TSTP Solution File: PUZ136^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : PUZ136^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 21 02:27:34 EDT 2024
% Result : Theorem 2.96s 2.12s
% Output : Refutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 20 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 55 ( 18 ~; 5 |; 4 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 ^ 15 !; 11 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(parent_type,type,
parent: $i > $i > $o ).
thf(kronus_type,type,
kronus: $i ).
thf(zeus_type,type,
zeus: $i ).
thf(sutekh_type,type,
sutekh: $i ).
thf(horus_type,type,
horus: $i ).
thf(1,conjecture,
? [A: $i > $o,B: $i,C: $i] :
( ( A @ B )
& ~ ( A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hotwo) ).
thf(2,negated_conjecture,
~ ? [A: $i > $o,B: $i,C: $i] :
( ( A @ B )
& ~ ( A @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ? [A: $i > $o,B: $i,C: $i] :
( ( A @ B )
& ~ ( A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
~ ? [A: $i > $o] :
( ? [B: $i] : ( A @ B )
& ~ ! [B: $i] : ( A @ B ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(7,plain,
! [C: $i,B: $i,A: $i > $o] :
( ~ ( A @ B )
| ( A @ C ) ),
inference(cnf,[status(esa)],[6]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( A != A )
| ( A = B ) ),
inference(replace_leibeq,[status(thm)],[7:[bind(A,$thf( (=) @ $i @ B ))]]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( A != A )
| ( A = B ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(10,plain,
! [B: $i,A: $i] : ( A = B ),
inference(simp,[status(thm)],[9]) ).
thf(3,axiom,
parent @ kronus @ zeus,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(11,plain,
parent @ kronus @ zeus,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( parent @ A @ zeus )
| ( B != kronus ) ),
inference(paramod_ordered,[status(thm)],[10,11]) ).
thf(21,plain,
! [A: $i] : ( parent @ A @ zeus ),
inference(pattern_uni,[status(thm)],[20:[bind(A,$thf( A )),bind(B,$thf( kronus ))]]) ).
thf(4,axiom,
~ ( parent @ sutekh @ horus ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(12,plain,
~ ( parent @ sutekh @ horus ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,plain,
~ ( parent @ sutekh @ horus ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(41,plain,
! [A: $i] :
( ( parent @ A @ zeus )
!= ( parent @ sutekh @ horus ) ),
inference(paramod_ordered,[status(thm)],[21,13]) ).
thf(42,plain,
! [A: $i] :
( ( A != sutekh )
| ( horus != zeus ) ),
inference(simp,[status(thm)],[41]) ).
thf(45,plain,
horus != zeus,
inference(simp,[status(thm)],[42]) ).
thf(46,plain,
$false,
inference(simplifyReflect,[status(thm)],[45,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : PUZ136^1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.12 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 10:35:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.04/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.13 % [INFO] Parsing done (163ms).
% 1.31/1.14 % [INFO] Running in sequential loop mode.
% 1.87/1.49 % [INFO] nitpick registered as external prover.
% 1.87/1.50 % [INFO] Scanning for conjecture ...
% 2.05/1.58 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.05/1.61 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.13/1.61 % [INFO] Problem is higher-order (TPTP THF).
% 2.13/1.62 % [INFO] Type checking passed.
% 2.13/1.62 % [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 ...
% 2.96/2.12 % [INFO] Killing All external provers ...
% 2.96/2.12 % Time passed: 1636ms (effective reasoning time: 973ms)
% 2.96/2.12 % 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)>
% 2.96/2.12 % Axioms used in derivation (2): ax1, ax2
% 2.96/2.12 % No. of inferences in proof: 19
% 2.96/2.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1636 ms resp. 973 ms w/o parsing
% 2.96/2.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.96/2.16 % [INFO] Killing All external provers ...
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