%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT028-1 : 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 : n028.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 1.33s 1.75s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 3 RR)
% Number of literals : 37 ( 36 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_1,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_1) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',commutativity_of_meet) ).
cnf(wal_2_2,axiom,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_2_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(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(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_meet) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(wal_1_2,axiom,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_1_2) ).
cnf(commutativity_of_meet2,axiom,
meet2(X1,X2) = meet2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet2) ).
cnf(name,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',name) ).
cnf(c_0_10,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
wal_1 ).
cnf(c_0_11,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_12,axiom,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
wal_2_2 ).
cnf(c_0_13,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_14,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
wal_2 ).
cnf(c_0_15,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_17,plain,
join(X1,join(meet2(X2,X1),meet2(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_19,axiom,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
wal_1_2 ).
cnf(c_0_20,axiom,
meet2(X1,X2) = meet2(X2,X1),
commutativity_of_meet2 ).
cnf(c_0_21,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_22,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
join(X1,meet2(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
meet2(X1,meet2(join(X2,X1),join(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_26,plain,
meet(X1,meet2(X2,X1)) = meet2(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_11]) ).
cnf(c_0_27,plain,
meet2(meet(X1,X2),meet2(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_29,plain,
meet(X1,meet2(X1,X2)) = meet2(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_30,plain,
meet2(meet2(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20]) ).
cnf(c_0_31,plain,
meet(meet2(X1,X2),meet(X2,join(X3,meet2(X1,X2)))) = meet2(X1,X2),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_32,plain,
join(X1,meet2(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_33,plain,
meet(meet2(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
meet(a,b) != meet2(a,b),
name ).
cnf(c_0_35,plain,
meet(X1,X2) = meet2(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT028-1 : TPTP v9.2.1. Released v2.2.0.
% 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
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 4 20:47:45 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 1.33/1.75 % Version : CSE_E---1.7
% 1.33/1.75 % Problem : theBenchmark.p
% 1.33/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.33/1.75 % SZS output start CNFRefutation
% See solution above
% 1.33/1.75 % Total time : 1.372s
%------------------------------------------------------------------------------