TSTP Solution File: KRS123+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS123+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %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 7 10:38:21 EDT 2024
% Result : Unsatisfiable 4.05s 1.90s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 79 ( 5 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 151 ( 22 ~; 10 |; 11 &; 91 @)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 ^ 29 !; 10 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(cdxcomp_type,type,
cdxcomp: $i > $o ).
thf(ra_Px1_type,type,
ra_Px1: $i > $i > $o ).
thf(i2003_11_14_17_22_02803_type,type,
i2003_11_14_17_22_02803: $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(8,axiom,
! [A: $i] :
( ( cdxcomp @ A )
<=> ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(41,plain,
! [A: $i] :
( ( ( cdxcomp @ A )
=> ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cdxcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(42,plain,
( ! [A: $i] :
( ( cdxcomp @ A )
=> ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ! [A: $i] :
( ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cdxcomp @ A ) ) ),
inference(miniscope,[status(thm)],[41]) ).
thf(44,plain,
! [A: $i] :
( ~ ( cdxcomp @ A )
| ( ra_Px1 @ A @ ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[42]) ).
thf(13,axiom,
cUnsatisfiable @ i2003_11_14_17_22_02803,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(60,plain,
cUnsatisfiable @ i2003_11_14_17_22_02803,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ( cc @ A )
& ( cd @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(24,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ( cc @ A )
& ( cd @ A ) ) )
& ( ( ( cc @ A )
& ( cd @ A ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(25,plain,
( ! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ( cc @ A )
& ( cd @ A ) ) )
& ! [A: $i] :
( ( ( cc @ A )
& ( cd @ A ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(miniscope,[status(thm)],[24]) ).
thf(28,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cd @ A ) ),
inference(cnf,[status(esa)],[25]) ).
thf(65,plain,
! [A: $i] :
( ( cd @ A )
| ( ( cUnsatisfiable @ i2003_11_14_17_22_02803 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[60,28]) ).
thf(66,plain,
cd @ i2003_11_14_17_22_02803,
inference(pattern_uni,[status(thm)],[65:[bind(A,$thf( i2003_11_14_17_22_02803 ))]]) ).
thf(7,axiom,
! [A: $i] :
( ( cd @ A )
<=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(36,plain,
! [A: $i] :
( ( ( cd @ A )
=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cd @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,plain,
( ! [A: $i] :
( ( cd @ A )
=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ! [A: $i] :
( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cd @ A ) ) ),
inference(miniscope,[status(thm)],[36]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( cd @ A )
| ~ ( ra_Px1 @ A @ B ) ),
inference(cnf,[status(esa)],[37]) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( ra_Px1 @ A @ B )
| ( ( cd @ i2003_11_14_17_22_02803 )
!= ( cd @ A ) ) ),
inference(paramod_ordered,[status(thm)],[66,39]) ).
thf(71,plain,
! [A: $i] :
~ ( ra_Px1 @ i2003_11_14_17_22_02803 @ A ),
inference(pattern_uni,[status(thm)],[70:[bind(A,$thf( i2003_11_14_17_22_02803 ))]]) ).
thf(72,plain,
! [A: $i] :
~ ( ra_Px1 @ i2003_11_14_17_22_02803 @ A ),
inference(simp,[status(thm)],[71]) ).
thf(111,plain,
! [B: $i,A: $i] :
( ~ ( cdxcomp @ A )
| ( ( ra_Px1 @ A @ ( sk2 @ A ) )
!= ( ra_Px1 @ i2003_11_14_17_22_02803 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[44,72]) ).
thf(112,plain,
~ ( cdxcomp @ i2003_11_14_17_22_02803 ),
inference(pattern_uni,[status(thm)],[111:[bind(A,$thf( i2003_11_14_17_22_02803 )),bind(B,$thf( sk2 @ i2003_11_14_17_22_02803 ))]]) ).
thf(27,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cc @ A ) ),
inference(cnf,[status(esa)],[25]) ).
thf(63,plain,
! [A: $i] :
( ( cc @ A )
| ( ( cUnsatisfiable @ i2003_11_14_17_22_02803 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[60,27]) ).
thf(64,plain,
cc @ i2003_11_14_17_22_02803,
inference(pattern_uni,[status(thm)],[63:[bind(A,$thf( i2003_11_14_17_22_02803 ))]]) ).
thf(4,axiom,
! [A: $i] :
( ( cc @ A )
=> ( cdxcomp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(30,plain,
! [A: $i] :
( ( cc @ A )
=> ( cdxcomp @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,plain,
! [A: $i] :
( ~ ( cc @ A )
| ( cdxcomp @ A ) ),
inference(cnf,[status(esa)],[30]) ).
thf(73,plain,
! [A: $i] :
( ( cdxcomp @ A )
| ( ( cc @ i2003_11_14_17_22_02803 )
!= ( cc @ A ) ) ),
inference(paramod_ordered,[status(thm)],[64,31]) ).
thf(74,plain,
cdxcomp @ i2003_11_14_17_22_02803,
inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( i2003_11_14_17_22_02803 ))]]) ).
thf(135,plain,
~ $true,
inference(rewrite,[status(thm)],[112,74]) ).
thf(136,plain,
$false,
inference(simp,[status(thm)],[135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS123+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n002.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 6 22:52:24 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.88/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.93 % [INFO] Parsing done (105ms).
% 1.25/0.94 % [INFO] Running in sequential loop mode.
% 1.50/1.13 % [INFO] nitpick registered as external prover.
% 1.50/1.13 % [INFO] Scanning for conjecture ...
% 1.50/1.15 % [INFO] 13 axioms and no conjecture found.
% 1.78/1.19 % [INFO] Problem is first-order (TPTP FOF).
% 1.78/1.20 % [INFO] Type checking passed.
% 1.78/1.20 % [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 ...
% 4.05/1.90 % [INFO] Killing All external provers ...
% 4.05/1.90 % Time passed: 1377ms (effective reasoning time: 958ms)
% 4.05/1.90 % Axioms used in derivation (5): axiom_7, axiom_2, axiom_6, axiom_3, axiom_12
% 4.05/1.90 % No. of inferences in proof: 31
% 4.05/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1377 ms resp. 958 ms w/o parsing
% 4.05/1.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.05/1.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------