%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT005-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 04:37:17 PM UTC 2026
% Result : Unsatisfiable 28.87s 17.20s
% Output : CNFRefutation 28.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 104 ( 55 unt; 0 nHn; 95 RR)
% Number of literals : 206 ( 0 equ; 105 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 178 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_meet1,axiom,
( meet(X3,X4,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet1) ).
cnf(meet_a_and_b,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
cnf(commutativity_of_meet,axiom,
( meet(X2,X1,X3)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(meet_c_and_r2,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
cnf(meet_r2_and_b,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
cnf(commutativity_of_join,axiom,
( join(X2,X1,X3)
| ~ join(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(join_0_and_x,axiom,
join(n0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_0_and_x) ).
cnf(join_a_and_b,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
cnf(absorbtion1,axiom,
( join(X1,X3,X1)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion1) ).
cnf(meet_r2_and_a,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
cnf(associativity_of_join2,axiom,
( join(X1,X5,X6)
| ~ join(X1,X2,X3)
| ~ join(X2,X4,X5)
| ~ join(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join2) ).
cnf(join_r1_and_e,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
cnf(associativity_of_join1,axiom,
( join(X3,X4,X6)
| ~ join(X1,X2,X3)
| ~ join(X2,X4,X5)
| ~ join(X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join1) ).
cnf(modularity1,axiom,
( join(X1,X5,X6)
| ~ meet(X1,X2,X1)
| ~ join(X1,X3,X4)
| ~ meet(X3,X2,X5)
| ~ meet(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity1) ).
cnf(meet_1_and_x,axiom,
meet(n1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_1_and_x) ).
cnf(absorbtion2,axiom,
( meet(X1,X3,X1)
| ~ join(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion2) ).
cnf(meet_0_and_x,axiom,
meet(n0,X1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_0_and_x) ).
cnf(modularity2,axiom,
( meet(X2,X4,X6)
| ~ meet(X1,X2,X1)
| ~ join(X1,X3,X4)
| ~ meet(X3,X2,X5)
| ~ join(X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity2) ).
cnf(meet_c2_and_r1,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
cnf(associativity_of_meet2,axiom,
( meet(X1,X5,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet2) ).
cnf(join_r1_and_d,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
cnf(modularity4,axiom,
( meet(X1,X4,X6)
| ~ meet(X1,X2,X2)
| ~ join(X3,X2,X4)
| ~ meet(X1,X3,X5)
| ~ join(X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity4) ).
cnf(meet_a2_and_b2,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
cnf(c_0_23,axiom,
( meet(X3,X4,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X1,X5,X6) ),
associativity_of_meet1 ).
cnf(c_0_24,negated_conjecture,
meet(a,b,c),
meet_a_and_b ).
cnf(c_0_25,axiom,
( meet(X2,X1,X3)
| ~ meet(X1,X2,X3) ),
commutativity_of_meet ).
cnf(c_0_26,negated_conjecture,
meet(c,r2,n0),
meet_c_and_r2 ).
cnf(c_0_27,negated_conjecture,
meet(r2,b,e),
meet_r2_and_b ).
cnf(c_0_28,negated_conjecture,
( meet(X1,b,X2)
| ~ meet(X3,c,X2)
| ~ meet(X3,a,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
meet(r2,c,n0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,axiom,
( join(X2,X1,X3)
| ~ join(X1,X2,X3) ),
commutativity_of_join ).
cnf(c_0_31,axiom,
join(n0,X1,X1),
join_0_and_x ).
cnf(c_0_32,negated_conjecture,
join(a,b,c2),
join_a_and_b ).
cnf(c_0_33,axiom,
( join(X1,X3,X1)
| ~ meet(X1,X2,X3) ),
absorbtion1 ).
cnf(c_0_34,negated_conjecture,
meet(b,r2,e),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( meet(X1,b,n0)
| ~ meet(r2,a,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
meet(r2,a,d),
meet_r2_and_a ).
cnf(c_0_37,axiom,
( join(X1,X5,X6)
| ~ join(X1,X2,X3)
| ~ join(X2,X4,X5)
| ~ join(X3,X4,X6) ),
associativity_of_join2 ).
cnf(c_0_38,negated_conjecture,
join(r1,e,a2),
join_r1_and_e ).
cnf(c_0_39,axiom,
( join(X3,X4,X6)
| ~ join(X1,X2,X3)
| ~ join(X2,X4,X5)
| ~ join(X1,X5,X6) ),
associativity_of_join1 ).
cnf(c_0_40,plain,
join(X1,n0,X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,axiom,
( join(X1,X5,X6)
| ~ meet(X1,X2,X1)
| ~ join(X1,X3,X4)
| ~ meet(X3,X2,X5)
| ~ meet(X2,X4,X6) ),
modularity1 ).
cnf(c_0_42,axiom,
meet(n1,X1,X1),
meet_1_and_x ).
cnf(c_0_43,axiom,
( meet(X1,X3,X1)
| ~ join(X1,X2,X3) ),
absorbtion2 ).
cnf(c_0_44,negated_conjecture,
join(b,a,c2),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_45,negated_conjecture,
join(b,e,b),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_46,negated_conjecture,
meet(d,b,n0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( join(X1,X2,a2)
| ~ join(X3,e,X2)
| ~ join(X1,X3,r1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
( join(X1,n0,X2)
| ~ join(X3,X4,X2)
| ~ join(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( join(X1,X2,X3)
| ~ meet(X2,X4,X3)
| ~ meet(X1,X2,X1)
| ~ join(X1,n1,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,axiom,
meet(n0,X1,n0),
meet_0_and_x ).
cnf(c_0_51,negated_conjecture,
meet(b,c2,b),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
join(e,b,b),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( meet(X1,a,X2)
| ~ meet(X3,d,X2)
| ~ meet(X3,r2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_36]) ).
cnf(c_0_54,negated_conjecture,
meet(b,d,n0),
inference(spm,[status(thm)],[c_0_25,c_0_46]) ).
cnf(c_0_55,axiom,
( meet(X2,X4,X6)
| ~ meet(X1,X2,X1)
| ~ join(X1,X3,X4)
| ~ meet(X3,X2,X5)
| ~ join(X1,X5,X6) ),
modularity2 ).
cnf(c_0_56,negated_conjecture,
meet(c2,r1,n0),
meet_c2_and_r1 ).
cnf(c_0_57,negated_conjecture,
( join(X1,e,a2)
| ~ join(X1,n0,r1) ),
inference(spm,[status(thm)],[c_0_47,c_0_31]) ).
cnf(c_0_58,plain,
( join(X1,n0,X2)
| ~ join(n0,X2,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_31]) ).
cnf(c_0_59,plain,
( join(n0,X1,X2)
| ~ meet(X1,n1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_31]),c_0_50])]) ).
cnf(c_0_60,negated_conjecture,
( meet(X1,c2,X2)
| ~ meet(X3,b,X2)
| ~ meet(X3,b,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_61,negated_conjecture,
meet(e,b,e),
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( meet(X1,a,n0)
| ~ meet(b,r2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,plain,
( meet(X1,X2,X3)
| ~ meet(X4,X1,n0)
| ~ meet(X3,X1,X3)
| ~ join(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
meet(r1,c2,n0),
inference(spm,[status(thm)],[c_0_25,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( join(e,X1,a2)
| ~ join(X1,n0,r1) ),
inference(spm,[status(thm)],[c_0_30,c_0_57]) ).
cnf(c_0_66,plain,
( join(X1,n0,X2)
| ~ meet(X2,n1,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( meet(X1,c2,e)
| ~ meet(e,b,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,axiom,
( meet(X1,X5,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X3,X4,X6) ),
associativity_of_meet2 ).
cnf(c_0_69,negated_conjecture,
meet(e,a,n0),
inference(spm,[status(thm)],[c_0_62,c_0_34]) ).
cnf(c_0_70,negated_conjecture,
meet(a,c2,a),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_71,negated_conjecture,
( meet(c2,X1,X2)
| ~ meet(X2,c2,X2)
| ~ join(X2,r1,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( join(e,X1,a2)
| ~ meet(r1,n1,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
meet(e,c2,e),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_74,plain,
meet(X1,n1,X1),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_75,negated_conjecture,
meet(a,r2,d),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_76,negated_conjecture,
join(r1,d,b2),
join_r1_and_d ).
cnf(c_0_77,negated_conjecture,
( meet(X1,X2,n0)
| ~ meet(X3,a,X2)
| ~ meet(X1,X3,e) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
meet(c2,a,a),
inference(spm,[status(thm)],[c_0_25,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
meet(c2,a2,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]) ).
cnf(c_0_80,negated_conjecture,
join(a,d,a),
inference(spm,[status(thm)],[c_0_33,c_0_75]) ).
cnf(c_0_81,axiom,
( meet(X1,X4,X6)
| ~ meet(X1,X2,X2)
| ~ join(X3,X2,X4)
| ~ meet(X1,X3,X5)
| ~ join(X2,X5,X6) ),
modularity4 ).
cnf(c_0_82,negated_conjecture,
join(d,r1,b2),
inference(spm,[status(thm)],[c_0_30,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( meet(X1,a,n0)
| ~ meet(X1,c2,e) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
meet(a2,c2,e),
inference(spm,[status(thm)],[c_0_25,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
join(d,a,a),
inference(spm,[status(thm)],[c_0_30,c_0_80]) ).
cnf(c_0_86,negated_conjecture,
( meet(X1,r1,X2)
| ~ meet(X3,n0,X2)
| ~ meet(X3,c2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_56]) ).
cnf(c_0_87,plain,
meet(X1,n0,n0),
inference(spm,[status(thm)],[c_0_25,c_0_50]) ).
cnf(c_0_88,negated_conjecture,
( meet(X1,b2,X2)
| ~ meet(X1,r1,r1)
| ~ meet(X1,d,X3)
| ~ join(r1,X3,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
meet(r1,a2,r1),
inference(spm,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_90,plain,
( meet(X1,X2,n0)
| ~ meet(X1,X3,n0)
| ~ meet(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_50]) ).
cnf(c_0_91,negated_conjecture,
meet(a2,a,n0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,negated_conjecture,
( meet(X1,b2,X2)
| ~ meet(X1,d,d)
| ~ meet(X1,r1,X3)
| ~ join(d,X3,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_76]) ).
cnf(c_0_93,negated_conjecture,
meet(d,a,d),
inference(spm,[status(thm)],[c_0_43,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( meet(X1,r1,n0)
| ~ meet(X2,c2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
~ meet(a2,b2,r1),
meet_a2_and_b2 ).
cnf(c_0_96,negated_conjecture,
( meet(X1,b2,r1)
| ~ meet(X1,r1,r1)
| ~ meet(X1,d,n0) ),
inference(spm,[status(thm)],[c_0_88,c_0_40]) ).
cnf(c_0_97,negated_conjecture,
meet(a2,r1,r1),
inference(spm,[status(thm)],[c_0_25,c_0_89]) ).
cnf(c_0_98,negated_conjecture,
( meet(a2,X1,n0)
| ~ meet(a,X2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_99,negated_conjecture,
( meet(X1,b2,d)
| ~ meet(X1,d,d)
| ~ meet(X1,r1,n0) ),
inference(spm,[status(thm)],[c_0_92,c_0_40]) ).
cnf(c_0_100,negated_conjecture,
meet(a,d,d),
inference(spm,[status(thm)],[c_0_25,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
meet(a,r1,n0),
inference(spm,[status(thm)],[c_0_94,c_0_70]) ).
cnf(c_0_102,negated_conjecture,
~ meet(a2,d,n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101])]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT005-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n014.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:45:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 28.87/17.20 % Version : CSE_E---1.7
% 28.87/17.20 % Problem : theBenchmark.p
% 28.87/17.20 % SZS status Unsatisfiable for theBenchmark.p
% 28.87/17.20 % SZS output start CNFRefutation
% See solution above
% 28.97/17.30 % Total time : 13.395s
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