TSTP Solution File: SYN393+1.003 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN393+1.003 : 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 : n031.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 01:51:34 EDT 2023
% Result : Theorem 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 292 ( 0 equ)
% Maximal formula atoms : 192 ( 10 avg)
% Number of connectives : 404 ( 141 ~; 222 |; 31 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p1: $o ).
tff(decl_23,type,
p2: $o ).
tff(decl_24,type,
p3: $o ).
fof(pel12,conjecture,
( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel12) ).
fof(c_0_1,negated_conjecture,
~ ( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
inference(assume_negation,[status(cth)],[pel12]) ).
fof(c_0_2,negated_conjecture,
( ( ~ p2
| ~ p3
| ~ p1
| ~ p1
| ~ p2
| ~ p3 )
& ( p2
| p3
| ~ p1
| ~ p1
| ~ p2
| ~ p3 )
& ( ~ p2
| p3
| p1
| ~ p1
| ~ p2
| ~ p3 )
& ( ~ p3
| p2
| p1
| ~ p1
| ~ p2
| ~ p3 )
& ( ~ p2
| ~ p3
| ~ p1
| p1
| p2
| ~ p3 )
& ( p2
| p3
| ~ p1
| p1
| p2
| ~ p3 )
& ( ~ p2
| p3
| p1
| p1
| p2
| ~ p3 )
& ( ~ p3
| p2
| p1
| p1
| p2
| ~ p3 )
& ( ~ p2
| ~ p3
| ~ p1
| ~ p1
| p2
| p3 )
& ( p2
| p3
| ~ p1
| ~ p1
| p2
| p3 )
& ( ~ p2
| p3
| p1
| ~ p1
| p2
| p3 )
& ( ~ p3
| p2
| p1
| ~ p1
| p2
| p3 )
& ( ~ p2
| ~ p3
| ~ p1
| ~ p2
| p1
| p3 )
& ( p2
| p3
| ~ p1
| ~ p2
| p1
| p3 )
& ( ~ p2
| p3
| p1
| ~ p2
| p1
| p3 )
& ( ~ p3
| p2
| p1
| ~ p2
| p1
| p3 )
& ( ~ p2
| p3
| ~ p1
| ~ p1
| ~ p2
| p3 )
& ( ~ p3
| p2
| ~ p1
| ~ p1
| ~ p2
| p3 )
& ( ~ p2
| ~ p3
| p1
| ~ p1
| ~ p2
| p3 )
& ( p2
| p3
| p1
| ~ p1
| ~ p2
| p3 )
& ( ~ p2
| p3
| ~ p1
| p1
| p2
| p3 )
& ( ~ p3
| p2
| ~ p1
| p1
| p2
| p3 )
& ( ~ p2
| ~ p3
| p1
| p1
| p2
| p3 )
& ( p2
| p3
| p1
| p1
| p2
| p3 )
& ( ~ p2
| p3
| ~ p1
| ~ p1
| p2
| ~ p3 )
& ( ~ p3
| p2
| ~ p1
| ~ p1
| p2
| ~ p3 )
& ( ~ p2
| ~ p3
| p1
| ~ p1
| p2
| ~ p3 )
& ( p2
| p3
| p1
| ~ p1
| p2
| ~ p3 )
& ( ~ p2
| p3
| ~ p1
| ~ p2
| p1
| ~ p3 )
& ( ~ p3
| p2
| ~ p1
| ~ p2
| p1
| ~ p3 )
& ( ~ p2
| ~ p3
| p1
| ~ p2
| p1
| ~ p3 )
& ( p2
| p3
| p1
| ~ p2
| p1
| ~ p3 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).
cnf(c_0_3,negated_conjecture,
( p2
| p2
| ~ p3
| ~ p1
| ~ p1
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( ~ p2
| ~ p3
| ~ p1
| ~ p1
| ~ p2
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( p3
| p3
| ~ p2
| ~ p1
| ~ p1
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( p2
| ~ p1
| ~ p3 ),
inference(cn,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ p1
| ~ p2
| ~ p3 ),
inference(cn,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( p2
| p1
| p1
| p2
| ~ p3
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( p2
| p3
| p1
| p1
| p2
| p3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( p1
| p1
| ~ p2
| ~ p3
| ~ p2
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( p3
| ~ p1
| ~ p2 ),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ p3
| ~ p1 ),
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( p3
| p1
| p1
| p3
| ~ p2
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( p1
| p2
| ~ p3 ),
inference(cn,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( p1
| p2
| p3 ),
inference(cn,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( p1
| ~ p2
| ~ p3 ),
inference(cn,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( ~ p2
| ~ p1 ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( p1
| p3
| ~ p2 ),
inference(cn,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( p2
| p1 ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ p3
| ~ p2 ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p2
| p3
| p2
| p3
| ~ p1
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,negated_conjecture,
( p3
| p1 ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ p3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p2
| p3
| ~ p1 ),
inference(cn,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
p1,
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p3
| p2 ),
inference(csr,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
~ p2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_23]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 19:38:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 0.22/0.60 % Version : CSE_E---1.5
% 0.22/0.60 % Problem : theBenchmark.p
% 0.22/0.60 % Proof found
% 0.22/0.60 % SZS status Theorem for theBenchmark.p
% 0.22/0.60 % SZS output start Proof
% See solution above
% 0.22/0.60 % Total time : 0.004000 s
% 0.22/0.60 % SZS output end Proof
% 0.22/0.60 % Total time : 0.006000 s
%------------------------------------------------------------------------------