TSTP Solution File: SYO160^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO160^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 08:59:27 EDT 2024
% Result : Theorem 3.16s 1.77s
% Output : Refutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 2 unt; 6 typ; 0 def)
% Number of atoms : 64 ( 3 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 113 ( 16 ~; 20 |; 12 &; 56 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 0 ^ 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $i ).
thf(cR_type,type,
cR: $i > $o ).
thf(b_type,type,
b: $i ).
thf(a_type,type,
a: $i ).
thf(cQ_type,type,
cQ: $i > $o ).
thf(cP_type,type,
cP: $i > $o ).
thf(1,conjecture,
( ( ( ! [A: $i] : ( cP @ A )
| ! [A: $i] : ( cQ @ A ) )
& ! [A: $i] :
( ( cP @ A )
=> ( cR @ A ) )
& ! [A: $i] :
( ( cQ @ A )
=> ( cR @ A ) ) )
=> ( ( cR @ a )
& ( cR @ b )
& ( cR @ c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISJ_THIRD) ).
thf(2,negated_conjecture,
~ ( ( ( ! [A: $i] : ( cP @ A )
| ! [A: $i] : ( cQ @ A ) )
& ! [A: $i] :
( ( cP @ A )
=> ( cR @ A ) )
& ! [A: $i] :
( ( cQ @ A )
=> ( cR @ A ) ) )
=> ( ( cR @ a )
& ( cR @ b )
& ( cR @ c ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( ! [A: $i] : ( cP @ A )
| ! [A: $i] : ( cQ @ A ) )
& ! [A: $i] :
( ( cP @ A )
=> ( cR @ A ) )
& ! [A: $i] :
( ( cQ @ A )
=> ( cR @ A ) ) )
=> ( ( cR @ a )
& ( cR @ b )
& ( cR @ c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ~ ( cR @ a )
| ~ ( cR @ b )
| ~ ( cR @ c ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( cP @ A )
| ( cQ @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i] :
( ~ ( cQ @ A )
| ( cR @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: $i] :
( ~ ( cQ @ A )
| ( cR @ A ) ),
inference(simp,[status(thm)],[5]) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ( cP @ A )
| ( cR @ C )
| ( ( cQ @ B )
!= ( cQ @ C ) ) ),
inference(paramod_ordered,[status(thm)],[7,8]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( cP @ A )
| ( cR @ B ) ),
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(6,plain,
! [A: $i] :
( ~ ( cP @ A )
| ( cR @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: $i] :
( ~ ( cP @ A )
| ( cR @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ( cR @ B )
| ( cR @ C )
| ( ( cP @ A )
!= ( cP @ C ) ) ),
inference(paramod_ordered,[status(thm)],[11,9]) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( cR @ B )
| ( cR @ A ) ),
inference(pattern_uni,[status(thm)],[14:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A ))]]) ).
thf(57,plain,
! [B: $i,A: $i] :
( ( cR @ B )
| ( ( cR @ A )
!= ( cR @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[15]) ).
thf(58,plain,
! [A: $i] : ( cR @ A ),
inference(pattern_uni,[status(thm)],[57:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(64,plain,
( ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[4,58]) ).
thf(65,plain,
$false,
inference(simp,[status(thm)],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO160^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 09:12:09 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.92/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.97 % [INFO] Parsing done (106ms).
% 1.21/0.98 % [INFO] Running in sequential loop mode.
% 1.60/1.20 % [INFO] nitpick registered as external prover.
% 1.60/1.20 % [INFO] Scanning for conjecture ...
% 1.72/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.72/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.72/1.28 % [INFO] Problem is higher-order (TPTP THF).
% 1.72/1.29 % [INFO] Type checking passed.
% 1.72/1.29 % [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 ...
% 3.16/1.77 % [INFO] Killing All external provers ...
% 3.16/1.77 % Time passed: 1250ms (effective reasoning time: 791ms)
% 3.16/1.77 % 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)>
% 3.16/1.77 % Axioms used in derivation (0):
% 3.16/1.77 % No. of inferences in proof: 17
% 3.16/1.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1250 ms resp. 791 ms w/o parsing
% 3.16/1.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.16/1.80 % [INFO] Killing All external provers ...
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