TSTP Solution File: CSR137^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 : Mon May 20 19:31:42 EDT 2024
% Result : Theorem 69.59s 11.23s
% Output : Refutation 69.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 20 unt; 6 typ; 0 def)
% Number of atoms : 31 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 144 ( 26 ~; 15 |; 9 &; 94 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 51 ( 0 ^ 42 !; 9 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(lAnna_THFTYPE_i_type,type,
lAnna_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_type,type,
lBen_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_type,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_type,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(28,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_025) ).
thf(93,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(94,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[93]) ).
thf(7,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(55,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(47,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(48,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B @ D @ E )
| ( A @ F @ G ) ),
inference(cnf,[status(esa)],[47]) ).
thf(134,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B @ D @ E )
| ( A @ F @ G )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[55,48]) ).
thf(210,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( A @ C @ D ) ),
inference(pre_uni,[status(thm)],[134:[bind(A,$thf( A )),bind(B,$thf( ^ [H: $i] : ^ [I: $i] : ( parent_THFTYPE_IiioI @ H @ lAnna_THFTYPE_i ) )),bind(C,$thf( lMary_THFTYPE_i )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G ))]]) ).
thf(299,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( A @ C @ D ) ),
inference(simp,[status(thm)],[210]) ).
thf(13,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_010) ).
thf(65,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(66,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[65]) ).
thf(323,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( ( A @ C @ D )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[299,66]) ).
thf(382,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[323:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : ( parent_THFTYPE_IiioI @ E @ lBen_THFTYPE_i ) )),bind(B,$thf( B )),bind(C,$thf( lBob_THFTYPE_i )),bind(D,$thf( D ))]]) ).
thf(438,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[382]) ).
thf(10,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(59,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16153,plain,
! [A: $i] :
( ~ $true
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(rewrite,[status(thm)],[438,59]) ).
thf(16154,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ),
inference(simp,[status(thm)],[16153]) ).
thf(16158,plain,
~ $true,
inference(rewrite,[status(thm)],[94,16154]) ).
thf(16159,plain,
$false,
inference(simp,[status(thm)],[16158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n021.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 : Sun May 19 02:24:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.00/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.46/1.08 % [INFO] Parsing done (154ms).
% 1.46/1.09 % [INFO] Running in sequential loop mode.
% 1.91/1.33 % [INFO] nitpick registered as external prover.
% 1.91/1.33 % [INFO] Scanning for conjecture ...
% 2.09/1.40 % [INFO] Found a conjecture (or negated_conjecture) and 44 axioms. Running axiom selection ...
% 2.09/1.43 % [INFO] Axiom selection finished. Selected 44 axioms (removed 0 axioms).
% 2.09/1.46 % [INFO] Problem is higher-order (TPTP THF).
% 2.33/1.46 % [INFO] Type checking passed.
% 2.33/1.47 % [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 ...
% 69.59/11.23 % [INFO] Killing All external provers ...
% 69.59/11.23 % Time passed: 10675ms (effective reasoning time: 10134ms)
% 69.59/11.23 % 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)>
% 69.59/11.23 % Axioms used in derivation (4): ax_025, ax_004, ax_010, ax_007
% 69.59/11.23 % No. of inferences in proof: 24
% 69.59/11.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 10675 ms resp. 10134 ms w/o parsing
% 69.59/11.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 69.59/11.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------