%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN079+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n002.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 05:36:05 PM UTC 2026
% Result : Theorem 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel57,conjecture,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57) ).
fof(pel57_3,axiom,
! [X1,X2,X3] :
( ( big_f(X1,X2)
& big_f(X2,X3) )
=> big_f(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_3) ).
fof(pel57_2,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_2) ).
fof(pel57_1,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_1) ).
fof(i_0_4,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel57])]) ).
fof(i_0_5,plain,
! [X7,X8,X9] :
( ~ big_f(X7,X8)
| ~ big_f(X8,X9)
| big_f(X7,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel57_3])]) ).
cnf(i_0_6,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(split_conjunct,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_7,plain,
( big_f(X1,X3)
| ~ big_f(X1,X2)
| ~ big_f(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_8,plain,
big_f(f(b,c),f(a,c)),
inference(split_conjunct,[status(thm)],[pel57_2]),
[final] ).
cnf(i_0_9,plain,
big_f(f(a,b),f(b,c)),
inference(split_conjunct,[status(thm)],[pel57_1]),
[final] ).
cnf(i_0_10,plain,
$false,
inference(scs_inference,[],[i_0_6,i_0_9,i_0_8,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN079+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.16/0.33 % Computer : n002.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:11:46 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.26/1.62 % Version : CSE_E---1.7
% 0.26/1.62 % Problem : theBenchmark.p
% 0.26/1.62 % SZS status Theorem for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% See solution above
% 0.26/1.63 % Total time : 1.272s
%------------------------------------------------------------------------------