TSTP Solution File: CSR149^1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR149^1 : TPTP v8.1.2. Released v4.1.0.
% 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 07:39:00 EDT 2024
% Result : Theorem 3.80s 1.88s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 52 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 116 ( 18 ~; 3 |; 0 &; 92 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 ^ 26 !; 6 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(8,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(11,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(9,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(cnf,[status(esa)],[9]) ).
thf(1,conjecture,
? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [B: $i,A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(cnf,[status(esa)],[6]) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ C ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ),
inference(paramod_ordered,[status(thm)],[10,7]) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ C ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[13]) ).
thf(18,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[16]) ).
thf(21,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> $false ) ),
inference(rewrite,[status(thm)],[11,18]) ).
thf(22,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[21]) ).
thf(20,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ),
inference(rewrite,[status(thm)],[7,18]) ).
thf(25,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ),
inference(simp,[status(thm)],[20]) ).
thf(28,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ) ),
inference(paramod_ordered,[status(thm)],[22,25]) ).
thf(30,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ A ) )
| ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[28]) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ A ) ) ),
inference(cnf,[status(esa)],[30]) ).
thf(39,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
inference(pattern_uni,[status(thm)],[32:[bind(A,$thf( n2009_THFTYPE_i ))]]) ).
thf(43,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
inference(simp,[status(thm)],[39]) ).
thf(47,plain,
$false,
inference(rewrite,[status(thm)],[8,43]) ).
thf(48,plain,
$false,
inference(simp,[status(thm)],[47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR149^1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 15:47:54 EDT 2024
% 0.23/0.37 % CPUTime :
% 0.93/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/0.98 % [INFO] Parsing done (115ms).
% 1.30/0.99 % [INFO] Running in sequential loop mode.
% 1.72/1.20 % [INFO] eprover registered as external prover.
% 1.72/1.21 % [INFO] cvc4 registered as external prover.
% 1.72/1.21 % [INFO] Scanning for conjecture ...
% 1.90/1.26 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.90/1.29 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.90/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.90/1.29 % [INFO] Type checking passed.
% 1.90/1.30 % [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 ...
% 3.80/1.87 % [INFO] Killing All external provers ...
% 3.80/1.88 % Time passed: 1344ms (effective reasoning time: 888ms)
% 3.80/1.88 % Solved by 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)>
% 3.80/1.88 % Axioms used in derivation (3): ax, ax_002, ax_001
% 3.80/1.88 % No. of inferences in proof: 25
% 3.80/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1344 ms resp. 888 ms w/o parsing
% 3.80/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.80/1.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------