TSTP Solution File: SYN060+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 : Fri Sep 1 01:49:24 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 11 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: $i > $o ).
tff(decl_23,type,
big_g: $i > $o ).
tff(decl_24,type,
big_h: $i > $o ).
tff(decl_25,type,
big_i: $i > $o ).
tff(decl_26,type,
esk1_0: $i ).
fof(pel30,conjecture,
! [X1] : big_i(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel30) ).
fof(pel30_2,axiom,
! [X1] :
( ( big_g(X1)
=> ~ big_i(X1) )
=> ( big_f(X1)
& big_h(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel30_2) ).
fof(pel30_1,axiom,
! [X1] :
( ( big_f(X1)
| big_g(X1) )
=> ~ big_h(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel30_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] : big_i(X1),
inference(assume_negation,[status(cth)],[pel30]) ).
fof(c_0_4,plain,
! [X1] :
( ( big_g(X1)
=> ~ big_i(X1) )
=> ( big_f(X1)
& big_h(X1) ) ),
inference(fof_simplification,[status(thm)],[pel30_2]) ).
fof(c_0_5,plain,
! [X1] :
( ( big_f(X1)
| big_g(X1) )
=> ~ big_h(X1) ),
inference(fof_simplification,[status(thm)],[pel30_1]) ).
fof(c_0_6,negated_conjecture,
~ big_i(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_7,plain,
! [X3] :
( ( big_f(X3)
| big_g(X3) )
& ( big_h(X3)
| big_g(X3) )
& ( big_f(X3)
| big_i(X3) )
& ( big_h(X3)
| big_i(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X2] :
( ( ~ big_f(X2)
| ~ big_h(X2) )
& ( ~ big_g(X2)
| ~ big_h(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,negated_conjecture,
~ big_i(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( big_f(X1)
| big_i(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ big_f(X1)
| ~ big_h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
big_f(esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( big_h(X1)
| big_i(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
~ big_h(esk1_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 21:09:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.005000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.008000 s
%------------------------------------------------------------------------------