%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT029-1 : TPTP v9.2.1. Released v2.2.0.
% 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 : n008.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 1.30s 1.74s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 54 ( 50 unt; 0 nHn; 6 RR)
% Number of literals : 63 ( 62 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
cnf(wal_absorbtion_1,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
cnf(wal_absorbtion_2,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
cnf(wal_absorbtion_3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
cnf(prove_normal_axioms,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
cnf(c_0_6,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
wal_absorbtion_4 ).
cnf(c_0_7,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
wal_absorbtion_5 ).
cnf(c_0_8,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
wal_absorbtion_1 ).
cnf(c_0_10,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
wal_absorbtion_2 ).
cnf(c_0_12,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_6]) ).
cnf(c_0_13,plain,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_14,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_15,plain,
meet(join(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_16,plain,
join(X1,join(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_17,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]) ).
cnf(c_0_18,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_17]) ).
cnf(c_0_19,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
wal_absorbtion_3 ).
cnf(c_0_20,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_18]),c_0_12]) ).
cnf(c_0_21,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_22,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_20]),c_0_17]) ).
cnf(c_0_23,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_18]),c_0_18]) ).
cnf(c_0_24,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_25,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_24]) ).
cnf(c_0_26,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_27,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_28,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_28]),c_0_14]),c_0_28]),c_0_17]) ).
cnf(c_0_30,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_29]),c_0_17]) ).
cnf(c_0_31,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_32,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_23]) ).
cnf(c_0_33,plain,
join(meet(X1,meet(X1,meet(X2,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_34,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_35,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_36,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_23]),c_0_23]) ).
cnf(c_0_37,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_30]) ).
cnf(c_0_38,plain,
meet(meet(X1,join(X2,join(meet(X1,X3),meet(X4,X1)))),join(meet(X1,X3),meet(X4,X1))) = join(meet(X1,X3),meet(X4,X1)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_39,plain,
join(X1,join(meet(X2,X1),meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_41,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b) ),
prove_normal_axioms ).
cnf(c_0_44,plain,
meet(X1,meet(join(X1,X2),join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_6]) ).
cnf(c_0_45,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| join(a,a) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_12])]) ).
cnf(c_0_47,plain,
join(join(X1,meet(X2,meet(join(X1,X3),join(X4,X1)))),meet(join(X1,X3),join(X4,X1))) = meet(join(X1,X3),join(X4,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_48,plain,
meet(X1,meet(join(X2,X1),join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_17])]) ).
cnf(c_0_50,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_31]) ).
cnf(c_0_51,negated_conjecture,
join(b,a) != join(a,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_45])]) ).
cnf(c_0_52,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_50]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT029-1 : TPTP v9.2.1. Released v2.2.0.
% 0.00/0.12 % 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
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 20:47:28 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.30/1.74 % Version : CSE_E---1.7
% 1.30/1.74 % Problem : theBenchmark.p
% 1.30/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.74 % SZS output start CNFRefutation
% See solution above
% 1.30/1.74 % Total time : 1.368s
%------------------------------------------------------------------------------