TSTP Solution File: CSR142^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR142^1 : 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 07:38:58 EDT 2024
% Result : Theorem 3.01s 1.81s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 16 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 2 ~; 0 |; 0 &; 26 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 ^ 8 !; 3 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(husband_THFTYPE_IiioI_type,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(lChris_THFTYPE_i_type,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_type,type,
lCorina_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(1,conjecture,
? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(8,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(9,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(5,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(12,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,plain,
$false,
inference(e,[status(thm)],[6,8,9,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR142^1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 15:46:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 1.09/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.36/1.12 % [INFO] Parsing done (180ms).
% 1.36/1.13 % [INFO] Running in sequential loop mode.
% 1.87/1.41 % [INFO] eprover registered as external prover.
% 1.87/1.42 % [INFO] cvc4 registered as external prover.
% 1.87/1.42 % [INFO] Scanning for conjecture ...
% 2.04/1.47 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 2.14/1.49 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.14/1.50 % [INFO] Problem is higher-order (TPTP THF).
% 2.14/1.50 % [INFO] Type checking passed.
% 2.14/1.51 % [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 ...
% 3.01/1.81 % External prover 'e' found a proof!
% 3.01/1.81 % [INFO] Killing All external provers ...
% 3.01/1.81 % Time passed: 1267ms (effective reasoning time: 674ms)
% 3.01/1.81 % 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)>
% 3.01/1.81 % Axioms used in derivation (3): ax, ax_001, ax_002
% 3.01/1.81 % No. of inferences in proof: 10
% 3.01/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1267 ms resp. 674 ms w/o parsing
% 3.04/1.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/1.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------