%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 01:55:04 PM UTC 2026
% Result : Unsatisfiable 5.79s 1.24s
% Output : CNFRefutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of clauses : 86 ( 86 unt; 0 nHn; 54 RR)
% Number of literals : 86 ( 85 equ; 23 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t16,axiom,
sFlat0 = f(cc,dd),
introduced(definition) ).
cnf(t96,plain,
f(cc,dd) = sFlat0,
inference(orient,[status(thm)],[t16]) ).
cnf(t17,axiom,
sFlat1 = f(aa,dd),
introduced(definition) ).
cnf(t90,plain,
f(aa,dd) = sFlat1,
inference(orient,[status(thm)],[t17]) ).
cnf(t7,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t8,axiom,
f(join(cc,bb),dd) = f(join(aa,bb),dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t22,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t1145,plain,
f(join(cc,bb),dd) = f(join(bb,aa),dd),
inference(step,[status(thm)],[t8,t22]) ).
cnf(t82,plain,
f(join(bb,aa),dd) = f(join(cc,bb),dd),
inference(orient,[status(thm)],[t1145]) ).
cnf(t12,axiom,
join(f(X1,X2),f(X3,X2)) = f(join(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t49,plain,
join(f(X1,X2),f(X3,X2)) = f(join(X1,X3),X2),
inference(orient,[status(thm)],[t12]) ).
cnf(t94,plain,
f(join(X1,aa),dd) = join(f(X1,dd),sFlat1),
inference(cp,[status(thm)],[t49,t90]) ).
cnf(t1152,plain,
f(join(X1,aa),dd) = join(sFlat1,f(X1,dd)),
inference(step,[status(thm)],[t94,t22]) ).
cnf(t198,plain,
f(join(X1,aa),dd) = join(sFlat1,f(X1,dd)),
inference(orient,[status(thm)],[t1152]) ).
cnf(t1153,plain,
join(sFlat1,f(bb,dd)) = f(join(cc,bb),dd),
inference(step,[status(thm)],[t82,t198]) ).
cnf(t205,plain,
join(sFlat1,f(bb,dd)) = f(join(cc,bb),dd),
inference(rw,[status(thm)],[t1153]) ).
cnf(t99,plain,
f(join(cc,X1),dd) = join(sFlat0,f(X1,dd)),
inference(cp,[status(thm)],[t49,t96]) ).
cnf(t222,plain,
f(join(cc,X1),dd) = join(sFlat0,f(X1,dd)),
inference(orient,[status(thm)],[t99]) ).
cnf(t1156,plain,
join(sFlat1,f(bb,dd)) = join(sFlat0,f(bb,dd)),
inference(step,[status(thm)],[t205,t222]) ).
cnf(t240,plain,
join(sFlat1,f(bb,dd)) = join(sFlat0,f(bb,dd)),
inference(orient,[status(thm)],[t1156]) ).
cnf(t246,plain,
sFlat1 = meet(sFlat1,join(sFlat0,f(bb,dd))),
inference(cp,[status(thm)],[t21,t240]) ).
cnf(t434,plain,
meet(sFlat1,join(sFlat0,f(bb,dd))) = sFlat1,
inference(orient,[status(thm)],[t246]) ).
cnf(t5,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t15,axiom,
meet(f(cc,dd),f(bb,dd)) = meet(f(aa,dd),f(bb,dd)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t61,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t6]) ).
cnf(t1144,plain,
meet(f(cc,dd),f(bb,dd)) = meet(f(bb,dd),f(aa,dd)),
inference(step,[status(thm)],[t15,t61]) ).
cnf(t74,plain,
meet(f(bb,dd),f(aa,dd)) = meet(f(cc,dd),f(bb,dd)),
inference(orient,[status(thm)],[t1144]) ).
cnf(t1146,plain,
meet(f(bb,dd),sFlat1) = meet(f(cc,dd),f(bb,dd)),
inference(step,[status(thm)],[t74,t90]) ).
cnf(t95,plain,
meet(f(bb,dd),sFlat1) = meet(f(cc,dd),f(bb,dd)),
inference(rw,[status(thm)],[t1146]) ).
cnf(t1181,plain,
meet(sFlat1,f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
inference(step,[status(thm)],[t95,t61]) ).
cnf(t1182,plain,
meet(sFlat1,f(bb,dd)) = meet(sFlat0,f(bb,dd)),
inference(step,[status(thm)],[t1181,t96]) ).
cnf(t976,plain,
meet(sFlat1,f(bb,dd)) = meet(sFlat0,f(bb,dd)),
inference(orient,[status(thm)],[t1182]) ).
cnf(t977,plain,
sFlat1 = join(sFlat1,meet(sFlat0,f(bb,dd))),
inference(cp,[status(thm)],[t19,t976]) ).
cnf(t990,plain,
join(sFlat1,meet(sFlat0,f(bb,dd))) = sFlat1,
inference(orient,[status(thm)],[t977]) ).
cnf(t14,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t32,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t14]) ).
cnf(t9,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t9]) ).
cnf(t2,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t28,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t24,t18]) ).
cnf(t119,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t28]) ).
cnf(t124,plain,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
inference(cp,[status(thm)],[t32,t119]) ).
cnf(t1184,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t124,t32]) ).
cnf(t1058,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t1184]) ).
cnf(t1062,plain,
join(sFlat0,meet(sFlat1,f(bb,dd))) = join(sFlat0,sFlat1),
inference(cp,[status(thm)],[t1058,t434]) ).
cnf(t1185,plain,
join(sFlat0,meet(sFlat0,f(bb,dd))) = join(sFlat0,sFlat1),
inference(step,[status(thm)],[t1062,t976]) ).
cnf(t1186,plain,
sFlat0 = join(sFlat0,sFlat1),
inference(step,[status(thm)],[t1185,t19]) ).
cnf(t1118,plain,
join(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t1186]) ).
cnf(t23,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t21,t22]) ).
cnf(t101,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t23]) ).
cnf(t1123,plain,
sFlat1 = meet(sFlat1,sFlat0),
inference(cp,[status(thm)],[t101,t1118]) ).
cnf(t1187,plain,
sFlat1 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t1123,t61]) ).
cnf(t1132,plain,
meet(sFlat0,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t1187]) ).
cnf(t13,axiom,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t39,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t13]) ).
cnf(t64,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)),
inference(cp,[status(thm)],[t39,t61]) ).
cnf(t876,plain,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t64]) ).
cnf(goal_0,negated_conjecture,
f(cc,dd) != f(aa,dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
f(cc,dd) != sFlat0,
inference(rw,[status(thm)],[goal_0,t96]) ).
cnf(g0_1,plain,
sFlat1 != sFlat0,
inference(rw,[status(thm)],[g0_0,t90]) ).
cnf(g0_2,plain,
meet(sFlat1,join(sFlat0,f(bb,dd))) != sFlat0,
inference(rw,[status(thm)],[g0_1,t434]) ).
cnf(g0_3,plain,
meet(sFlat1,join(f(bb,dd),sFlat0)) != sFlat0,
inference(rw,[status(thm)],[g0_2,t22]) ).
cnf(g0_4,plain,
meet(join(sFlat1,meet(sFlat0,f(bb,dd))),join(f(bb,dd),sFlat0)) != sFlat0,
inference(rw,[status(thm)],[g0_3,t990]) ).
cnf(g0_5,plain,
meet(join(meet(sFlat0,f(bb,dd)),sFlat1),join(f(bb,dd),sFlat0)) != sFlat0,
inference(rw,[status(thm)],[g0_4,t22]) ).
cnf(g0_6,plain,
meet(join(meet(join(sFlat0,sFlat1),f(bb,dd)),sFlat1),join(f(bb,dd),sFlat0)) != sFlat0,
inference(rw,[status(thm)],[g0_5,t1118]) ).
cnf(g0_7,plain,
meet(join(meet(join(sFlat1,sFlat0),f(bb,dd)),sFlat1),join(f(bb,dd),sFlat0)) != sFlat0,
inference(rw,[status(thm)],[g0_6,t22]) ).
cnf(g0_8,plain,
meet(join(meet(f(bb,dd),join(sFlat1,sFlat0)),sFlat1),join(f(bb,dd),sFlat0)) != sFlat0,
inference(rw,[status(thm)],[g0_7,t61]) ).
cnf(g0_9,plain,
meet(join(f(bb,dd),sFlat0),join(meet(f(bb,dd),join(sFlat1,sFlat0)),sFlat1)) != sFlat0,
inference(rw,[status(thm)],[g0_8,t61]) ).
cnf(g0_10,plain,
meet(join(f(bb,dd),sFlat0),join(meet(f(bb,dd),join(sFlat1,sFlat0)),meet(sFlat0,sFlat1))) != sFlat0,
inference(rw,[status(thm)],[g0_9,t1132]) ).
cnf(g0_11,plain,
meet(join(f(bb,dd),sFlat0),join(meet(f(bb,dd),join(sFlat1,sFlat0)),meet(sFlat1,sFlat0))) != sFlat0,
inference(rw,[status(thm)],[g0_10,t61]) ).
cnf(g0_12,plain,
meet(join(f(bb,dd),sFlat0),join(meet(f(bb,dd),join(sFlat0,sFlat1)),meet(sFlat1,sFlat0))) != sFlat0,
inference(rw,[status(thm)],[g0_11,t22]) ).
cnf(g0_13,plain,
meet(join(f(bb,dd),sFlat0),join(meet(join(sFlat0,sFlat1),f(bb,dd)),meet(sFlat1,sFlat0))) != sFlat0,
inference(rw,[status(thm)],[g0_12,t61]) ).
cnf(g0_14,plain,
meet(join(f(bb,dd),sFlat0),join(meet(sFlat1,sFlat0),meet(join(sFlat0,sFlat1),f(bb,dd)))) != sFlat0,
inference(rw,[status(thm)],[g0_13,t22]) ).
cnf(g0_15,plain,
meet(join(sFlat0,f(bb,dd)),join(meet(sFlat1,sFlat0),meet(join(sFlat0,sFlat1),f(bb,dd)))) != sFlat0,
inference(rw,[status(thm)],[g0_14,t22]) ).
cnf(g0_16,plain,
meet(join(sFlat0,f(bb,dd)),join(meet(sFlat1,sFlat0),meet(sFlat0,f(bb,dd)))) != sFlat0,
inference(rw,[status(thm)],[g0_15,t1118]) ).
cnf(g0_17,plain,
meet(join(sFlat0,f(bb,dd)),meet(sFlat0,join(sFlat1,f(bb,dd)))) != sFlat0,
inference(rw,[status(thm)],[g0_16,t876]) ).
cnf(g0_18,plain,
meet(join(sFlat0,f(bb,dd)),meet(sFlat0,join(sFlat0,f(bb,dd)))) != sFlat0,
inference(rw,[status(thm)],[g0_17,t240]) ).
cnf(g0_19,plain,
meet(join(sFlat0,f(bb,dd)),sFlat0) != sFlat0,
inference(rw,[status(thm)],[g0_18,t21]) ).
cnf(g0_20,plain,
meet(sFlat0,join(sFlat0,f(bb,dd))) != sFlat0,
inference(rw,[status(thm)],[g0_19,t61]) ).
cnf(g0_21,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_20,t21]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 20:04:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.79/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/1.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------