TSTP Solution File: SWW421-1 by Leo-III-SAT---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW421-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n028.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 Jun 24 18:25:07 EDT 2024
% Result : Unsatisfiable 95.00s 15.90s
% Output : Refutation 95.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 44 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 482 ( 25 ~; 25 |; 0 &; 432 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 105 ( 0 ^ 105 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(heap_type,type,
heap: $i > $o ).
thf(sep_type,type,
sep: $i > $i > $i ).
thf(lseg_type,type,
lseg: $i > $i > $i ).
thf(x1_type,type,
x1: $i ).
thf(x3_type,type,
x3: $i ).
thf(emp_type,type,
emp: $i ).
thf(next_type,type,
next: $i > $i > $i ).
thf(x2_type,type,
x2: $i ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( sep @ ( lseg @ A @ A ) @ B )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( sep @ ( lseg @ A @ A ) @ B )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(47,plain,
! [B: $i,A: $i] :
( ( sep @ ( lseg @ A @ A ) @ B )
= B ),
inference(lifteq,[status(thm)],[46]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( sep @ A @ ( sep @ B @ C ) )
= ( sep @ B @ ( sep @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
thf(19,plain,
! [C: $i,B: $i,A: $i] :
( ( sep @ A @ ( sep @ B @ C ) )
= ( sep @ B @ ( sep @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ( sep @ A @ ( sep @ B @ C ) )
= ( sep @ B @ ( sep @ A @ C ) ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(164,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B
= ( sep @ D @ ( sep @ C @ E ) ) )
| ( ( sep @ ( lseg @ A @ A ) @ B )
!= ( sep @ C @ ( sep @ D @ E ) ) ) ),
inference(paramod_ordered,[status(thm)],[47,20]) ).
thf(165,plain,
! [C: $i,B: $i,A: $i] :
( ( sep @ B @ ( sep @ ( lseg @ A @ A ) @ C ) )
= ( sep @ B @ C ) ),
inference(pattern_uni,[status(thm)],[164:[bind(A,$thf( G )),bind(B,$thf( sep @ H @ I )),bind(C,$thf( lseg @ G @ G )),bind(D,$thf( H )),bind(E,$thf( I ))]]) ).
thf(215,plain,
! [C: $i,B: $i,A: $i] :
( ( sep @ B @ ( sep @ ( lseg @ A @ A ) @ C ) )
= ( sep @ B @ C ) ),
inference(simp,[status(thm)],[165]) ).
thf(862,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sep @ B @ C )
= E )
| ( ( sep @ B @ ( sep @ ( lseg @ A @ A ) @ C ) )
!= ( sep @ ( lseg @ D @ D ) @ E ) ) ),
inference(paramod_ordered,[status(thm)],[215,47]) ).
thf(863,plain,
! [C: $i,B: $i,A: $i] :
( ( sep @ ( lseg @ A @ A ) @ B )
= ( sep @ ( lseg @ C @ C ) @ B ) ),
inference(pattern_uni,[status(thm)],[862:[bind(A,$thf( K )),bind(B,$thf( lseg @ G @ G )),bind(C,$thf( I )),bind(D,$thf( G )),bind(E,$thf( sep @ ( lseg @ K @ K ) @ I ))]]) ).
thf(895,plain,
! [C: $i,B: $i,A: $i] :
( ( sep @ ( lseg @ A @ A ) @ B )
= ( sep @ ( lseg @ C @ C ) @ B ) ),
inference(simp,[status(thm)],[863]) ).
thf(10982,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sep @ ( lseg @ C @ C ) @ B )
= E )
| ( ( sep @ ( lseg @ A @ A ) @ B )
!= ( sep @ ( lseg @ D @ D ) @ E ) ) ),
inference(paramod_ordered,[status(thm)],[895,47]) ).
thf(10983,plain,
! [B: $i,A: $i] :
( ( sep @ ( lseg @ B @ B ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[10982:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( B ))]]) ).
thf(11206,plain,
! [B: $i,A: $i] :
( ( sep @ ( lseg @ B @ B ) @ A )
= A ),
inference(simp,[status(thm)],[10983]) ).
thf(69,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sep @ D @ ( sep @ B @ ( sep @ A @ C ) ) )
= ( sep @ E @ ( sep @ D @ F ) ) )
| ( ( sep @ A @ ( sep @ B @ C ) )
!= ( sep @ E @ F ) ) ),
inference(paramod_ordered,[status(thm)],[20,20]) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sep @ B @ ( sep @ C @ ( sep @ A @ D ) ) )
= ( sep @ A @ ( sep @ B @ ( sep @ C @ D ) ) ) ),
inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( A )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( sep @ G @ H ))]]) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sep @ B @ ( sep @ C @ ( sep @ A @ D ) ) )
= ( sep @ A @ ( sep @ B @ ( sep @ C @ D ) ) ) ),
inference(simp,[status(thm)],[70]) ).
thf(11,axiom,
heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( next @ x1 @ x2 ) @ emp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
thf(42,plain,
heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( next @ x1 @ x2 ) @ emp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ A @ ( sep @ B @ C ) ) ) )
| ( ( sep @ B @ ( sep @ A @ C ) )
!= ( sep @ ( next @ x1 @ x2 ) @ emp ) ) ),
inference(paramod_ordered,[status(thm)],[20,42]) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ( heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ A @ ( sep @ B @ C ) ) ) )
| ( B
!= ( next @ x1 @ x2 ) )
| ( ( sep @ A @ C )
!= emp ) ),
inference(simp,[status(thm)],[67]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ A @ ( sep @ ( next @ x1 @ x2 ) @ B ) ) ) )
| ( ( sep @ A @ B )
!= emp ) ),
inference(simp,[status(thm)],[100]) ).
thf(29414,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ C @ ( sep @ ( next @ x1 @ x2 ) @ D ) ) ) )
| ( B != emp )
| ( ( sep @ ( lseg @ A @ A ) @ B )
!= ( sep @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[47,126]) ).
thf(29415,plain,
! [B: $i,A: $i] :
( ( heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( lseg @ B @ B ) @ ( sep @ ( next @ x1 @ x2 ) @ A ) ) ) )
| ( A != emp ) ),
inference(pattern_uni,[status(thm)],[29414:[bind(A,$thf( F )),bind(B,$thf( B )),bind(C,$thf( lseg @ F @ F )),bind(D,$thf( B ))]]) ).
thf(29618,plain,
! [A: $i] : ( heap @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( lseg @ A @ A ) @ ( sep @ ( next @ x1 @ x2 ) @ emp ) ) ) ),
inference(simp,[status(thm)],[29415]) ).
thf(31165,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( heap @ ( sep @ A @ ( sep @ B @ ( sep @ C @ D ) ) ) )
| ( ( sep @ B @ ( sep @ C @ ( sep @ A @ D ) ) )
!= ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( lseg @ E @ E ) @ ( sep @ ( next @ x1 @ x2 ) @ emp ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[113,29618]) ).
thf(31166,plain,
! [A: $i] : ( heap @ ( sep @ ( next @ x1 @ x2 ) @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( lseg @ A @ A ) @ emp ) ) ) ),
inference(pattern_uni,[status(thm)],[31165:[bind(A,$thf( next @ x1 @ x2 )),bind(B,$thf( lseg @ x2 @ x3 )),bind(C,$thf( lseg @ I @ I )),bind(D,$thf( emp )),bind(E,$thf( I ))]]) ).
thf(31559,plain,
! [A: $i] : ( heap @ ( sep @ ( next @ x1 @ x2 ) @ ( sep @ ( lseg @ x2 @ x3 ) @ ( sep @ ( lseg @ A @ A ) @ emp ) ) ) ),
inference(simp,[status(thm)],[31166]) ).
thf(39067,plain,
! [C: $i,B: $i,A: $i] :
( ( heap @ ( sep @ ( next @ x1 @ x2 ) @ ( sep @ ( lseg @ x2 @ x3 ) @ A ) ) )
| ( ( sep @ ( lseg @ B @ B ) @ A )
!= ( sep @ ( lseg @ C @ C ) @ emp ) ) ),
inference(paramod_ordered,[status(thm)],[11206,31559]) ).
thf(39068,plain,
heap @ ( sep @ ( next @ x1 @ x2 ) @ ( sep @ ( lseg @ x2 @ x3 ) @ emp ) ),
inference(pattern_uni,[status(thm)],[39067:[bind(A,$thf( emp )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(10,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( heap @ ( sep @ ( next @ A @ B ) @ ( sep @ ( lseg @ B @ C ) @ D ) ) )
| ( A = B )
| ( heap @ ( sep @ ( lseg @ A @ C ) @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
thf(39,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( heap @ ( sep @ ( next @ A @ B ) @ ( sep @ ( lseg @ B @ C ) @ D ) ) )
| ( A = B )
| ( heap @ ( sep @ ( lseg @ A @ C ) @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(40,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( heap @ ( sep @ ( next @ A @ B ) @ ( sep @ ( lseg @ B @ C ) @ D ) ) )
| ( A = B )
| ( heap @ ( sep @ ( lseg @ A @ C ) @ D ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(41,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( heap @ ( sep @ ( next @ A @ B ) @ ( sep @ ( lseg @ B @ C ) @ D ) ) )
| ( heap @ ( sep @ ( lseg @ A @ C ) @ D ) ) ),
inference(lifteq,[status(thm)],[40]) ).
thf(40094,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( heap @ ( sep @ ( lseg @ A @ C ) @ D ) )
| ( ( heap @ ( sep @ ( next @ x1 @ x2 ) @ ( sep @ ( lseg @ x2 @ x3 ) @ emp ) ) )
!= ( heap @ ( sep @ ( next @ A @ B ) @ ( sep @ ( lseg @ B @ C ) @ D ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[39068,41]) ).
thf(40095,plain,
( ( x2 = x1 )
| ( heap @ ( sep @ ( lseg @ x1 @ x3 ) @ emp ) ) ),
inference(pattern_uni,[status(thm)],[40094:[bind(A,$thf( x1 )),bind(B,$thf( x2 )),bind(C,$thf( x3 )),bind(D,$thf( emp ))]]) ).
thf(1,negated_conjecture,
~ ( heap @ ( sep @ ( lseg @ x1 @ x3 ) @ emp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
thf(17,plain,
~ ( heap @ ( sep @ ( lseg @ x1 @ x3 ) @ emp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,plain,
~ ( heap @ ( sep @ ( lseg @ x1 @ x3 ) @ emp ) ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(41068,plain,
( ( x2 = x1 )
| $false ),
inference(rewrite,[status(thm)],[40095,18]) ).
thf(41069,plain,
x2 = x1,
inference(simp,[status(thm)],[41068]) ).
thf(7,axiom,
x2 != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
thf(32,plain,
x2 != x1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(33,plain,
x2 != x1,
inference(polarity_switch,[status(thm)],[32]) ).
thf(34,plain,
x2 != x1,
inference(lifteq,[status(thm)],[33]) ).
thf(41070,plain,
$false,
inference(simplifyReflect,[status(thm)],[41069,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWW421-1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n028.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 : Wed Jun 19 08:27:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.00 % [INFO] Parsing done (123ms).
% 1.28/1.01 % [INFO] Running in sequential loop mode.
% 1.66/1.23 % [INFO] nitpick registered as external prover.
% 1.81/1.23 % [INFO] Scanning for conjecture ...
% 1.90/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 2.08/1.33 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.08/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 2.08/1.36 % [INFO] Type checking passed.
% 2.23/1.36 % [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 ...
% 95.00/15.89 % [INFO] Killing All external provers ...
% 95.00/15.89 % Time passed: 15357ms (effective reasoning time: 14882ms)
% 95.00/15.90 % Axioms used in derivation (5): premise_2, associative_commutative, normalization, unfolding_2, premise_4
% 95.00/15.90 % No. of inferences in proof: 47
% 95.00/15.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 15357 ms resp. 14882 ms w/o parsing
% 95.03/15.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 95.03/15.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------