TSTP Solution File: CSR144^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 07:38:59 EDT 2024
% Result : Theorem 9.12s 2.94s
% Output : Refutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 146 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 283 ( 41 ~; 18 |; 0 &; 218 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 0 ^ 64 !; 11 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(believes_THFTYPE_IiooI_type,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(considers_THFTYPE_IiooI_type,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
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(lMax_THFTYPE_i_type,type,
lMax_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI_type,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(1,conjecture,
? [A: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ? [A: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
~ ~ ! [A: $i] : ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(miniscope,[status(thm)],[7]) ).
thf(9,plain,
! [A: $i] : ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(cnf,[status(esa)],[8]) ).
thf(5,axiom,
! [A: $o,B: $i] :
( ( believes_THFTYPE_IiooI @ B @ A )
=> ? [C: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( considers_THFTYPE_IiooI @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(14,plain,
! [A: $o,B: $i] :
( ( believes_THFTYPE_IiooI @ B @ A )
=> ? [C: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( considers_THFTYPE_IiooI @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,plain,
! [A: $i] :
( ( believes_THFTYPE_IiooI @ A @ $true )
=> ? [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ A @ $true ) ) ),
inference(instance,[status(thm)],[14]) ).
thf(17,plain,
! [A: $i] :
( ~ ( believes_THFTYPE_IiooI @ A @ $true )
| ( holdsDuring_THFTYPE_IiooI @ ( sk1 @ A ) @ ( considers_THFTYPE_IiooI @ A @ $true ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(6,axiom,
! [A: $i] :
~ ? [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ A @ lMax_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(19,plain,
! [A: $i] :
~ ? [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ A @ lMax_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,plain,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ A @ lMax_THFTYPE_i ) ) ),
inference(miniscope,[status(thm)],[19]) ).
thf(21,plain,
! [B: $i,A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ A @ lMax_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[20]) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( believes_THFTYPE_IiooI @ A @ $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( sk1 @ A ) @ ( considers_THFTYPE_IiooI @ A @ $true ) )
!= ( holdsDuring_THFTYPE_IiooI @ C @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ B @ lMax_THFTYPE_i ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,21]) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( believes_THFTYPE_IiooI @ A @ $true )
| ( ( sk1 @ A )
!= C )
| ( ( considers_THFTYPE_IiooI @ A @ $true )
!= ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ B @ lMax_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[22]) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( believes_THFTYPE_IiooI @ A @ $true )
| ( ( considers_THFTYPE_IiooI @ A @ $true )
!= ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ B @ lMax_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[24]) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( ( considers_THFTYPE_IiooI @ B @ $true )
!= ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ C @ lMax_THFTYPE_i ) ) )
| ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) )
!= ( believes_THFTYPE_IiooI @ B @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[9,26]) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( B != lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ C @ lMax_THFTYPE_i )
| ( lMax_THFTYPE_i != B )
| ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[31]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( wife_THFTYPE_IiioI @ B @ lMax_THFTYPE_i )
| ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[35]) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(10,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,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_001) ).
thf(11,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)],[4]) ).
thf(12,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)],[11]) ).
thf(13,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)],[12]) ).
thf(80,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)],[10,13]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( wife_THFTYPE_IiioI @ B @ A )
= ( husband_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[80:[bind(A,$thf( wife_THFTYPE_IiioI )),bind(B,$thf( husband_THFTYPE_IiioI )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(399,plain,
! [B: $i,A: $i] :
( ( wife_THFTYPE_IiioI @ B @ A )
= ( husband_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[81]) ).
thf(499,plain,
! [B: $i,A: $i] :
( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ B )
| ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ),
inference(rewrite,[status(thm)],[39,399]) ).
thf(776,plain,
! [B: $i,A: $i] :
( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ B )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A )
!= ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[499]) ).
thf(786,plain,
! [A: $i] :
~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ),
inference(pattern_uni,[status(thm)],[776:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(802,plain,
believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false,
inference(rewrite,[status(thm)],[9,786]) ).
thf(16,plain,
! [A: $i] :
( ( believes_THFTYPE_IiooI @ A @ $false )
=> ? [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ A @ $false ) ) ),
inference(instance,[status(thm)],[14]) ).
thf(18,plain,
! [A: $i] :
( ~ ( believes_THFTYPE_IiooI @ A @ $false )
| ( holdsDuring_THFTYPE_IiooI @ ( sk2 @ A ) @ ( considers_THFTYPE_IiooI @ A @ $false ) ) ),
inference(cnf,[status(esa)],[16]) ).
thf(891,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( sk2 @ A ) @ ( considers_THFTYPE_IiooI @ A @ $false ) )
| ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
!= ( believes_THFTYPE_IiooI @ A @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[802,18]) ).
thf(892,plain,
holdsDuring_THFTYPE_IiooI @ ( sk2 @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ),
inference(pattern_uni,[status(thm)],[891:[bind(A,$thf( lMax_THFTYPE_i ))]]) ).
thf(498,plain,
! [B: $i,A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ B @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ A ) ) ),
inference(rewrite,[status(thm)],[21,399]) ).
thf(803,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ A @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ),
inference(rewrite,[status(thm)],[498,786]) ).
thf(812,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ A @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ),
inference(simp,[status(thm)],[803]) ).
thf(980,plain,
$false,
inference(rewrite,[status(thm)],[892,812]) ).
thf(981,plain,
$false,
inference(simp,[status(thm)],[980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n007.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
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 15:34:09 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.90/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (127ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.60/1.19 % [INFO] eprover registered as external prover.
% 1.60/1.20 % [INFO] cvc4 registered as external prover.
% 1.60/1.20 % [INFO] Scanning for conjecture ...
% 1.78/1.25 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.84/1.28 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.84/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.29 % [INFO] Type checking passed.
% 1.84/1.29 % [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 ...
% 9.12/2.94 % [INFO] Killing All external provers ...
% 9.12/2.94 % Time passed: 2407ms (effective reasoning time: 1963ms)
% 9.12/2.94 % 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)>
% 9.12/2.94 % Axioms used in derivation (4): ax_002, ax_003, ax, ax_001
% 9.12/2.94 % No. of inferences in proof: 41
% 9.12/2.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2407 ms resp. 1963 ms w/o parsing
% 9.12/2.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.12/2.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------