%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL079-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n021.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 04:39:21 PM UTC 2026
% Result : Unsatisfiable 0.27s 1.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 17 unt; 0 nHn; 11 RR)
% Number of literals : 29 ( 0 equ; 10 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
cnf(cn_49_reversed,axiom,
is_a_theorem(implies(implies(X1,X2),implies(not(X2),not(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49_reversed) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(prove_transitivity,negated_conjecture,
~ is_a_theorem(implies(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(b_implies_c,hypothesis,
is_a_theorem(implies(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_implies_c) ).
cnf(a_implies_b,hypothesis,
is_a_theorem(implies(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_implies_b) ).
cnf(i_0_7,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
cn_35,
[final] ).
cnf(i_0_8,axiom,
is_a_theorem(implies(implies(X1,X2),implies(not(X2),not(X1)))),
cn_49_reversed,
[final] ).
cnf(i_0_9,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
cn_18,
[final] ).
cnf(i_0_10,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment,
[final] ).
cnf(i_0_11,negated_conjecture,
~ is_a_theorem(implies(a,c)),
prove_transitivity,
[final] ).
cnf(i_0_12,hypothesis,
is_a_theorem(implies(b,c)),
b_implies_c,
[final] ).
cnf(i_0_13,hypothesis,
is_a_theorem(implies(a,b)),
a_implies_b,
[final] ).
cnf(i_0_14,plain,
is_a_theorem(implies(X1,implies(b,c))),
inference(scs_inference,[],[i_0_12,i_0_9,i_0_10]) ).
cnf(i_0_15,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_16,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_17,plain,
is_a_theorem(implies(implies(X1,b),implies(X1,c))),
inference(scs_inference,[],[i_0_14,i_0_7,i_0_10]) ).
cnf(i_0_18,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_19,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_20,plain,
$false,
inference(scs_inference,[],[i_0_11,i_0_17,i_0_13,i_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL079-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n021.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 21:58:10 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.27/1.62 % Version : CSE_E---1.7
% 0.27/1.62 % Problem : theBenchmark.p
% 0.27/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.62 % SZS output start CNFRefutation
% See solution above
% 0.27/1.64 % Total time : 1.270s
%------------------------------------------------------------------------------