TSTP Solution File: KRS100+1 by Leo-III-SAT---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS100+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 10:38:17 EDT 2024
% Result : Unsatisfiable 3.36s 1.98s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 89 ( 4 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 213 ( 36 ~; 27 |; 17 &; 118 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 28 !; 5 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(rr_type,type,
rr: $i > $i > $o ).
thf(ce_type,type,
ce: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(i2003_11_14_17_20_32704_type,type,
i2003_11_14_17_20_32704: $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(5,axiom,
cUnsatisfiable @ i2003_11_14_17_20_32704,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(37,plain,
cUnsatisfiable @ i2003_11_14_17_20_32704,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ! [B: $i] :
( ( rr @ A @ B )
=> ( ( ce @ B )
| ~ ( cd @ B ) ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ~ ( ce @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(16,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ! [B: $i] :
( ( rr @ A @ B )
=> ( ( ce @ B )
| ~ ( cd @ B ) ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ~ ( ce @ B ) ) ) )
& ( ( ! [B: $i] :
( ( rr @ A @ B )
=> ( ( ce @ B )
| ~ ( cd @ B ) ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ~ ( ce @ B ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
( ! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ! [B: $i] :
( ( rr @ A @ B )
=> ( ( ce @ B )
| ~ ( cd @ B ) ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ~ ( ce @ B ) ) ) )
& ! [A: $i] :
( ( ! [B: $i] :
( ( rr @ A @ B )
=> ( ( ce @ B )
| ~ ( cd @ B ) ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ~ ( ce @ B ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(miniscope,[status(thm)],[16]) ).
thf(23,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rr @ A @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[17]) ).
thf(42,plain,
! [A: $i] :
( ( rr @ A @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_32704 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[37,23]) ).
thf(43,plain,
rr @ i2003_11_14_17_20_32704 @ ( sk1 @ i2003_11_14_17_20_32704 ),
inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( i2003_11_14_17_20_32704 ))]]) ).
thf(20,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ B )
| ( cd @ B ) ),
inference(cnf,[status(esa)],[17]) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ B )
| ( cd @ B ) ),
inference(simp,[status(thm)],[20]) ).
thf(82,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cd @ B )
| ( ( rr @ i2003_11_14_17_20_32704 @ ( sk1 @ i2003_11_14_17_20_32704 ) )
!= ( rr @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[43,28]) ).
thf(83,plain,
( ~ ( cUnsatisfiable @ i2003_11_14_17_20_32704 )
| ( cd @ ( sk1 @ i2003_11_14_17_20_32704 ) ) ),
inference(pattern_uni,[status(thm)],[82:[bind(A,$thf( i2003_11_14_17_20_32704 )),bind(B,$thf( sk1 @ i2003_11_14_17_20_32704 ))]]) ).
thf(21,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ B )
| ( ce @ B )
| ~ ( cd @ B ) ),
inference(cnf,[status(esa)],[17]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( ce @ B )
| ~ ( cd @ B )
| ( ( rr @ i2003_11_14_17_20_32704 @ ( sk1 @ i2003_11_14_17_20_32704 ) )
!= ( rr @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[43,21]) ).
thf(51,plain,
( ~ ( cUnsatisfiable @ i2003_11_14_17_20_32704 )
| ( ce @ ( sk1 @ i2003_11_14_17_20_32704 ) )
| ~ ( cd @ ( sk1 @ i2003_11_14_17_20_32704 ) ) ),
inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( i2003_11_14_17_20_32704 )),bind(B,$thf( sk1 @ i2003_11_14_17_20_32704 ))]]) ).
thf(27,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( ce @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[17]) ).
thf(38,plain,
! [A: $i] :
( ~ ( ce @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_32704 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[37,27]) ).
thf(39,plain,
~ ( ce @ ( sk1 @ i2003_11_14_17_20_32704 ) ),
inference(pattern_uni,[status(thm)],[38:[bind(A,$thf( i2003_11_14_17_20_32704 ))]]) ).
thf(52,plain,
( ~ $true
| $false
| ~ ( cd @ ( sk1 @ i2003_11_14_17_20_32704 ) ) ),
inference(rewrite,[status(thm)],[51,37,39]) ).
thf(53,plain,
~ ( cd @ ( sk1 @ i2003_11_14_17_20_32704 ) ),
inference(simp,[status(thm)],[52]) ).
thf(95,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[83,37,53]) ).
thf(96,plain,
$false,
inference(simp,[status(thm)],[95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS100+1 : TPTP v8.1.2. Released v3.1.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n019.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 22:55:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.98 % [INFO] Parsing done (106ms).
% 1.22/0.99 % [INFO] Running in sequential loop mode.
% 1.68/1.27 % [INFO] nitpick registered as external prover.
% 1.68/1.28 % [INFO] Scanning for conjecture ...
% 1.68/1.30 % [INFO] 5 axioms and no conjecture found.
% 1.85/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 1.85/1.35 % [INFO] Type checking passed.
% 1.85/1.35 % [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 ...
% 3.36/1.98 % [INFO] Killing All external provers ...
% 3.36/1.98 % Time passed: 1457ms (effective reasoning time: 989ms)
% 3.36/1.98 % Axioms used in derivation (2): axiom_4, axiom_2
% 3.36/1.98 % No. of inferences in proof: 22
% 3.36/1.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1457 ms resp. 989 ms w/o parsing
% 3.52/2.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.52/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------