TSTP Solution File: NUM647^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM647^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 10:45:00 EDT 2024
% Result : Theorem 2.43s 1.59s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 21 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 59 ( 10 ~; 3 |; 0 &; 44 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(y_type,type,
y: nat ).
thf(z_type,type,
z: nat ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(sk1_type,type,
sk1: nat > nat > nat ).
thf(3,axiom,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
thf(8,plain,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
( ( pl @ x @ z )
= ( pl @ x @ y ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(5,axiom,
! [A: nat,B: nat,C: nat] :
( ( B != C )
=> ( ( pl @ A @ B )
!= ( pl @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8) ).
thf(11,plain,
! [A: nat,B: nat,C: nat] :
( ( B != C )
=> ( ( pl @ A @ B )
!= ( pl @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,plain,
! [C: nat,B: nat,A: nat] :
( ( B = C )
| ( ( pl @ A @ B )
!= ( pl @ A @ C ) ) ),
inference(cnf,[status(esa)],[11]) ).
thf(13,plain,
! [C: nat,B: nat,A: nat] :
( ( B = C )
| ( ( pl @ A @ B )
!= ( pl @ A @ C ) ) ),
inference(lifteq,[status(thm)],[12]) ).
thf(14,plain,
! [B: nat,A: nat] :
( ( sk1 @ A @ ( pl @ A @ B ) )
= B ),
introduced(tautology,[new_symbols(inverse(pl),[sk1])]) ).
thf(15,plain,
! [B: nat,A: nat] :
( ( ( sk1 @ A @ ( pl @ x @ y ) )
= B )
| ( ( pl @ x @ z )
!= ( pl @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9,14]) ).
thf(16,plain,
( ( sk1 @ x @ ( pl @ x @ y ) )
= z ),
inference(pattern_uni,[status(thm)],[15:[bind(A,$thf( x )),bind(B,$thf( z ))]]) ).
thf(17,plain,
z = y,
inference(rewrite,[status(thm)],[16,14]) ).
thf(1,conjecture,
y = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8a) ).
thf(2,negated_conjecture,
y != z,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
y != z,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
z != y,
inference(lifteq,[status(thm)],[6]) ).
thf(18,plain,
$false,
inference(simplifyReflect,[status(thm)],[17,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM647^1 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n003.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 : Mon May 6 19:34:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.96/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/1.00 % [INFO] Parsing done (134ms).
% 1.17/1.01 % [INFO] Running in sequential loop mode.
% 1.68/1.25 % [INFO] nitpick registered as external prover.
% 1.68/1.25 % [INFO] Scanning for conjecture ...
% 1.68/1.30 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.68/1.32 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.95/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.95/1.33 % [INFO] Type checking passed.
% 1.95/1.34 % [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 ...
% 2.43/1.59 % [INFO] Killing All external provers ...
% 2.43/1.59 % Time passed: 1056ms (effective reasoning time: 580ms)
% 2.43/1.59 % 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)>
% 2.43/1.59 % Axioms used in derivation (2): i, satz8
% 2.43/1.59 % No. of inferences in proof: 16
% 2.43/1.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1056 ms resp. 580 ms w/o parsing
% 2.43/1.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.43/1.62 % [INFO] Killing All external provers ...
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