%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT034-1 : TPTP v9.2.1. Bugfixed v2.5.0.
% 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 : n022.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 04:37:23 PM UTC 2026
% Result : Unsatisfiable 0.24s 1.61s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of clauses : 44 ( 32 unt; 0 nHn; 9 RR)
% Number of literals : 58 ( 57 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 102 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(idempotence_of_meet,negated_conjecture,
meet(xx,xx) != xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
cnf(i_0_7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet,
[final] ).
cnf(i_0_8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join,
[final] ).
cnf(i_0_9,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1,
[final] ).
cnf(i_0_10,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2,
[final] ).
cnf(i_0_11,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet,
[final] ).
cnf(i_0_12,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join,
[final] ).
cnf(i_0_13,negated_conjecture,
meet(xx,xx) != xx,
idempotence_of_meet,
[final] ).
cnf(i_0_14,axiom,
X1 = X1 ).
cnf(i_0_15,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_16,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_17,axiom,
( X1 != X2
| meet(X1,X3) = meet(X2,X3) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| meet(X3,X1) = meet(X3,X2) ) ).
cnf(i_0_19,axiom,
( X1 != X2
| join(X1,X3) = join(X2,X3) ) ).
cnf(i_0_20,axiom,
( X1 != X2
| join(X3,X1) = join(X3,X2) ) ).
cnf(i_0_14_001,axiom,
X1 = X1 ).
cnf(i_0_15_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_16_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_17_004,axiom,
( X1 != X2
| meet(X1,X3) = meet(X2,X3) ) ).
cnf(i_0_18_005,axiom,
( X1 != X2
| meet(X3,X1) = meet(X3,X2) ) ).
cnf(i_0_19_006,axiom,
( X1 != X2
| join(X1,X3) = join(X2,X3) ) ).
cnf(i_0_20_007,axiom,
( X1 != X2
| join(X3,X1) = join(X3,X2) ) ).
cnf(i_0_21,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(scs_inference,[],[i_0_7,i_0_15]) ).
cnf(i_0_22,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(scs_inference,[],[i_0_11,i_0_7,i_0_15,i_0_16]) ).
cnf(i_0_23,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_24,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_25,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(scs_inference,[],[i_0_22,i_0_15]) ).
cnf(i_0_26,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(scs_inference,[],[i_0_22,i_0_12,i_0_8,i_0_15,i_0_16]) ).
cnf(i_0_27,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_28,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_29,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(scs_inference,[],[i_0_26,i_0_15]) ).
cnf(i_0_30,plain,
meet(X1,meet(X2,X3)) = meet(meet(X3,X1),X2),
inference(scs_inference,[],[i_0_21,i_0_25,i_0_26,i_0_15,i_0_16]) ).
cnf(i_0_31,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_32,plain,
meet(meet(X1,X2),X3) = meet(X2,meet(X3,X1)),
inference(scs_inference,[],[i_0_30,i_0_15]) ).
cnf(i_0_33,plain,
meet(xx,xx) != meet(xx,join(xx,X1)),
inference(scs_inference,[],[i_0_13,i_0_30,i_0_9,i_0_15,i_0_16]) ).
cnf(i_0_34,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_35,plain,
xx != join(xx,X1),
inference(scs_inference,[],[i_0_13,i_0_30,i_0_9,i_0_15,i_0_16,i_0_18]) ).
cnf(i_0_36,plain,
$false,
inference(scs_inference,[],[i_0_35,i_0_10,i_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT034-1 : TPTP v9.2.1. Bugfixed v2.5.0.
% 0.00/0.12 % 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
% 0.15/0.32 % Computer : n022.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 20:47:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.24/1.61 % Version : CSE_E---1.7
% 0.24/1.61 % Problem : theBenchmark.p
% 0.24/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.24/1.61 % SZS output start CNFRefutation
% See solution above
% 0.24/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------