TSTP Solution File: SYO607+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 : Fri May 19 12:36:41 EDT 2023
% Result : Theorem 3.03s 1.76s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 6 avg)
% Number of connectives : 231 ( 26 ~; 13 |; 39 &; 144 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 25 !; 36 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_false_only_type,type,
g_false_only: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(g_true_only_type,type,
g_true_only: $i > $i > $o ).
thf(g_both_type,type,
g_both: $i > $i > $o ).
thf(g_true_type,type,
g_true: $i > $i > $o ).
thf(g_false_type,type,
g_false: $i > $i > $o ).
thf(1,conjecture,
( ? [A: $i] :
( ( g_false_only @ a @ A )
& ? [B: $i] : ( g_false_only @ A @ B ) )
| ? [A: $i] :
! [B: $i] : ( g_true_only @ A @ B )
| ( ? [A: $i] :
( ( ( g_both @ a @ A )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_false_only @ A @ B ) ) )
& ~ ( g_true_only @ a @ A )
& ~ ! [B: $i] : ( g_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( g_false_only @ a @ A )
& ? [B: $i] : ( g_false_only @ A @ B ) )
& ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_false_only @ A @ B ) )
& ~ ? [A: $i] :
! [B: $i] : ( g_true_only @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc6) ).
thf(2,negated_conjecture,
~ ( ? [A: $i] :
( ( g_false_only @ a @ A )
& ? [B: $i] : ( g_false_only @ A @ B ) )
| ? [A: $i] :
! [B: $i] : ( g_true_only @ A @ B )
| ( ? [A: $i] :
( ( ( g_both @ a @ A )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_false_only @ A @ B ) ) )
& ~ ( g_true_only @ a @ A )
& ~ ! [B: $i] : ( g_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( g_false_only @ a @ A )
& ? [B: $i] : ( g_false_only @ A @ B ) )
& ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_false_only @ A @ B ) )
& ~ ? [A: $i] :
! [B: $i] : ( g_true_only @ A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( ? [A: $i] :
( ( g_false_only @ a @ A )
& ? [B: $i] : ( g_false_only @ A @ B ) )
| ? [A: $i] :
! [B: $i] : ( g_true_only @ A @ B )
| ( ? [A: $i] :
( ( ( g_both @ a @ A )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_false_only @ A @ B ) ) )
& ~ ( g_true_only @ a @ A )
& ~ ! [B: $i] : ( g_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( g_false_only @ a @ A )
& ? [B: $i] : ( g_false_only @ A @ B ) )
& ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_false_only @ A @ B ) )
& ~ ? [A: $i] :
! [B: $i] : ( g_true_only @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( g_false_only @ A @ B )
<=> ( ( g_false @ A @ B )
& ~ ( g_true @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_only_g) ).
thf(31,plain,
! [A: $i,B: $i] :
( ( ( g_false_only @ A @ B )
=> ( ( g_false @ A @ B )
& ~ ( g_true @ A @ B ) ) )
& ( ( ( g_false @ A @ B )
& ~ ( g_true @ A @ B ) )
=> ( g_false_only @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( g_true_only @ A @ B )
<=> ( ( g_true @ A @ B )
& ~ ( g_false @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_only_g) ).
thf(19,plain,
! [A: $i,B: $i] :
( ( ( g_true_only @ A @ B )
=> ( ( g_true @ A @ B )
& ~ ( g_false @ A @ B ) ) )
& ( ( ( g_true @ A @ B )
& ~ ( g_false @ A @ B ) )
=> ( g_true_only @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( g_true_only @ A @ B )
| ( g_both @ A @ B )
| ( g_false_only @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( g_true_only @ A @ B )
| ( g_both @ A @ B )
| ( g_false_only @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( g_both @ A @ B )
<=> ( ( g_true @ A @ B )
& ( g_false @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( ( g_both @ A @ B )
=> ( ( g_true @ A @ B )
& ( g_false @ A @ B ) ) )
& ( ( ( g_true @ A @ B )
& ( g_false @ A @ B ) )
=> ( g_both @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(41,plain,
$false,
inference(e,[status(thm)],[7,31,19,37,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n020.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 : Thu May 18 18:14:03 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.99/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/1.01 % [INFO] Parsing done (111ms).
% 1.19/1.01 % [INFO] Running in sequential loop mode.
% 1.65/1.22 % [INFO] eprover registered as external prover.
% 1.65/1.22 % [INFO] cvc4 registered as external prover.
% 1.78/1.23 % [INFO] Scanning for conjecture ...
% 1.83/1.29 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 2.02/1.32 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.02/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 2.02/1.33 % [INFO] Type checking passed.
% 2.02/1.33 % [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 ...
% 3.03/1.75 % External prover 'e' found a proof!
% 3.03/1.75 % [INFO] Killing All external provers ...
% 3.03/1.75 % Time passed: 1224ms (effective reasoning time: 739ms)
% 3.03/1.75 % 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)>
% 3.03/1.76 % Axioms used in derivation (4): false_only_g, true_only_g, exhaustion_g, both_g
% 3.03/1.76 % No. of inferences in proof: 12
% 3.03/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1224 ms resp. 739 ms w/o parsing
% 3.33/1.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/1.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------