%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT043-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 5.23s 1.10s
% Output : CNFRefutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 10
% Syntax : Number of clauses : 86 ( 86 unt; 0 nHn; 4 RR)
% Number of literals : 86 ( 85 equ; 3 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 152 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t11,axiom,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t27,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t4,axiom,
meet(complement(X1),X1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t7]) ).
cnf(t6596,plain,
meet(X1,complement(X1)) = n0,
inference(step,[status(thm)],[t4,t17]) ).
cnf(t34,plain,
meet(X1,complement(X1)) = n0,
inference(orient,[status(thm)],[t6596]) ).
cnf(t37,plain,
meet(X1,join(complement(X1),X2)) = join(n0,meet(X1,X2)),
inference(cp,[status(thm)],[t27,t34]) ).
cnf(t6,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t40,plain,
X1 = join(X1,n0),
inference(cp,[status(thm)],[t15,t34]) ).
cnf(t58,plain,
join(X1,n0) = X1,
inference(orient,[status(thm)],[t40]) ).
cnf(t5,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t41,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t59,plain,
X1 = join(n0,X1),
inference(cp,[status(thm)],[t58,t41]) ).
cnf(t66,plain,
join(n0,X1) = X1,
inference(orient,[status(thm)],[t59]) ).
cnf(t6617,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
inference(step,[status(thm)],[t37,t66]) ).
cnf(t261,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t6617]) ).
cnf(t0,axiom,
complement(complement(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t269,plain,
meet(complement(X1),X2) = meet(complement(X1),join(X1,X2)),
inference(cp,[status(thm)],[t261,t16]) ).
cnf(t310,plain,
meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t269]) ).
cnf(t9,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t44,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t9]) ).
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(t3,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6597,plain,
join(X1,complement(X1)) = n1,
inference(step,[status(thm)],[t3,t41]) ).
cnf(t53,plain,
join(X1,complement(X1)) = n1,
inference(orient,[status(thm)],[t6597]) ).
cnf(t54,plain,
n1 = join(X1,join(X2,complement(join(X1,X2)))),
inference(cp,[status(thm)],[t53,t44]) ).
cnf(t723,plain,
join(X1,join(X2,complement(join(X1,X2)))) = n1,
inference(orient,[status(thm)],[t54]) ).
cnf(t739,plain,
meet(X1,join(X2,complement(join(complement(X1),X2)))) = meet(X1,n1),
inference(cp,[status(thm)],[t261,t723]) ).
cnf(t8,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t8]) ).
cnf(t56,plain,
X1 = meet(X1,n1),
inference(cp,[status(thm)],[t13,t53]) ).
cnf(t61,plain,
meet(X1,n1) = X1,
inference(orient,[status(thm)],[t56]) ).
cnf(t6701,plain,
meet(X1,join(X2,complement(join(complement(X1),X2)))) = X1,
inference(step,[status(thm)],[t739,t61]) ).
cnf(t6177,plain,
meet(X1,join(X2,complement(join(complement(X1),X2)))) = X1,
inference(orient,[status(thm)],[t6701]) ).
cnf(t6218,plain,
join(X1,meet(X2,complement(join(complement(X2),X1)))) = join(X1,X2),
inference(cp,[status(thm)],[t2765,t6177]) ).
cnf(t85,plain,
join(X1,X2) = join(join(X1,X2),X1),
inference(cp,[status(thm)],[t83,t13]) ).
cnf(t6598,plain,
join(X1,X2) = join(X1,join(X2,X1)),
inference(step,[status(thm)],[t85,t44]) ).
cnf(t106,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(orient,[status(thm)],[t6598]) ).
cnf(t263,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,join(complement(X1),X2)),
inference(cp,[status(thm)],[t261,t106]) ).
cnf(t6618,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(step,[status(thm)],[t263,t261]) ).
cnf(t274,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(orient,[status(thm)],[t6618]) ).
cnf(t277,plain,
meet(complement(X1),X2) = meet(complement(X1),join(X2,X1)),
inference(cp,[status(thm)],[t274,t16]) ).
cnf(t327,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t277]) ).
cnf(t57,plain,
join(X1,join(complement(X1),X2)) = join(n1,X2),
inference(cp,[status(thm)],[t44,t53]) ).
cnf(t62,plain,
X1 = meet(n1,X1),
inference(cp,[status(thm)],[t61,t17]) ).
cnf(t74,plain,
meet(n1,X1) = X1,
inference(orient,[status(thm)],[t62]) ).
cnf(t75,plain,
join(n1,X1) = n1,
inference(cp,[status(thm)],[t74,t13]) ).
cnf(t79,plain,
join(n1,X1) = n1,
inference(orient,[status(thm)],[t75]) ).
cnf(t6607,plain,
join(X1,join(complement(X1),X2)) = n1,
inference(step,[status(thm)],[t57,t79]) ).
cnf(t175,plain,
join(X1,join(complement(X1),X2)) = n1,
inference(orient,[status(thm)],[t6607]) ).
cnf(t329,plain,
meet(complement(join(complement(X1),X2)),X1) = meet(complement(join(complement(X1),X2)),n1),
inference(cp,[status(thm)],[t327,t175]) ).
cnf(t6666,plain,
meet(X1,complement(join(complement(X1),X2))) = meet(complement(join(complement(X1),X2)),n1),
inference(step,[status(thm)],[t329,t17]) ).
cnf(t6667,plain,
meet(X1,complement(join(complement(X1),X2))) = complement(join(complement(X1),X2)),
inference(step,[status(thm)],[t6666,t61]) ).
cnf(t2713,plain,
meet(X1,complement(join(complement(X1),X2))) = complement(join(complement(X1),X2)),
inference(orient,[status(thm)],[t6667]) ).
cnf(t6702,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(step,[status(thm)],[t6218,t2713]) ).
cnf(t6248,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(orient,[status(thm)],[t6702]) ).
cnf(t6297,plain,
meet(complement(X1),complement(join(complement(X2),X1))) = meet(complement(X1),join(X1,X2)),
inference(cp,[status(thm)],[t310,t6248]) ).
cnf(t179,plain,
join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),n1),
inference(cp,[status(thm)],[t106,t175]) ).
cnf(t6608,plain,
join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),n1),
inference(step,[status(thm)],[t179,t44]) ).
cnf(t6609,plain,
join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,n1)),
inference(step,[status(thm)],[t6608,t44]) ).
cnf(t80,plain,
n1 = join(X1,n1),
inference(cp,[status(thm)],[t79,t41]) ).
cnf(t82,plain,
join(X1,n1) = n1,
inference(orient,[status(thm)],[t80]) ).
cnf(t6610,plain,
join(complement(X1),join(X2,X1)) = join(complement(X1),n1),
inference(step,[status(thm)],[t6609,t82]) ).
cnf(t6611,plain,
join(complement(X1),join(X2,X1)) = n1,
inference(step,[status(thm)],[t6610,t82]) ).
cnf(t195,plain,
join(complement(X1),join(X2,X1)) = n1,
inference(orient,[status(thm)],[t6611]) ).
cnf(t334,plain,
meet(complement(join(X1,X2)),complement(X2)) = meet(complement(join(X1,X2)),n1),
inference(cp,[status(thm)],[t327,t195]) ).
cnf(t6650,plain,
meet(complement(X2),complement(join(X1,X2))) = meet(complement(join(X1,X2)),n1),
inference(step,[status(thm)],[t334,t17]) ).
cnf(t6651,plain,
meet(complement(X2),complement(join(X1,X2))) = complement(join(X1,X2)),
inference(step,[status(thm)],[t6650,t61]) ).
cnf(t1723,plain,
meet(complement(X1),complement(join(X2,X1))) = complement(join(X2,X1)),
inference(orient,[status(thm)],[t6651]) ).
cnf(t6703,plain,
complement(join(complement(X2),X1)) = meet(complement(X1),join(X1,X2)),
inference(step,[status(thm)],[t6297,t1723]) ).
cnf(t6704,plain,
complement(join(complement(X2),X1)) = meet(complement(X1),X2),
inference(step,[status(thm)],[t6703,t310]) ).
cnf(t6342,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(orient,[status(thm)],[t6704]) ).
cnf(t6399,plain,
meet(complement(X1),complement(X2)) = complement(join(X2,X1)),
inference(cp,[status(thm)],[t6342,t16]) ).
cnf(t6528,plain,
meet(complement(X1),complement(X2)) = complement(join(X2,X1)),
inference(orient,[status(thm)],[t6399]) ).
cnf(goal_0,negated_conjecture,
meet(complement(c),complement(d)) != complement(join(c,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
complement(join(d,c)) != complement(join(c,d)),
inference(rw,[status(thm)],[goal_0,t6528]) ).
cnf(g0_1,plain,
complement(join(d,c)) != complement(join(d,c)),
inference(rw,[status(thm)],[g0_0,t41]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT043-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 20:05:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.23/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.23/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------