TSTP Solution File: PUZ086^1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : PUZ086^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 02:27:26 EDT 2024
% Result : Theorem 61.93s 10.23s
% Output : Refutation 61.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of formulae : 69 ( 16 unt; 15 typ; 5 def)
% Number of atoms : 197 ( 13 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 369 ( 89 ~; 75 |; 0 &; 205 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 77 ( 7 ^ 70 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: $i > $o,B: $i > $o] : ( mnot @ ( mor @ ( mnot @ A ) @ ( mnot @ B ) ) ) ) ) ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: $i > $i > $o,B: $i > $o,C: $i] :
! [D: $i] :
( ~ ( A @ C @ D )
| ( B @ D ) ) ) ) ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mreflexive_def,definition,
( mreflexive
= ( ^ [A: $i > $i > $o] :
! [B: $i] : ( A @ B @ B ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(peter_type,type,
peter: $i > $i > $o ).
thf(john_type,type,
john: $i > $i > $o ).
thf(time_type,type,
time: $i > $o ).
thf(place_type,type,
place: $i > $o ).
thf(appointment_type,type,
appointment: $i > $o ).
thf(sk1_type,type,
sk1: $o ).
thf(sk4_type,type,
sk4: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(1,conjecture,
mvalid @ ( mand @ ( mbox @ peter @ ( mbox @ john @ appointment ) ) @ ( mbox @ john @ ( mbox @ peter @ appointment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mvalid @ ( mand @ ( mbox @ peter @ ( mbox @ john @ appointment ) ) @ ( mbox @ john @ ( mbox @ peter @ appointment ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ! [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( peter @ A @ B )
| ! [C: $i] :
( ~ ( john @ B @ C )
| ( appointment @ C ) ) )
| ~ ! [B: $i] :
( ~ ( john @ A @ B )
| ! [C: $i] :
( ~ ( peter @ B @ C )
| ( appointment @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
~ ~ ( ~ ! [A: $i,B: $i] :
( ~ ( peter @ A @ B )
| ! [C: $i] :
( ~ ( john @ B @ C )
| ( appointment @ C ) ) )
| ~ ! [A: $i,B: $i] :
( ~ ( john @ A @ B )
| ! [C: $i] :
( ~ ( peter @ B @ C )
| ( appointment @ C ) ) ) ),
inference(miniscope,[status(thm)],[15]) ).
thf(20,plain,
( ~ ( appointment @ sk4 )
| sk1 ),
inference(cnf,[status(esa)],[16]) ).
thf(4,axiom,
mreflexive @ john,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_john) ).
thf(25,plain,
! [A: $i] : ( john @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(26,plain,
! [A: $i] : ( john @ A @ A ),
inference(cnf,[status(esa)],[25]) ).
thf(21,plain,
( ~ sk1
| ( peter @ sk6 @ sk7 ) ),
inference(cnf,[status(esa)],[16]) ).
thf(14,axiom,
mvalid @ ( mbox @ peter @ ( mbox @ john @ ( mimplies @ ( mand @ place @ time ) @ appointment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_d) ).
thf(49,plain,
! [A: $i,B: $i] :
( ~ ( peter @ A @ B )
| ! [C: $i] :
( ~ ( john @ B @ C )
| ~ ( place @ C )
| ~ ( time @ C )
| ( appointment @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(50,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( peter @ A @ B )
| ~ ( john @ B @ C )
| ~ ( place @ C )
| ~ ( time @ C )
| ( appointment @ C ) ),
inference(cnf,[status(esa)],[49]) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( john @ B @ C )
| ~ ( place @ C )
| ~ ( time @ C )
| ( appointment @ C )
| ( ( peter @ sk6 @ sk7 )
!= ( peter @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21,50]) ).
thf(64,plain,
! [A: $i] :
( ~ sk1
| ~ ( john @ sk7 @ A )
| ~ ( place @ A )
| ~ ( time @ A )
| ( appointment @ A ) ),
inference(pattern_uni,[status(thm)],[63:[bind(A,$thf( sk6 )),bind(B,$thf( sk7 ))]]) ).
thf(65,plain,
! [A: $i] :
( ~ sk1
| ~ ( john @ sk7 @ A )
| ~ ( place @ A )
| ~ ( time @ A )
| ( appointment @ A ) ),
inference(simp,[status(thm)],[64]) ).
thf(3,axiom,
mreflexive @ peter,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_peter) ).
thf(23,plain,
! [A: $i] : ( peter @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,plain,
! [A: $i] : ( peter @ A @ A ),
inference(cnf,[status(esa)],[23]) ).
thf(11,axiom,
mvalid @ ( mbox @ peter @ time ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_a) ).
thf(42,plain,
! [A: $i,B: $i] :
( ~ ( peter @ A @ B )
| ( time @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( peter @ A @ B )
| ( time @ B ) ),
inference(cnf,[status(esa)],[42]) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ( time @ C )
| ( ( peter @ A @ A )
!= ( peter @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[24,43]) ).
thf(67,plain,
! [A: $i] : ( time @ A ),
inference(pattern_uni,[status(thm)],[66:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(84,plain,
! [A: $i] :
( ~ sk1
| ~ ( john @ sk7 @ A )
| ~ ( place @ A )
| ~ $true
| ( appointment @ A ) ),
inference(rewrite,[status(thm)],[65,67]) ).
thf(85,plain,
! [A: $i] :
( ~ sk1
| ~ ( john @ sk7 @ A )
| ~ ( place @ A )
| ( appointment @ A ) ),
inference(simp,[status(thm)],[84]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( place @ B )
| ( appointment @ B )
| ( ( john @ A @ A )
!= ( john @ sk7 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[26,85]) ).
thf(89,plain,
( ~ sk1
| ~ ( place @ sk7 )
| ( appointment @ sk7 ) ),
inference(pattern_uni,[status(thm)],[88:[bind(A,$thf( sk7 )),bind(B,$thf( sk7 ))]]) ).
thf(22,plain,
( ~ sk1
| ~ ( appointment @ sk7 ) ),
inference(cnf,[status(esa)],[16]) ).
thf(193,plain,
( ~ sk1
| ~ ( place @ sk7 )
| ( ( appointment @ sk7 )
!= ( appointment @ sk7 ) ) ),
inference(paramod_ordered,[status(thm)],[89,22]) ).
thf(194,plain,
( ~ sk1
| ~ ( place @ sk7 ) ),
inference(pattern_uni,[status(thm)],[193:[]]) ).
thf(12,axiom,
mvalid @ ( mbox @ peter @ ( mbox @ john @ place ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_b) ).
thf(44,plain,
! [A: $i,B: $i] :
( ~ ( peter @ A @ B )
| ! [C: $i] :
( ~ ( john @ B @ C )
| ( place @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( peter @ A @ B )
| ~ ( john @ B @ C )
| ( place @ C ) ),
inference(cnf,[status(esa)],[44]) ).
thf(4894,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( peter @ B @ C )
| ( place @ D )
| ( ( john @ A @ A )
!= ( john @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[26,45]) ).
thf(4895,plain,
! [B: $i,A: $i] :
( ~ ( peter @ B @ A )
| ( place @ A ) ),
inference(pattern_uni,[status(thm)],[4894:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(5014,plain,
! [C: $i,B: $i,A: $i] :
( ( place @ B )
| ( ( peter @ A @ A )
!= ( peter @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24,4895]) ).
thf(5015,plain,
! [A: $i] : ( place @ A ),
inference(pattern_uni,[status(thm)],[5014:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(5073,plain,
( ~ sk1
| ~ $true ),
inference(rewrite,[status(thm)],[194,5015]) ).
thf(5074,plain,
~ sk1,
inference(simp,[status(thm)],[5073]) ).
thf(5101,plain,
( ~ ( appointment @ sk4 )
| $false ),
inference(rewrite,[status(thm)],[20,5074]) ).
thf(5102,plain,
~ ( appointment @ sk4 ),
inference(simp,[status(thm)],[5101]) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( peter @ B @ C )
| ~ ( place @ D )
| ~ ( time @ D )
| ( appointment @ D )
| ( ( john @ A @ A )
!= ( john @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[26,50]) ).
thf(54,plain,
! [B: $i,A: $i] :
( ~ ( peter @ B @ A )
| ~ ( place @ A )
| ~ ( time @ A )
| ( appointment @ A ) ),
inference(pattern_uni,[status(thm)],[53:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(5383,plain,
! [B: $i,A: $i] :
( ~ ( peter @ B @ A )
| ~ $true
| ~ $true
| ( appointment @ A ) ),
inference(rewrite,[status(thm)],[54,67,5015]) ).
thf(5384,plain,
! [B: $i,A: $i] :
( ~ ( peter @ B @ A )
| ( appointment @ A ) ),
inference(simp,[status(thm)],[5383]) ).
thf(5389,plain,
! [C: $i,B: $i,A: $i] :
( ( appointment @ B )
| ( ( peter @ A @ A )
!= ( peter @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[24,5384]) ).
thf(5390,plain,
! [A: $i] : ( appointment @ A ),
inference(pattern_uni,[status(thm)],[5389:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(5424,plain,
~ $true,
inference(rewrite,[status(thm)],[5102,5390]) ).
thf(5425,plain,
$false,
inference(simp,[status(thm)],[5424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ086^1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 10:37:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.00/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.22 % [INFO] Parsing done (240ms).
% 1.47/1.23 % [INFO] Running in sequential loop mode.
% 2.17/1.60 % [INFO] nitpick registered as external prover.
% 2.17/1.60 % [INFO] Scanning for conjecture ...
% 2.63/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 2.75/1.82 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 2.75/1.82 % [INFO] Problem is higher-order (TPTP THF).
% 2.75/1.83 % [INFO] Type checking passed.
% 2.75/1.83 % [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 ...
% 61.19/10.20 % [INFO] Killing All external provers ...
% 61.93/10.20 % Time passed: 9705ms (effective reasoning time: 8961ms)
% 61.93/10.20 % 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)>
% 61.93/10.21 % Axioms used in derivation (5): ax_d, refl_peter, ax_b, ax_a, refl_john
% 61.93/10.23 % No. of inferences in proof: 49
% 61.93/10.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 9705 ms resp. 8961 ms w/o parsing
% 61.95/10.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 61.95/10.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------