TSTP Solution File: SEV515+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 12:06:59 EDT 2023
% Result : Theorem 3.57s 1.83s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 106 ( 0 equ; 0 cnn)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 318 ( 14 ~; 40 |; 45 &; 210 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 22 !; 15 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_true_only_type,type,
g_true_only: $i > $i > $o ).
thf(g_both_type,type,
g_both: $i > $i > $o ).
thf(g_false_only_type,type,
g_false_only: $i > $i > $o ).
thf(g_true_type,type,
g_true: $i > $i > $o ).
thf(g_false_type,type,
g_false: $i > $i > $o ).
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(57,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(45,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(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(51,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(1,conjecture,
( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
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(39,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(61,plain,
$false,
inference(e,[status(thm)],[57,45,51,7,39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n019.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu May 18 13:54:28 EDT 2023
% 0.16/0.38 % CPUTime :
% 1.03/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/1.01 % [INFO] Parsing done (125ms).
% 1.35/1.02 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] eprover registered as external prover.
% 1.72/1.23 % [INFO] cvc4 registered as external prover.
% 1.80/1.23 % [INFO] Scanning for conjecture ...
% 1.80/1.30 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.80/1.32 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.09/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 2.09/1.34 % [INFO] Type checking passed.
% 2.09/1.34 % [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 ...
% 3.57/1.83 % External prover 'e' found a proof!
% 3.57/1.83 % [INFO] Killing All external provers ...
% 3.57/1.83 % Time passed: 1280ms (effective reasoning time: 800ms)
% 3.57/1.83 % 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)>
% 3.57/1.83 % Axioms used in derivation (4): exhaustion_g, both_g, false_only_g, true_only_g
% 3.57/1.83 % No. of inferences in proof: 12
% 3.57/1.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1280 ms resp. 800 ms w/o parsing
% 3.57/1.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.57/1.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------