%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT089-1 : TPTP v9.2.1. Released v2.6.0.
% 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 : n004.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 04:37:30 PM UTC 2026
% Result : Unsatisfiable 1.14s 1.79s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 3 RR)
% Number of literals : 39 ( 38 equ; 2 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 23 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_2,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_2) ).
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,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
wal_absorbtion_3 ).
cnf(c_0_18,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_19,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_18]) ).
cnf(c_0_21,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_22,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12]) ).
cnf(c_0_23,plain,
join(X1,meet(X1,join(meet(join(X1,X2),join(X3,X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_24,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_12]),c_0_18]) ).
cnf(c_0_25,plain,
join(X1,meet(X1,join(meet(X1,join(X2,X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_26,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_10,c_0_24]) ).
cnf(c_0_27,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_28,plain,
meet(X1,join(meet(X1,join(X2,X1)),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_25]),c_0_26]),c_0_12]),c_0_27]),c_0_26]),c_0_27]),c_0_18]),c_0_26]) ).
cnf(c_0_29,plain,
join(meet(X1,join(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_28]),c_0_14]) ).
cnf(c_0_30,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_29]),c_0_27]),c_0_27]),c_0_18]) ).
cnf(c_0_31,plain,
join(join(X1,X2),X2) = join(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_30]) ).
cnf(c_0_32,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_14,c_0_31]) ).
cnf(c_0_33,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_32]),c_0_18]) ).
cnf(c_0_34,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_35,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
meet(b,a) != meet(a,b),
prove_normal_axioms_2 ).
cnf(c_0_37,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_35]),c_0_35]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.17 % Problem : LAT089-1 : TPTP v9.2.1. Released v2.6.0.
% 0.06/0.17 % 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
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8042.1875MB
% 0.11/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon May 4 20:50:32 EDT 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % start to proof: theBenchmark
% 1.14/1.79 % Version : CSE_E---1.7
% 1.14/1.79 % Problem : theBenchmark.p
% 1.14/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 1.14/1.79 % SZS output start CNFRefutation
% See solution above
% 1.18/1.80 % Total time : 1.385s
%------------------------------------------------------------------------------