TSTP Solution File: RNG086+2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : RNG086+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 02:38:18 EDT 2024
% Result : Theorem 6.24s 2.82s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 5 unt; 11 typ; 0 def)
% Number of atoms : 57 ( 15 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 175 ( 16 ~; 8 |; 32 &; 119 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 26 ( 0 ^ 6 !; 20 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(xI_type,type,
xI: $i ).
thf(xJ_type,type,
xJ: $i ).
thf(xx_type,type,
xx: $i ).
thf(xy_type,type,
xy: $i ).
thf(xz_type,type,
xz: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(17,axiom,
( ? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( ( sdtpldt0 @ A @ B )
= xx ) )
& ( aElementOf0 @ xx @ ( sdtpldt1 @ xI @ xJ ) )
& ? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( ( sdtpldt0 @ A @ B )
= xy ) )
& ( aElementOf0 @ xy @ ( sdtpldt1 @ xI @ xJ ) )
& ( aElement0 @ xz ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
thf(73,plain,
( ? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( ( sdtpldt0 @ A @ B )
= xx ) )
& ( aElementOf0 @ xx @ ( sdtpldt1 @ xI @ xJ ) )
& ? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( ( sdtpldt0 @ A @ B )
= xy ) )
& ( aElementOf0 @ xy @ ( sdtpldt1 @ xI @ xJ ) )
& ( aElement0 @ xz ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(74,plain,
( ? [A: $i] :
( ( aElementOf0 @ A @ xI )
& ? [B: $i] :
( ( aElementOf0 @ B @ xJ )
& ( ( sdtpldt0 @ A @ B )
= xx ) ) )
& ( aElementOf0 @ xx @ ( sdtpldt1 @ xI @ xJ ) )
& ? [A: $i] :
( ( aElementOf0 @ A @ xI )
& ? [B: $i] :
( ( aElementOf0 @ B @ xJ )
& ( ( sdtpldt0 @ A @ B )
= xy ) ) )
& ( aElementOf0 @ xy @ ( sdtpldt1 @ xI @ xJ ) )
& ( aElement0 @ xz ) ),
inference(miniscope,[status(thm)],[73]) ).
thf(81,plain,
( ( sdtpldt0 @ sk1 @ sk2 )
= xx ),
inference(cnf,[status(esa)],[74]) ).
thf(84,plain,
( ( sdtpldt0 @ sk1 @ sk2 )
= xx ),
inference(lifteq,[status(thm)],[81]) ).
thf(1,conjecture,
? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( xx
= ( sdtpldt0 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( xx
= ( sdtpldt0 @ A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(29,plain,
~ ? [A: $i,B: $i] :
( ( aElementOf0 @ A @ xI )
& ( aElementOf0 @ B @ xJ )
& ( xx
= ( sdtpldt0 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(30,plain,
~ ? [A: $i] :
( ( aElementOf0 @ A @ xI )
& ? [B: $i] :
( ( aElementOf0 @ B @ xJ )
& ( xx
= ( sdtpldt0 @ A @ B ) ) ) ),
inference(miniscope,[status(thm)],[29]) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( aElementOf0 @ A @ xI )
| ~ ( aElementOf0 @ B @ xJ )
| ( xx
!= ( sdtpldt0 @ A @ B ) ) ),
inference(cnf,[status(esa)],[30]) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( ( sdtpldt0 @ A @ B )
!= xx )
| ~ ( aElementOf0 @ A @ xI )
| ~ ( aElementOf0 @ B @ xJ ) ),
inference(lifteq,[status(thm)],[31]) ).
thf(321,plain,
! [B: $i,A: $i] :
( ~ ( aElementOf0 @ A @ xI )
| ~ ( aElementOf0 @ B @ xJ )
| ( ( sdtpldt0 @ sk1 @ sk2 )
!= ( sdtpldt0 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[84,32]) ).
thf(322,plain,
( ~ ( aElementOf0 @ sk1 @ xI )
| ~ ( aElementOf0 @ sk2 @ xJ ) ),
inference(pattern_uni,[status(thm)],[321:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(83,plain,
aElementOf0 @ sk1 @ xI,
inference(cnf,[status(esa)],[74]) ).
thf(76,plain,
aElementOf0 @ sk2 @ xJ,
inference(cnf,[status(esa)],[74]) ).
thf(451,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[322,83,76]) ).
thf(452,plain,
$false,
inference(simp,[status(thm)],[451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : RNG086+2 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 12:05:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.90/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.36/1.08 % [INFO] Parsing done (168ms).
% 1.36/1.10 % [INFO] Running in sequential loop mode.
% 1.91/1.42 % [INFO] nitpick registered as external prover.
% 1.91/1.42 % [INFO] Scanning for conjecture ...
% 1.99/1.51 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.99/1.52 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.99/1.53 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.15/1.55 % [INFO] Found a conjecture (or negated_conjecture) and 26 axioms. Running axiom selection ...
% 2.26/1.61 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 2.26/1.64 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.26/1.64 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.26/1.65 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.26/1.65 % [INFO] Problem is first-order (TPTP FOF).
% 2.26/1.66 % [INFO] Type checking passed.
% 2.50/1.66 % [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 ...
% 6.24/2.81 % [INFO] Killing All external provers ...
% 6.24/2.81 % Time passed: 2350ms (effective reasoning time: 1712ms)
% 6.24/2.81 % 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)>
% 6.24/2.82 % Axioms used in derivation (1): m__901
% 6.24/2.82 % No. of inferences in proof: 17
% 6.24/2.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2350 ms resp. 1712 ms w/o parsing
% 6.24/2.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.24/2.84 % [INFO] Killing All external provers ...
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