%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : REL003-1 : TPTP v9.2.1. Released v4.0.0.
% 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 : n018.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 05:04:09 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.71s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 8 unt; 4 nHn; 10 RR)
% Number of literals : 24 ( 23 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goals_14,negated_conjecture,
( join(sk1,sk2) = sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(goals_17,negated_conjecture,
( join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) != converse(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_0_5,negated_conjecture,
( join(sk1,sk2) = sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
goals_14 ).
cnf(c_0_6,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_7,negated_conjecture,
( join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) != converse(sk2) ),
goals_17 ).
cnf(c_0_8,negated_conjecture,
( join(converse(sk2),converse(sk1)) = converse(sk2)
| join(sk2,sk1) = sk2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_10,negated_conjecture,
( join(converse(sk2),converse(sk1)) != converse(sk2)
| join(sk2,sk1) != sk2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6]),c_0_6]) ).
cnf(c_0_11,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_12,negated_conjecture,
( converse(join(sk2,sk1)) = converse(sk2)
| join(sk2,sk1) = sk2 ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( converse(join(sk2,sk1)) != converse(sk2)
| join(sk2,sk1) != sk2 ),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
join(sk2,sk1) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL003-1 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.14/0.33 % Computer : n018.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 : Tue May 5 01:41:47 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.22/1.71 % Version : CSE_E---1.7
% 1.22/1.71 % Problem : theBenchmark.p
% 1.22/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.71 % SZS output start CNFRefutation
% See solution above
% 1.22/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------