%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 01:55:03 PM UTC 2026
% Result : Unsatisfiable 5.73s 1.32s
% Output : CNFRefutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 4 RR)
% Number of literals : 27 ( 26 equ; 3 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(t8,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t25,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,X3)),
inference(cp,[status(thm)],[t23,t13]) ).
cnf(t291,plain,
meet(join(X1,X2),join(X2,X3)) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t25]) ).
cnf(t319,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X3,X1)),
inference(cp,[status(thm)],[t291,t13]) ).
cnf(t678,plain,
meet(join(X1,X2),join(X3,X2)) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t319]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t694,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,meet(X1,X2))),
inference(cp,[status(thm)],[t678,t10]) ).
cnf(t7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t33,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t5,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t14,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t12,t13]) ).
cnf(t42,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t14]) ).
cnf(t46,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(cp,[status(thm)],[t33,t42]) ).
cnf(t135,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t46]) ).
cnf(t137,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,X3))),
inference(cp,[status(thm)],[t135,t23]) ).
cnf(t610,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t137]) ).
cnf(t923,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,X2)),
inference(step,[status(thm)],[t694,t610]) ).
cnf(t836,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,X2)),
inference(orient,[status(thm)],[t923]) ).
cnf(goal_0,negated_conjecture,
join(meet(xx,yy),meet(xx,zz)) != meet(xx,join(yy,zz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(xx,join(zz,yy)) != meet(xx,join(yy,zz)),
inference(rw,[status(thm)],[goal_0,t836]) ).
cnf(g0_1,plain,
meet(xx,join(zz,yy)) != meet(xx,join(zz,yy)),
inference(rw,[status(thm)],[g0_0,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 20:05:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.73/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/1.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------