlat1 = meet2(sFlat1,sFlat0),
inference(step,[status(thm)],[t269,t103]) ).
cnf(t318,plain,
sFlat1 = meet2(sFlat0,sFlat1),
inference(step,[status(thm)],[t317,t49]) ).
cnf(t273,plain,
meet2(sFlat0,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t318]) ).
cnf(t276,plain,
sFlat0 = join(sFlat0,sFlat1),
inference(cp,[status(thm)],[t17,t273]) ).
cnf(t277,plain,
join(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t276]) ).
cnf(t278,plain,
sFlat1 = meet(sFlat1,sFlat0),
inference(cp,[status(thm)],[t84,t277]) ).
cnf(t319,plain,
sFlat1 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t278,t36]) ).
cnf(t282,plain,
meet(sFlat0,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t319]) ).
cnf(t321,plain,
sFlat0 = sFlat1,
inference(step,[status(thm)],[t320,t282]) ).
cnf(t298,plain,
sFlat1 = sFlat0,
inference(orient,[status(thm)],[t321]) ).
cnf(t322,plain,
meet(b,a) = sFlat0,
inference(step,[status(thm)],[t46,t298]) ).
cnf(t299,plain,
meet(b,a) = sFlat0,
inference(orient,[status(thm)],[t322]) ).
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,t49]) ).
cnf(g0_1,plain,
sFlat0 != meet(a,b),
inference(rw,[status(thm)],[g0_0,t59]) ).
cnf(g0_2,plain,
sFlat0 != meet(b,a),
inference(rw,[status(thm)],[g0_1,t36]) ).
cnf(g0_3,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_2,t299]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.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 20:01:04 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.58/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.58/1.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------