TSTP Solution File: KRS091+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS091+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 7 10:38:16 EDT 2024
% Result : Unsatisfiable 2.56s 1.60s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 44 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 11 ~; 6 |; 7 &; 39 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(i2003_11_14_17_20_00819_type,type,
i2003_11_14_17_20_00819: $i ).
thf(9,axiom,
cUnsatisfiable @ i2003_11_14_17_20_00819,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(36,plain,
cUnsatisfiable @ i2003_11_14_17_20_00819,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ( cd @ A )
& ( cc @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(20,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ( cd @ A )
& ( cc @ A ) ) )
& ( ( ( cd @ A )
& ( cc @ A ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(21,plain,
( ! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ( cd @ A )
& ( cc @ A ) ) )
& ! [A: $i] :
( ( ( cd @ A )
& ( cc @ A ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(miniscope,[status(thm)],[20]) ).
thf(24,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cc @ A ) ),
inference(cnf,[status(esa)],[21]) ).
thf(47,plain,
! [A: $i] :
( ( cc @ A )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_00819 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[36,24]) ).
thf(48,plain,
cc @ i2003_11_14_17_20_00819,
inference(pattern_uni,[status(thm)],[47:[bind(A,$thf( i2003_11_14_17_20_00819 ))]]) ).
thf(23,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cd @ A ) ),
inference(cnf,[status(esa)],[21]) ).
thf(41,plain,
! [A: $i] :
( ( cd @ A )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_00819 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[36,23]) ).
thf(42,plain,
cd @ i2003_11_14_17_20_00819,
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( i2003_11_14_17_20_00819 ))]]) ).
thf(4,axiom,
! [A: $i] :
( ( cc @ A )
=> ~ ( cd @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(26,plain,
! [A: $i] :
( ( cc @ A )
=> ~ ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(27,plain,
! [A: $i] :
( ~ ( cc @ A )
| ~ ( cd @ A ) ),
inference(cnf,[status(esa)],[26]) ).
thf(43,plain,
! [A: $i] :
( ~ ( cc @ A )
| ( ( cd @ i2003_11_14_17_20_00819 )
!= ( cd @ A ) ) ),
inference(paramod_ordered,[status(thm)],[42,27]) ).
thf(44,plain,
~ ( cc @ i2003_11_14_17_20_00819 ),
inference(pattern_uni,[status(thm)],[43:[bind(A,$thf( i2003_11_14_17_20_00819 ))]]) ).
thf(51,plain,
$false,
inference(rewrite,[status(thm)],[48,44]) ).
thf(52,plain,
$false,
inference(simp,[status(thm)],[51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS091+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 22:55:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (103ms).
% 1.20/0.96 % [INFO] Running in sequential loop mode.
% 1.43/1.15 % [INFO] nitpick registered as external prover.
% 1.43/1.16 % [INFO] Scanning for conjecture ...
% 1.67/1.18 % [INFO] 9 axioms and no conjecture found.
% 1.75/1.21 % [INFO] Problem is first-order (TPTP FOF).
% 1.75/1.22 % [INFO] Type checking passed.
% 1.75/1.22 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.56/1.59 % [INFO] Killing All external provers ...
% 2.56/1.59 % Time passed: 1064ms (effective reasoning time: 631ms)
% 2.56/1.60 % Axioms used in derivation (3): axiom_8, axiom_2, axiom_3
% 2.56/1.60 % No. of inferences in proof: 18
% 2.56/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1064 ms resp. 631 ms w/o parsing
% 2.56/1.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.56/1.62 % [INFO] Killing All external provers ...
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