TSTP Solution File: CSR128^2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR128^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 07:38:53 EDT 2024
% Result : Theorem 4.86s 2.23s
% Output : Refutation 4.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 96 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 241 ( 43 ~; 8 |; 0 &; 179 @)
% ( 0 <=>; 11 =>; 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 : 37 ( 0 ^ 31 !; 6 ?; 37 :)
% 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(8,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_035) ).
thf(21,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(12,plain,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
! [B: $i,A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(cnf,[status(esa)],[12]) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21,13]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= A )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[36]) ).
thf(42,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[40]) ).
thf(46,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(bool_ext,[status(thm)],[42]) ).
thf(6,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_006) ).
thf(17,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)],[6]) ).
thf(18,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)],[17]) ).
thf(9,axiom,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).
thf(22,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(23,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(cnf,[status(esa)],[22]) ).
thf(38,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21,23]) ).
thf(39,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[38:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )),bind(B,$thf( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ))]]) ).
thf(58,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 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[18,39]) ).
thf(60,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 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[58]) ).
thf(62,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ),
inference(paramod_ordered,[status(thm)],[46,62]) ).
thf(96,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(pattern_uni,[status(thm)],[95:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(119,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[21,96]) ).
thf(50,plain,
! [C: $o,B: $i,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
| ( ( 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 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[18,23]) ).
thf(51,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( J )),bind(B,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )),bind(C,$thf( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ J ) => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ J ) ))]]) ).
thf(54,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(simp,[status(thm)],[51]) ).
thf(127,plain,
! [A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) ),
inference(paramod_ordered,[status(thm)],[96,54]) ).
thf(128,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[127:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(118,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(rewrite,[status(thm)],[42,96]) ).
thf(163,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $false ),
inference(rewrite,[status(thm)],[128,118]) ).
thf(164,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
inference(simp,[status(thm)],[163]) ).
thf(165,plain,
$false,
inference(rewrite,[status(thm)],[119,164]) ).
thf(166,plain,
$false,
inference(simp,[status(thm)],[165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR128^2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n011.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon May 6 15:44:09 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.64/1.08 % [INFO] Parsing done (204ms).
% 1.64/1.09 % [INFO] Running in sequential loop mode.
% 2.07/1.30 % [INFO] eprover registered as external prover.
% 2.07/1.31 % [INFO] cvc4 registered as external prover.
% 2.07/1.31 % [INFO] Scanning for conjecture ...
% 2.27/1.39 % [INFO] Found a conjecture and 190 axioms. Running axiom selection ...
% 2.40/1.43 % [INFO] Axiom selection finished. Selected 9 axioms (removed 181 axioms).
% 2.40/1.44 % [INFO] Problem is higher-order (TPTP THF).
% 2.40/1.44 % [INFO] Type checking passed.
% 2.40/1.45 % [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 ...
% 4.86/2.22 % [INFO] Killing All external provers ...
% 4.86/2.22 % Time passed: 1681ms (effective reasoning time: 1129ms)
% 4.86/2.22 % 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)>
% 4.86/2.22 % Axioms used in derivation (3): ax_035, ax_006, ax_022
% 4.86/2.22 % No. of inferences in proof: 34
% 4.86/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1681 ms resp. 1129 ms w/o parsing
% 4.86/2.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.86/2.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------