%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 01:55:05 PM UTC 2026
% Result : Unsatisfiable 9.52s 7.07s
% Output : CNFRefutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 5 RR)
% Number of literals : 28 ( 27 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 61 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t11,axiom,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t27,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t7,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t7]) ).
cnf(t29,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)),
inference(cp,[status(thm)],[t27,t17]) ).
cnf(t1816,plain,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t29]) ).
cnf(t1901,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X3,X1)),
inference(cp,[status(thm)],[t1816,t17]) ).
cnf(t3114,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t1901]) ).
cnf(t8,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t8]) ).
cnf(t3152,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,join(X1,X2))),
inference(cp,[status(thm)],[t3114,t13]) ).
cnf(t9,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t44,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t9]) ).
cnf(t6,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t18,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t15,t17]) ).
cnf(t83,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t18]) ).
cnf(t87,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t44,t83]) ).
cnf(t451,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t87]) ).
cnf(t454,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t451,t27]) ).
cnf(t2765,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t454]) ).
cnf(t3759,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,X2)),
inference(step,[status(thm)],[t3152,t2765]) ).
cnf(t3518,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t3759]) ).
cnf(goal_0,negated_conjecture,
meet(join(a,b),join(a,c)) != join(a,meet(b,join(a,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(a,meet(c,b)) != join(a,meet(b,join(a,c))),
inference(rw,[status(thm)],[goal_0,t3518]) ).
cnf(g0_1,plain,
join(a,meet(c,b)) != join(a,meet(b,c)),
inference(rw,[status(thm)],[g0_0,t2765]) ).
cnf(g0_2,plain,
join(a,meet(c,b)) != join(a,meet(c,b)),
inference(rw,[status(thm)],[g0_1,t17]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.04/5.40 % Computer : n005.cluster.edu
% 0.04/5.40 % Model : x86_64 x86_64
% 0.04/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.40 % Memory : 8046.5625MB
% 0.04/5.40 % OS : Linux 6.8.0-71-generic
% 0.04/5.40 % CPULimit : 300
% 0.04/5.40 % WCLimit : 300
% 0.04/5.40 % DateTime : Wed Sep 23 20:05:23 UTC 2026
% 0.04/5.40 % CPUTime :
% 0.04/5.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.52/7.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.52/7.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------