TSTP Solution File: CSR143^2 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR143^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 10:29:46 EDT 2024
% Result : Theorem 131.86s 22.12s
% Output : Refutation 131.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 68 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 137 ( 14 ~; 5 |; 0 &; 116 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 0 ^ 36 !; 3 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(husband_THFTYPE_IiioI_type,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(lChris_THFTYPE_i_type,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_type,type,
lCorina_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI_type,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(133,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_093) ).
thf(337,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(1,conjecture,
? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(147,plain,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(148,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(cnf,[status(esa)],[147]) ).
thf(9518,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[337,148]) ).
thf(9575,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
!= ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[9518]) ).
thf(9670,plain,
! [A: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
!= ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(simp,[status(thm)],[9575]) ).
thf(143,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_047) ).
thf(348,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(349,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(cnf,[status(esa)],[348]) ).
thf(9860,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[349,148]) ).
thf(9907,plain,
! [B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ),
inference(simp,[status(thm)],[9860]) ).
thf(9966,plain,
! [A: $i] :
~ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(simp,[status(thm)],[9907]) ).
thf(10032,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(rewrite,[status(thm)],[9670,9966]) ).
thf(130,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_082) ).
thf(328,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(125,axiom,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
=> ! [C: $i,D: $i] :
( ( B @ C @ D )
= ( A @ D @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(321,plain,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
=> ! [C: $i,D: $i] :
( ( B @ C @ D )
= ( A @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(322,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
| ( ( B @ C @ D )
= ( A @ D @ C ) ) ),
inference(cnf,[status(esa)],[321]) ).
thf(323,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( B @ C @ D )
= ( A @ D @ C ) )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ),
inference(lifteq,[status(thm)],[322]) ).
thf(14161,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( B @ C @ D )
= ( A @ D @ C ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
!= ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[328,323]) ).
thf(14162,plain,
! [B: $i,A: $i] :
( ( wife_THFTYPE_IiioI @ B @ A )
= ( husband_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[14161:[bind(A,$thf( wife_THFTYPE_IiioI )),bind(B,$thf( husband_THFTYPE_IiioI )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(17350,plain,
! [B: $i,A: $i] :
( ( wife_THFTYPE_IiioI @ B @ A )
= ( husband_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[14162]) ).
thf(27004,plain,
husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i,
inference(rewrite,[status(thm)],[10032,17350]) ).
thf(27128,plain,
$false,
inference(rewrite,[status(thm)],[27004,9966]) ).
thf(27129,plain,
$false,
inference(simp,[status(thm)],[27128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR143^2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 6 23:29:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.97/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.07 % [INFO] Parsing done (213ms).
% 1.78/1.08 % [INFO] Running in sequential loop mode.
% 2.20/1.29 % [INFO] nitpick registered as external prover.
% 2.20/1.29 % [INFO] Scanning for conjecture ...
% 2.70/1.39 % [INFO] Found a conjecture and 297 axioms. Running axiom selection ...
% 2.99/1.49 % [INFO] Axiom selection finished. Selected 144 axioms (removed 153 axioms).
% 3.31/1.56 % [INFO] Problem is higher-order (TPTP THF).
% 3.31/1.57 % [INFO] Type checking passed.
% 3.31/1.57 % [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 ...
% 131.86/22.12 % [INFO] Killing All external provers ...
% 131.86/22.12 % Time passed: 21587ms (effective reasoning time: 21039ms)
% 131.86/22.12 % 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)>
% 131.86/22.12 % Axioms used in derivation (4): ax_093, ax_047, ax_082, ax_005
% 131.86/22.12 % No. of inferences in proof: 28
% 131.86/22.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 21587 ms resp. 21039 ms w/o parsing
% 131.86/22.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 131.86/22.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------