%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT027-1 : TPTP v9.2.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:37:22 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.78s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 4 RR)
% Number of literals : 32 ( 31 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_2,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_2) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',commutativity_of_join) ).
cnf(absorption,hypothesis,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(prove_associativity_of_join,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_join) ).
cnf(c_0_5,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
wal_2 ).
cnf(c_0_6,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_7,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,hypothesis,
meet(X1,join(X2,join(X1,X3))) = X1,
absorption ).
cnf(c_0_9,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_10,hypothesis,
join(join(X1,join(X2,X3)),join(X2,meet(X4,join(X1,join(X2,X3))))) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_6]) ).
cnf(c_0_11,hypothesis,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,hypothesis,
join(join(X1,X2),join(X2,join(X1,X3))) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_6]) ).
cnf(c_0_14,hypothesis,
join(X1,join(X2,join(X1,X3))) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_6]) ).
cnf(c_0_15,hypothesis,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_16,hypothesis,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_17,hypothesis,
join(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_15]) ).
cnf(c_0_19,hypothesis,
meet(X1,join(join(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_20,hypothesis,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,hypothesis,
join(X1,join(X2,join(X3,X1))) = join(X2,join(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_6]) ).
cnf(c_0_22,hypothesis,
join(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_23,hypothesis,
join(join(X1,X2),join(join(X3,X2),X1)) = join(join(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_6]) ).
cnf(c_0_24,hypothesis,
join(join(X1,X2),join(X3,X1)) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_13]) ).
cnf(c_0_25,hypothesis,
join(join(X1,X2),join(X3,join(X2,X1))) = join(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,hypothesis,
join(join(X1,X2),join(X3,X2)) = join(join(X1,X2),X3),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
prove_associativity_of_join ).
cnf(c_0_28,hypothesis,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_26]),c_0_24]) ).
cnf(c_0_29,negated_conjecture,
join(c,join(a,b)) != join(a,join(b,c)),
inference(rw,[status(thm)],[c_0_27,c_0_6]) ).
cnf(c_0_30,hypothesis,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_28]),c_0_21]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_6]),c_0_30]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LAT027-1 : TPTP v9.2.1. Released v2.2.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 20:47:31 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.67/1.78 % Version : CSE_E---1.7
% 1.67/1.78 % Problem : theBenchmark.p
% 1.67/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.78 % SZS output start CNFRefutation
% See solution above
% 1.67/1.78 % Total time : 1.362s
%------------------------------------------------------------------------------