%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 01:55:01 PM UTC 2026
% Result : Unsatisfiable 7.78s 1.89s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of clauses : 93 ( 93 unt; 0 nHn; 7 RR)
% Number of literals : 93 ( 92 equ; 6 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 231 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t3,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t46,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t8,axiom,
join(join(X1,meet(X2,X3)),meet(join(X1,X2),X3)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t4]) ).
cnf(t21267,plain,
join(X1,join(meet(X2,X3),meet(join(X1,X2),X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t8,t12]) ).
cnf(t17,plain,
join(X1,join(meet(X2,X3),meet(join(X1,X2),X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t21267]) ).
cnf(t6,axiom,
join(meet(X1,join(X2,X3)),meet(X1,X2)) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t21268,plain,
join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t6,t11]) ).
cnf(t35,plain,
join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t21268]) ).
cnf(t41,plain,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X3,X2))),
inference(cp,[status(thm)],[t35,t11]) ).
cnf(t518,plain,
join(meet(X1,X2),meet(X1,join(X3,X2))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t41]) ).
cnf(t524,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X3,X2))),
inference(cp,[status(thm)],[t518,t46]) ).
cnf(t1208,plain,
join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t524]) ).
cnf(t1230,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(join(X3,X2),X1)),
inference(cp,[status(thm)],[t1208,t46]) ).
cnf(t3159,plain,
join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t1230]) ).
cnf(t21315,plain,
join(X1,meet(X3,join(X2,X1))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t17,t3159]) ).
cnf(t3292,plain,
join(X1,meet(X3,join(X2,X1))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[t21315]) ).
cnf(t3293,plain,
join(X1,meet(X2,join(X3,X1))) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t3292]) ).
cnf(t7,axiom,
meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t25,plain,
meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t51,plain,
meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[t25]) ).
cnf(t21284,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t51,t46]) ).
cnf(t689,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t21284]) ).
cnf(t706,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))),
inference(cp,[status(thm)],[t689,t11]) ).
cnf(t1596,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t706]) ).
cnf(t1650,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X3,X2))),
inference(cp,[status(thm)],[t1596,t46]) ).
cnf(t4293,plain,
meet(join(X1,X2),join(X2,meet(X3,X1))) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t1650]) ).
cnf(t47,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))),
inference(cp,[status(thm)],[t35,t46]) ).
cnf(t567,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t47]) ).
cnf(t579,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(join(X2,X3),X1)),
inference(cp,[status(thm)],[t567,t46]) ).
cnf(t1381,plain,
join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t579]) ).
cnf(t4343,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(join(X2,meet(X1,X2)),meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t4293,t1381]) ).
cnf(t21365,plain,
meet(X2,join(X1,X3)) = meet(join(X2,meet(X1,X2)),meet(X2,join(X1,X3))),
inference(step,[status(thm)],[t4343,t567]) ).
cnf(t5,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t52,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t5]) ).
cnf(t56,plain,
meet(X1,meet(X2,X3)) = meet(meet(X2,X1),X3),
inference(cp,[status(thm)],[t52,t46]) ).
cnf(t21274,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(step,[status(thm)],[t56,t52]) ).
cnf(t291,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t21274]) ).
cnf(t21366,plain,
meet(X2,join(X1,X3)) = meet(X2,meet(join(X2,meet(X1,X2)),join(X1,X3))),
inference(step,[status(thm)],[t21365,t291]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t711,plain,
join(meet(X1,X2),meet(X1,X2)) = meet(join(meet(X1,X2),X1),meet(X1,X2)),
inference(cp,[status(thm)],[t689,t9]) ).
cnf(t21285,plain,
meet(X1,X2) = meet(join(meet(X1,X2),X1),meet(X1,X2)),
inference(step,[status(thm)],[t711,t9]) ).
cnf(t54,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(cp,[status(thm)],[t52,t46]) ).
cnf(t247,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(orient,[status(thm)],[t54]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t55,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(cp,[status(thm)],[t52,t10]) ).
cnf(t65,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t55]) ).
cnf(t68,plain,
meet(X1,X2) = meet(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t65,t46]) ).
cnf(t79,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t68]) ).
cnf(t254,plain,
meet(meet(X1,X2),meet(X3,X2)) = meet(X3,meet(X2,X1)),
inference(cp,[status(thm)],[t247,t79]) ).
cnf(t21277,plain,
meet(X1,meet(X2,meet(X3,X2))) = meet(X3,meet(X2,X1)),
inference(step,[status(thm)],[t254,t52]) ).
cnf(t21278,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(step,[status(thm)],[t21277,t79]) ).
cnf(t354,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(orient,[status(thm)],[t21278]) ).
cnf(t21286,plain,
meet(X1,X2) = meet(X2,meet(X1,join(meet(X1,X2),X1))),
inference(step,[status(thm)],[t21285,t354]) ).
cnf(t21287,plain,
meet(X1,X2) = meet(X2,meet(X1,join(X1,meet(X1,X2)))),
inference(step,[status(thm)],[t21286,t11]) ).
cnf(t690,plain,
join(X1,meet(X1,X2)) = meet(X1,join(X1,meet(X1,X2))),
inference(cp,[status(thm)],[t689,t9]) ).
cnf(t745,plain,
meet(X1,join(X1,meet(X1,X2))) = join(X1,meet(X1,X2)),
inference(orient,[status(thm)],[t690]) ).
cnf(t21288,plain,
meet(X1,X2) = meet(X2,join(X1,meet(X1,X2))),
inference(step,[status(thm)],[t21287,t745]) ).
cnf(t806,plain,
meet(X1,join(X2,meet(X2,X1))) = meet(X2,X1),
inference(orient,[status(thm)],[t21288]) ).
cnf(t3354,plain,
meet(X1,join(X2,X1)) = meet(join(X2,X1),join(X1,meet(X2,X1))),
inference(cp,[status(thm)],[t806,t3293]) ).
cnf(t21317,plain,
meet(X1,join(X2,X1)) = join(X1,meet(X2,X1)),
inference(step,[status(thm)],[t3354,t1596]) ).
cnf(t3382,plain,
join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)),
inference(orient,[status(thm)],[t21317]) ).
cnf(t21367,plain,
meet(X2,join(X1,X3)) = meet(X2,meet(meet(X2,join(X1,X2)),join(X1,X3))),
inference(step,[status(thm)],[t21366,t3382]) ).
cnf(t21368,plain,
meet(X2,join(X1,X3)) = meet(X2,meet(X2,meet(join(X1,X2),join(X1,X3)))),
inference(step,[status(thm)],[t21367,t52]) ).
cnf(t21369,plain,
meet(X2,join(X1,X3)) = meet(X2,meet(join(X1,X2),join(X1,X3))),
inference(step,[status(thm)],[t21368,t65]) ).
cnf(t6912,plain,
meet(X1,meet(join(X2,X1),join(X2,X3))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t21369]) ).
cnf(t6917,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),join(X2,X1))),
inference(cp,[status(thm)],[t6912,t46]) ).
cnf(t8166,plain,
meet(X1,meet(join(X2,X3),join(X2,X1))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t6917]) ).
cnf(t8169,plain,
meet(meet(X1,X2),join(X3,X1)) = meet(meet(X1,X2),join(X3,meet(X1,X2))),
inference(cp,[status(thm)],[t8166,t689]) ).
cnf(t21441,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(meet(X1,X2),join(X3,meet(X1,X2))),
inference(step,[status(thm)],[t8169,t52]) ).
cnf(t21442,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,meet(X2,join(X3,meet(X1,X2)))),
inference(step,[status(thm)],[t21441,t52]) ).
cnf(t19726,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,meet(X2,join(X3,X1))),
inference(orient,[status(thm)],[t21442]) ).
cnf(t19747,plain,
meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,meet(join(X2,X3),join(X3,meet(X2,X1)))),
inference(cp,[status(thm)],[t19726,t3293]) ).
cnf(t8198,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X3,X2),join(X2,X1))),
inference(cp,[status(thm)],[t8166,t11]) ).
cnf(t9846,plain,
meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,join(X3,X2)),
inference(orient,[status(thm)],[t8198]) ).
cnf(t21443,plain,
meet(X1,join(X3,X2)) = meet(X1,meet(join(X2,X3),join(X3,meet(X2,X1)))),
inference(step,[status(thm)],[t19747,t9846]) ).
cnf(t21444,plain,
meet(X1,join(X3,X2)) = meet(X1,join(X3,meet(X2,X1))),
inference(step,[status(thm)],[t21443,t1596]) ).
cnf(t19918,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t21444]) ).
cnf(t20039,plain,
join(meet(X1,X2),meet(X3,X2)) = join(meet(X1,X2),meet(X2,join(X3,X1))),
inference(cp,[status(thm)],[t3293,t19918]) ).
cnf(t21456,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X1,X3)),
inference(step,[status(thm)],[t20039,t1208]) ).
cnf(t21046,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t21456]) ).
cnf(goal_0,negated_conjecture,
join(meet(a,b),meet(a,c)) != meet(a,join(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(meet(a,c),meet(a,b)) != meet(a,join(b,c)),
inference(rw,[status(thm)],[goal_0,t11]) ).
cnf(g0_1,plain,
join(meet(c,a),meet(a,b)) != meet(a,join(b,c)),
inference(rw,[status(thm)],[g0_0,t46]) ).
cnf(g0_2,plain,
join(meet(c,a),meet(b,a)) != meet(a,join(b,c)),
inference(rw,[status(thm)],[g0_1,t46]) ).
cnf(g0_3,plain,
meet(a,join(c,b)) != meet(a,join(b,c)),
inference(rw,[status(thm)],[g0_2,t21046]) ).
cnf(g0_4,plain,
meet(a,join(c,b)) != meet(a,join(c,b)),
inference(rw,[status(thm)],[g0_3,t11]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 20:07:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.78/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.78/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------