%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT168-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 01:55:48 PM UTC 2026
% Result : Unsatisfiable 17.54s 7.72s
% Output : CNFRefutation 17.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 6 RR)
% Number of literals : 56 ( 55 equ; 5 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t29,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t4,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t35,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t8,axiom,
join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t63,plain,
join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t76,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(meet(join(X1,X3),join(X2,meet(X1,X3))),join(X1,X2))),
inference(cp,[status(thm)],[t63,t35]) ).
cnf(t7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t4329,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X3),meet(join(X2,meet(X1,X3)),join(X1,X2)))),
inference(step,[status(thm)],[t76,t19]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t21,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(cp,[status(thm)],[t19,t10]) ).
cnf(t27,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t21]) ).
cnf(t38,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(cp,[status(thm)],[t35,t27]) ).
cnf(t4261,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(step,[status(thm)],[t38,t19]) ).
cnf(t52,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t4261]) ).
cnf(t54,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))),
inference(cp,[status(thm)],[t52,t19]) ).
cnf(t176,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t54]) ).
cnf(t179,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(meet(X3,X1),X2)),
inference(cp,[status(thm)],[t176,t35]) ).
cnf(t4275,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X3,meet(X1,X2))),
inference(step,[status(thm)],[t179,t19]) ).
cnf(t56,plain,
meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3),
inference(cp,[status(thm)],[t19,t52]) ).
cnf(t4264,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3),
inference(step,[status(thm)],[t56,t19]) ).
cnf(t4265,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)),
inference(step,[status(thm)],[t4264,t19]) ).
cnf(t187,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t4265]) ).
cnf(t4276,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X3,X2)),
inference(step,[status(thm)],[t4275,t187]) ).
cnf(t468,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t4276]) ).
cnf(t4330,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X3),meet(join(X1,X2),join(X2,meet(X1,X3))))),
inference(step,[status(thm)],[t4329,t468]) ).
cnf(t5,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t33,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t12,t29]) ).
cnf(t46,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t33]) ).
cnf(t6,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t17,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t13,t11]) ).
cnf(t85,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t17]) ).
cnf(t89,plain,
join(X1,X2) = join(X1,join(X2,meet(X1,X3))),
inference(cp,[status(thm)],[t85,t29]) ).
cnf(t283,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(orient,[status(thm)],[t89]) ).
cnf(t287,plain,
join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)),
inference(cp,[status(thm)],[t46,t283]) ).
cnf(t4323,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t287,t35]) ).
cnf(t3720,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t4323]) ).
cnf(t4331,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X3),join(X2,meet(X1,X3)))),
inference(step,[status(thm)],[t4330,t3720]) ).
cnf(t4131,plain,
join(X1,meet(join(X1,X2),join(X3,meet(X1,X2)))) = meet(join(X1,X3),join(X1,X2)),
inference(orient,[status(thm)],[t4331]) ).
cnf(t47,plain,
X1 = meet(X1,join(X2,join(X3,X1))),
inference(cp,[status(thm)],[t46,t13]) ).
cnf(t125,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(orient,[status(thm)],[t47]) ).
cnf(t126,plain,
meet(X1,X2) = meet(meet(X1,X2),join(X3,X1)),
inference(cp,[status(thm)],[t125,t11]) ).
cnf(t4273,plain,
meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))),
inference(step,[status(thm)],[t126,t19]) ).
cnf(t411,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(orient,[status(thm)],[t4273]) ).
cnf(goal_0,negated_conjecture,
meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) != meet(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(a,join(b,meet(join(b,a),join(c,meet(a,b))))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[goal_0,t29]) ).
cnf(g0_1,plain,
meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[g0_0,t35]) ).
cnf(g0_2,plain,
meet(a,meet(join(b,c),join(b,a))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[g0_1,t4131]) ).
cnf(g0_3,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(rw,[status(thm)],[g0_2,t411]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT168-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.38 % Computer : n001.cluster.edu
% 0.08/5.38 % Model : x86_64 x86_64
% 0.08/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.38 % Memory : 8046.5625MB
% 0.08/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/5.38 % CPULimit : 300
% 0.08/5.38 % WCLimit : 300
% 0.08/5.38 % DateTime : Wed Sep 23 20:31:55 UTC 2026
% 0.08/5.39 % CPUTime :
% 0.08/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.54/7.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.54/7.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------