TSTP Solution File: SYN721-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYN721-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 08:19:12 EDT 2024
% Result : Unsatisfiable 2.71s 1.92s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 37 ( 3 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 94 ( 18 ~; 12 |; 0 &; 64 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 ^ 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_type,type,
r: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(q_type,type,
q: $i > $i > $o ).
thf(1,negated_conjecture,
r @ a @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_1) ).
thf(5,plain,
r @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ( q @ A @ A )
| ~ ( r @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_2) ).
thf(6,plain,
! [B: $i,A: $i] :
( ( q @ A @ A )
| ~ ( r @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( q @ A @ A )
| ~ ( r @ A @ B ) ),
inference(cnf,[status(esa)],[6]) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( q @ A @ A )
| ( ( r @ a @ b )
!= ( r @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5,9]) ).
thf(16,plain,
q @ a @ a,
inference(pattern_uni,[status(thm)],[15:[bind(A,$thf( a )),bind(B,$thf( b ))]]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( q @ A @ a )
| ~ ( r @ b @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_4) ).
thf(8,plain,
! [A: $i] :
( ~ ( q @ A @ a )
| ~ ( r @ b @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,plain,
! [A: $i] :
( ~ ( q @ A @ a )
| ~ ( r @ b @ A ) ),
inference(cnf,[status(esa)],[8]) ).
thf(26,plain,
! [A: $i] :
( ~ ( r @ b @ A )
| ( ( q @ a @ a )
!= ( q @ A @ a ) ) ),
inference(paramod_ordered,[status(thm)],[16,11]) ).
thf(27,plain,
~ ( r @ b @ a ),
inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( a ))]]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( r @ A @ B )
| ~ ( q @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_3) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ( r @ A @ B )
| ~ ( q @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ( r @ A @ B )
| ~ ( q @ C @ B ) ),
inference(cnf,[status(esa)],[7]) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( r @ A @ B )
| ( ( q @ a @ a )
!= ( q @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[16,10]) ).
thf(38,plain,
! [A: $i] : ( r @ A @ a ),
inference(pattern_uni,[status(thm)],[37:[bind(A,$thf( A )),bind(B,$thf( a )),bind(C,$thf( a ))]]) ).
thf(40,plain,
~ $true,
inference(rewrite,[status(thm)],[27,38]) ).
thf(41,plain,
$false,
inference(simp,[status(thm)],[40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : SYN721-1 : TPTP v8.2.0. Released v2.5.0.
% 0.02/0.16 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 14:06:09 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.98/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.06/1.03 % [INFO] Parsing done (104ms).
% 1.06/1.04 % [INFO] Running in sequential loop mode.
% 1.52/1.31 % [INFO] nitpick registered as external prover.
% 1.52/1.31 % [INFO] Scanning for conjecture ...
% 1.77/1.37 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.77/1.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.77/1.41 % [INFO] Problem is propositional (TPTP CNF).
% 1.77/1.42 % [INFO] Type checking passed.
% 1.77/1.42 % [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 ...
% 2.71/1.91 % [INFO] Killing All external provers ...
% 2.71/1.92 % Time passed: 1397ms (effective reasoning time: 866ms)
% 2.71/1.92 % Axioms used in derivation (0):
% 2.71/1.92 % No. of inferences in proof: 19
% 2.71/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1397 ms resp. 866 ms w/o parsing
% 2.71/1.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.71/1.94 % [INFO] Killing All external provers ...
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