%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL414-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n024.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 04:40:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 1.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 15 unt; 0 nHn; 9 RR)
% Number of literals : 30 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm147_3,negated_conjecture,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_3) ).
cnf(thm147_4,negated_conjecture,
a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_4) ).
cnf(thm147_2,negated_conjecture,
a_truth(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_2) ).
cnf(thm147_1,negated_conjecture,
( a_truth(X1)
| ~ a_truth(X2)
| ~ a_truth(implies(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_1) ).
cnf(thm147_5,negated_conjecture,
~ a_truth(implies(sk1,sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_5) ).
cnf(i_0_5,negated_conjecture,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
thm147_3,
[final] ).
cnf(i_0_6,negated_conjecture,
a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1))),
thm147_4,
[final] ).
cnf(i_0_7,negated_conjecture,
a_truth(implies(X1,implies(X2,X1))),
thm147_2,
[final] ).
cnf(i_0_8,negated_conjecture,
( a_truth(X1)
| ~ a_truth(X2)
| ~ a_truth(implies(X2,X1)) ),
thm147_1,
[final] ).
cnf(i_0_9,negated_conjecture,
~ a_truth(implies(sk1,sk1)),
thm147_5,
[final] ).
cnf(i_0_10,plain,
~ a_truth(implies(not(sk1),not(sk1))),
inference(scs_inference,[],[i_0_9,i_0_6,i_0_8]) ).
cnf(i_0_11,plain,
a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1))),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_12,plain,
( ~ a_truth(implies(X1,X2))
| a_truth(X2)
| ~ a_truth(X1) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_13,plain,
a_truth(implies(implies(X1,X2),implies(X1,X1))),
inference(scs_inference,[],[i_0_5,i_0_7,i_0_8]) ).
cnf(i_0_14,plain,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_15,plain,
( ~ a_truth(implies(X1,X2))
| a_truth(X2)
| ~ a_truth(X1) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_16,plain,
a_truth(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X1))),
inference(scs_inference,[],[i_0_5,i_0_13,i_0_8]) ).
cnf(i_0_17,plain,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_18,plain,
( ~ a_truth(implies(X1,X2))
| a_truth(X2)
| ~ a_truth(X1) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_19,plain,
$false,
inference(scs_inference,[],[i_0_10,i_0_13,i_0_7,i_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL414-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.08/0.24 % Computer : n024.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8042.1875MB
% 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Mon May 4 17:32:11 EDT 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.25 % start to proof: theBenchmark
% 0.13/1.51 % Version : CSE_E---1.7
% 0.13/1.51 % Problem : theBenchmark.p
% 0.13/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/1.51 % SZS output start CNFRefutation
% See solution above
% 0.13/1.52 % Total time : 1.261s
%------------------------------------------------------------------------------