%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 29.74s 4.32s
% Output : CNFRefutation 29.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 5 RR)
% Number of literals : 55 ( 54 equ; 4 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 : 144 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t47,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t8,axiom,
meet(X1,join(meet(X1,X2),meet(join(X1,X2),X3))) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t7789,plain,
meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X1,X3)),
inference(step,[status(thm)],[t8,t13]) ).
cnf(t33,plain,
meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X1,X3)),
inference(orient,[status(thm)],[t7789]) ).
cnf(t6,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7790,plain,
join(X3,join(X1,X2)) = join(X1,join(X2,X3)),
inference(step,[status(thm)],[t6,t47]) ).
cnf(t50,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(orient,[status(thm)],[t7790]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t54,plain,
join(meet(X1,X2),join(X3,X1)) = join(X3,X1),
inference(cp,[status(thm)],[t50,t12]) ).
cnf(t7798,plain,
join(X1,join(meet(X1,X2),X3)) = join(X3,X1),
inference(step,[status(thm)],[t54,t50]) ).
cnf(t7799,plain,
join(X1,join(X3,meet(X1,X2))) = join(X3,X1),
inference(step,[status(thm)],[t7798,t47]) ).
cnf(t7800,plain,
join(X1,join(X3,meet(X1,X2))) = join(X1,X3),
inference(step,[status(thm)],[t7799,t47]) ).
cnf(t100,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(orient,[status(thm)],[t7800]) ).
cnf(t109,plain,
join(meet(X1,join(X2,meet(X1,X3))),meet(X1,Y3)) = meet(X1,join(meet(X1,join(X2,meet(X1,X3))),meet(Y3,join(X1,X2)))),
inference(cp,[status(thm)],[t33,t100]) ).
cnf(t7893,plain,
join(meet(X1,Y3),meet(X1,join(X2,meet(X1,X3)))) = meet(X1,join(meet(X1,join(X2,meet(X1,X3))),meet(Y3,join(X1,X2)))),
inference(step,[status(thm)],[t109,t47]) ).
cnf(t7894,plain,
join(meet(X1,Y3),meet(X1,join(X2,meet(X1,X3)))) = meet(X1,join(meet(Y3,join(X1,X2)),meet(X1,join(X2,meet(X1,X3))))),
inference(step,[status(thm)],[t7893,t47]) ).
cnf(t1171,plain,
meet(X1,join(meet(X2,join(X1,X3)),meet(X1,join(X3,meet(X1,Y3))))) = join(meet(X1,X2),meet(X1,join(X3,meet(X1,Y3)))),
inference(orient,[status(thm)],[t7894]) ).
cnf(t7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7788,plain,
meet(X3,meet(X1,X2)) = meet(X1,meet(X2,X3)),
inference(step,[status(thm)],[t7,t13]) ).
cnf(t15,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(orient,[status(thm)],[t7788]) ).
cnf(t5,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t19,plain,
meet(join(X1,X2),meet(X3,X1)) = meet(X3,X1),
inference(cp,[status(thm)],[t15,t10]) ).
cnf(t7795,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X3,X1),
inference(step,[status(thm)],[t19,t15]) ).
cnf(t7796,plain,
meet(X1,meet(X3,join(X1,X2))) = meet(X3,X1),
inference(step,[status(thm)],[t7795,t13]) ).
cnf(t7797,plain,
meet(X1,meet(X3,join(X1,X2))) = meet(X1,X3),
inference(step,[status(thm)],[t7796,t13]) ).
cnf(t88,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t7797]) ).
cnf(t1229,plain,
meet(meet(X1,join(X2,X3)),X2) = meet(meet(X1,join(X2,X3)),join(meet(X2,X1),meet(X2,join(X3,meet(X2,Y3))))),
inference(cp,[status(thm)],[t88,t1171]) ).
cnf(t7951,plain,
meet(X2,meet(X1,join(X2,X3))) = meet(meet(X1,join(X2,X3)),join(meet(X2,X1),meet(X2,join(X3,meet(X2,Y3))))),
inference(step,[status(thm)],[t1229,t13]) ).
cnf(t7952,plain,
meet(X2,X1) = meet(meet(X1,join(X2,X3)),join(meet(X2,X1),meet(X2,join(X3,meet(X2,Y3))))),
inference(step,[status(thm)],[t7951,t88]) ).
cnf(t7953,plain,
meet(X1,X2) = meet(meet(X1,join(X2,X3)),join(meet(X2,X1),meet(X2,join(X3,meet(X2,Y3))))),
inference(step,[status(thm)],[t7952,t13]) ).
cnf(t7954,plain,
meet(X1,X2) = meet(meet(X1,join(X2,X3)),join(meet(X1,X2),meet(X2,join(X3,meet(X2,Y3))))),
inference(step,[status(thm)],[t7953,t13]) ).
cnf(t2306,plain,
meet(meet(X1,join(X2,X3)),join(meet(X1,X2),meet(X2,join(X3,meet(X2,Y3))))) = meet(X1,X2),
inference(orient,[status(thm)],[t7954]) ).
cnf(t2393,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)),
inference(cp,[status(thm)],[t12,t2306]) ).
cnf(t7959,plain,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X2,X3))),
inference(step,[status(thm)],[t2393,t47]) ).
cnf(t2704,plain,
join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t7959]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t18,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(cp,[status(thm)],[t15,t9]) ).
cnf(t7791,plain,
meet(X1,meet(X1,X2)) = meet(X2,X1),
inference(step,[status(thm)],[t18,t15]) ).
cnf(t7792,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(step,[status(thm)],[t7791,t13]) ).
cnf(t70,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t7792]) ).
cnf(t2713,plain,
meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))),
inference(cp,[status(thm)],[t2704,t70]) ).
cnf(t8050,plain,
meet(X1,join(X3,meet(X1,X2))) = join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))),
inference(step,[status(thm)],[t2713,t47]) ).
cnf(t8051,plain,
meet(X1,join(X3,meet(X1,X2))) = join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))),
inference(step,[status(thm)],[t8050,t47]) ).
cnf(t7636,plain,
join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))),
inference(orient,[status(thm)],[t8051]) ).
cnf(goal_0,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[goal_0,t47]) ).
cnf(g0_1,plain,
join(meet(a,c),meet(a,join(b,meet(a,c)))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_0,t1171]) ).
cnf(g0_2,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[g0_1,t7636]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.42 % Computer : n006.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.43 % DateTime : Wed Sep 23 20:26:11 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.74/4.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.74/4.32 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------