%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT027-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 01:55:02 PM UTC 2026
% Result : Unsatisfiable 6.23s 1.45s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 5 RR)
% Number of literals : 76 ( 75 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 : 197 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t28,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t5,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(orient,[status(thm)],[t5]) ).
cnf(t33,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(rw,[status(thm)],[t8]) ).
cnf(t41349,plain,
join(X2,join(meet(X1,X2),meet(X3,X2))) = X2,
inference(step,[status(thm)],[t33,t28]) ).
cnf(t44,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(orient,[status(thm)],[t41349]) ).
cnf(t4,axiom,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t31,plain,
X1 = meet(X1,join(join(X1,X2),X3)),
inference(cp,[status(thm)],[t13,t28]) ).
cnf(t39,plain,
meet(X1,join(join(X1,X2),X3)) = X1,
inference(orient,[status(thm)],[t31]) ).
cnf(t47,plain,
join(join(X1,X2),X3) = join(join(join(X1,X2),X3),join(X1,meet(Y3,join(join(X1,X2),X3)))),
inference(cp,[status(thm)],[t44,t39]) ).
cnf(t1089,plain,
join(join(join(X1,X2),X3),join(X1,meet(Y3,join(join(X1,X2),X3)))) = join(join(X1,X2),X3),
inference(orient,[status(thm)],[t47]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t16,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t13,t7]) ).
cnf(t38,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t16]) ).
cnf(t1142,plain,
join(join(X1,X2),X3) = join(join(join(X1,X2),X3),join(X1,X3)),
inference(cp,[status(thm)],[t1089,t38]) ).
cnf(t41407,plain,
join(join(X1,X2),X3) = join(join(X1,X3),join(join(X1,X2),X3)),
inference(step,[status(thm)],[t1142,t28]) ).
cnf(t9933,plain,
join(join(X1,X2),join(join(X1,X3),X2)) = join(join(X1,X3),X2),
inference(orient,[status(thm)],[t41407]) ).
cnf(t9969,plain,
join(join(X1,X2),X3) = join(join(X1,X3),join(X3,join(X1,X2))),
inference(cp,[status(thm)],[t9933,t28]) ).
cnf(t15526,plain,
join(join(X1,X2),join(X2,join(X1,X3))) = join(join(X1,X3),X2),
inference(orient,[status(thm)],[t9969]) ).
cnf(t51,plain,
join(X1,X2) = join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))),
inference(cp,[status(thm)],[t44,t38]) ).
cnf(t40217,plain,
join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) = join(X1,X2),
inference(orient,[status(thm)],[t51]) ).
cnf(t14,plain,
X1 = meet(X1,join(X1,X2)),
inference(cp,[status(thm)],[t13,t7]) ).
cnf(t36,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t14]) ).
cnf(t9996,plain,
join(X1,X2) = meet(join(X1,X2),join(join(X1,X3),X2)),
inference(cp,[status(thm)],[t36,t9933]) ).
cnf(t10456,plain,
meet(join(X1,X2),join(join(X1,X3),X2)) = join(X1,X2),
inference(orient,[status(thm)],[t9996]) ).
cnf(t10494,plain,
join(X1,X2) = meet(join(X1,X2),join(X2,join(X1,X3))),
inference(cp,[status(thm)],[t10456,t28]) ).
cnf(t12142,plain,
meet(join(X1,X2),join(X2,join(X1,X3))) = join(X1,X2),
inference(orient,[status(thm)],[t10494]) ).
cnf(t40390,plain,
join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(join(X2,X3),join(X2,X1))),
inference(cp,[status(thm)],[t40217,t12142]) ).
cnf(t45,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t44,t7]) ).
cnf(t67,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t45]) ).
cnf(t72,plain,
join(X1,X2) = join(join(X1,X2),X2),
inference(cp,[status(thm)],[t67,t38]) ).
cnf(t41351,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(step,[status(thm)],[t72,t28]) ).
cnf(t91,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(orient,[status(thm)],[t41351]) ).
cnf(t10497,plain,
join(X1,X2) = meet(join(X1,X2),join(join(X3,X1),X2)),
inference(cp,[status(thm)],[t10456,t91]) ).
cnf(t12269,plain,
meet(join(X1,X2),join(join(X3,X1),X2)) = join(X1,X2),
inference(orient,[status(thm)],[t10497]) ).
cnf(t12373,plain,
join(join(X1,X2),X3) = join(join(join(X1,X2),X3),join(X2,X3)),
inference(cp,[status(thm)],[t67,t12269]) ).
cnf(t32,plain,
X1 = meet(X1,join(X2,join(X3,X1))),
inference(cp,[status(thm)],[t13,t28]) ).
cnf(t41,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(orient,[status(thm)],[t32]) ).
cnf(t77,plain,
meet(X1,X2) = meet(meet(X1,X2),join(X3,X2)),
inference(cp,[status(thm)],[t41,t67]) ).
cnf(t119,plain,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t77]) ).
cnf(t136,plain,
join(X1,X2) = join(join(X1,X2),meet(X3,X2)),
inference(cp,[status(thm)],[t67,t119]) ).
cnf(t244,plain,
join(join(X1,X2),meet(X3,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t136]) ).
cnf(t9940,plain,
join(join(X1,X2),meet(X3,X2)) = join(join(X1,meet(X3,X2)),join(X1,X2)),
inference(cp,[status(thm)],[t9933,t244]) ).
cnf(t41410,plain,
join(X1,X2) = join(join(X1,meet(X3,X2)),join(X1,X2)),
inference(step,[status(thm)],[t9940,t244]) ).
cnf(t41411,plain,
join(X1,X2) = join(join(X1,X2),join(X1,meet(X3,X2))),
inference(step,[status(thm)],[t41410,t28]) ).
cnf(t10257,plain,
join(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,X2),
inference(orient,[status(thm)],[t41411]) ).
cnf(t10314,plain,
join(X1,X2) = join(join(X2,X1),join(X1,meet(X3,X2))),
inference(cp,[status(thm)],[t10257,t28]) ).
cnf(t11345,plain,
join(join(X1,X2),join(X2,meet(X3,X1))) = join(X2,X1),
inference(orient,[status(thm)],[t10314]) ).
cnf(t11461,plain,
join(X1,join(X2,X3)) = join(join(join(X2,X3),X1),join(X1,X3)),
inference(cp,[status(thm)],[t11345,t38]) ).
cnf(t41424,plain,
join(X1,join(X2,X3)) = join(join(X1,X3),join(join(X2,X3),X1)),
inference(step,[status(thm)],[t11461,t28]) ).
cnf(t17459,plain,
join(join(X1,X2),join(join(X3,X2),X1)) = join(X1,join(X3,X2)),
inference(orient,[status(thm)],[t41424]) ).
cnf(t17698,plain,
join(X1,join(X2,X3)) = join(join(X1,X3),join(join(X3,X2),X1)),
inference(cp,[status(thm)],[t17459,t28]) ).
cnf(t9934,plain,
join(join(X1,X2),X3) = join(join(X3,X1),join(join(X1,X2),X3)),
inference(cp,[status(thm)],[t9933,t28]) ).
cnf(t15319,plain,
join(join(X1,X2),join(join(X2,X3),X1)) = join(join(X2,X3),X1),
inference(orient,[status(thm)],[t9934]) ).
cnf(t41425,plain,
join(X1,join(X2,X3)) = join(join(X3,X2),X1),
inference(step,[status(thm)],[t17698,t15319]) ).
cnf(t17871,plain,
join(X1,join(X2,X3)) = join(join(X3,X2),X1),
inference(orient,[status(thm)],[t41425]) ).
cnf(t41431,plain,
join(join(X1,X2),X3) = join(join(X2,X3),join(X3,join(X1,X2))),
inference(step,[status(thm)],[t12373,t17871]) ).
cnf(t19724,plain,
join(join(X1,X2),join(X2,join(X3,X1))) = join(join(X3,X1),X2),
inference(orient,[status(thm)],[t41431]) ).
cnf(t41468,plain,
join(X1,join(X2,X3)) = join(join(X2,X1),join(X2,X3)),
inference(step,[status(thm)],[t40390,t19724]) ).
cnf(t40679,plain,
join(join(X1,X2),join(X1,X3)) = join(X2,join(X1,X3)),
inference(orient,[status(thm)],[t41468]) ).
cnf(t40938,plain,
join(join(X1,X2),join(X1,X3)) = join(join(X1,join(X1,X3)),join(X3,join(X1,X2))),
inference(cp,[status(thm)],[t15526,t40679]) ).
cnf(t41471,plain,
join(X2,join(X1,X3)) = join(join(X1,join(X1,X3)),join(X3,join(X1,X2))),
inference(step,[status(thm)],[t40938,t40679]) ).
cnf(t73,plain,
join(X1,X2) = join(join(X1,X2),X1),
inference(cp,[status(thm)],[t67,t36]) ).
cnf(t41352,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(step,[status(thm)],[t73,t28]) ).
cnf(t96,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t41352]) ).
cnf(t41472,plain,
join(X2,join(X1,X3)) = join(join(X1,X3),join(X3,join(X1,X2))),
inference(step,[status(thm)],[t41471,t96]) ).
cnf(t41473,plain,
join(X2,join(X1,X3)) = join(join(X1,X2),X3),
inference(step,[status(thm)],[t41472,t15526]) ).
cnf(t41055,plain,
join(join(X1,X2),X3) = join(X2,join(X1,X3)),
inference(orient,[status(thm)],[t41473]) ).
cnf(goal_0,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(join(a,b),c) != join(c,join(b,a)),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
join(join(b,c),a) != join(c,join(b,a)),
inference(rw,[status(thm)],[g0_0,t28]) ).
cnf(g0_2,plain,
join(c,join(b,a)) != join(c,join(b,a)),
inference(rw,[status(thm)],[g0_1,t41055]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT027-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 20:03:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.23/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/1.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------