TSTP Solution File: CSR126^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR126^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 07:38:52 EDT 2024
% Result : Theorem 3.74s 1.86s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 97 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 216 ( 29 ~; 12 |; 0 &; 167 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% 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,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(6,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[6]) ).
thf(1,conjecture,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[7,5]) ).
thf(11,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[10]) ).
thf(12,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[11]) ).
thf(15,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(bool_ext,[status(thm)],[12]) ).
thf(21,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,5]) ).
thf(22,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(pattern_uni,[status(thm)],[21:[]]) ).
thf(4,axiom,
! [A: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(8,plain,
! [A: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,plain,
! [A: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(53,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[9,5]) ).
thf(61,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[53]) ).
thf(64,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[61]) ).
thf(72,plain,
! [A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,64]) ).
thf(73,plain,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(pattern_uni,[status(thm)],[72:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(99,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
inference(simp,[status(thm)],[73]) ).
thf(101,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[7,99]) ).
thf(103,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[101]) ).
thf(108,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[103]) ).
thf(109,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rewrite,[status(thm)],[12,108]) ).
thf(100,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[9,99]) ).
thf(102,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[100]) ).
thf(104,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[102]) ).
thf(106,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[104]) ).
thf(131,plain,
$false,
inference(rewrite,[status(thm)],[109,106]) ).
thf(132,plain,
$false,
inference(simp,[status(thm)],[131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR126^1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 15:44:24 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.97 % [INFO] Parsing done (114ms).
% 1.25/0.98 % [INFO] Running in sequential loop mode.
% 1.74/1.19 % [INFO] eprover registered as external prover.
% 1.74/1.19 % [INFO] cvc4 registered as external prover.
% 1.74/1.20 % [INFO] Scanning for conjecture ...
% 1.86/1.24 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.86/1.26 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.86/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.86/1.28 % [INFO] Type checking passed.
% 1.86/1.28 % [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 ...
% 3.74/1.86 % [INFO] Killing All external provers ...
% 3.74/1.86 % Time passed: 1334ms (effective reasoning time: 874ms)
% 3.74/1.86 % 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)>
% 3.74/1.86 % Axioms used in derivation (2): ax, ax_001
% 3.74/1.86 % No. of inferences in proof: 31
% 3.74/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1334 ms resp. 874 ms w/o parsing
% 3.74/1.89 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.74/1.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------