TSTP Solution File: NUN025^3 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : NUN025^3 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 02:16:09 EDT 2024
% Result : Theorem 5.76s 2.63s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 266 ( 236 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 782 ( 94 ~; 55 |; 68 &; 541 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 160 ( 0 ^ 142 !; 18 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
thf(zero_type,type,
zero: $i ).
thf(s_type,type,
s: $i > $i ).
thf(ite_type,type,
ite: $o > $i > $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(1,conjecture,
( ( ! [A: $o,B: $i,C: $i] :
( A
=> ( ( ite @ A @ B @ C )
= B ) )
& ! [A: $o,B: $i,C: $i] :
( ~ A
=> ( ( ite @ A @ B @ C )
= C ) )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n10) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $o,B: $i,C: $i] :
( A
=> ( ( ite @ A @ B @ C )
= B ) )
& ! [A: $o,B: $i,C: $i] :
( ~ A
=> ( ( ite @ A @ B @ C )
= C ) )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $o,B: $i,C: $i] :
( A
=> ( ( ite @ A @ B @ C )
= B ) )
& ! [A: $o,B: $i,C: $i] :
( ~ A
=> ( ( ite @ A @ B @ C )
= C ) )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ! [A: $i,B: $i] :
( $true
=> ( ( ite @ $true @ A @ B )
= A ) )
& ! [A: $i,B: $i] :
( ~ $true
=> ( ( ite @ $true @ A @ B )
= B ) )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(instance,[status(thm)],[3]) ).
thf(5,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ite @ $true @ A @ B )
= A )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(simp,[status(thm)],[4]) ).
thf(12,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ite @ $true @ A @ B )
= A )
& ~ ? [A: $i] :
( ( s @ A )
= zero )
& ~ ? [A: $i] :
( ( s @ A )
= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(14,plain,
! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(38,plain,
! [A: $i] :
( ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) )
= ( h @ A ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(39,plain,
! [A: $i] :
( ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) )
= ( h @ A ) ),
inference(simp,[status(thm)],[38]) ).
thf(10,plain,
~ ( ( ! [A: $i,B: $i] :
( $false
=> ( ( ite @ $false @ A @ B )
= A ) )
& ! [A: $i,B: $i] :
( ~ $false
=> ( ( ite @ $false @ A @ B )
= B ) )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(instance,[status(thm)],[3]) ).
thf(11,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ite @ $false @ A @ B )
= B )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(simp,[status(thm)],[10]) ).
thf(30,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ite @ $false @ A @ B )
= B )
& ~ ? [A: $i] :
( ( s @ A )
= zero )
& ~ ? [A: $i] :
( ( s @ A )
= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(miniscope,[status(thm)],[11]) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( ite @ $false @ A @ B )
= B ),
inference(cnf,[status(esa)],[30]) ).
thf(61,plain,
! [B: $i,A: $i] :
( ( ite @ $false @ A @ B )
= B ),
inference(lifteq,[status(thm)],[34]) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ( ( h @ A )
= C )
| ( ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) )
!= ( ite @ $false @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[39,61]) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ( ( h @ A )
= C )
| ( A = zero )
| ( ( s @ zero )
!= B )
| ( ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) )
!= C ) ),
inference(simp,[status(thm)],[73]) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ( A = zero )
| ( ( h @ A )
= C )
| ( ( s @ zero )
!= B )
| ( ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) )
!= C ) ),
inference(lifteq,[status(thm)],[77]) ).
thf(81,plain,
! [A: $i] :
( ( A = zero )
| ( ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) )
= ( h @ A ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(257,plain,
! [C: $i,B: $i,A: $i] :
( ( A = zero )
| ( ( h @ A )
= C )
| ( ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) )
!= ( ite @ $false @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[81,61]) ).
thf(268,plain,
! [C: $i,B: $i,A: $i] :
( ( A = zero )
| ( ( h @ A )
= C )
| ( A
= ( s @ zero ) )
| ( zero != B )
| ( ( s @ zero )
!= C ) ),
inference(simp,[status(thm)],[257]) ).
thf(285,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( s @ zero ) )
| ( A = zero )
| ( ( h @ A )
= C )
| ( zero != B )
| ( ( s @ zero )
!= C ) ),
inference(lifteq,[status(thm)],[268]) ).
thf(286,plain,
! [A: $i] :
( ( A
= ( s @ zero ) )
| ( A = zero )
| ( ( h @ A )
= ( s @ zero ) ) ),
inference(simp,[status(thm)],[285]) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( ite @ $true @ A @ B )
= A ),
inference(cnf,[status(esa)],[12]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ( ite @ $true @ A @ B )
= A ),
inference(lifteq,[status(thm)],[16]) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( h @ C ) )
| ( ( ite @ $true @ A @ B )
!= ( ite @ ( C = zero ) @ ( s @ zero )
@ ( ite
@ ( C
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[66,39]) ).
thf(96,plain,
! [C: $i,B: $i,A: $i] :
( ( A
= ( h @ C ) )
| ( C != zero )
| ( A
!= ( s @ zero ) )
| ( B
!= ( ite
@ ( C
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ),
inference(simp,[status(thm)],[91]) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ( C != zero )
| ( A
= ( h @ C ) )
| ( A
!= ( s @ zero ) )
| ( B
!= ( ite
@ ( C
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ),
inference(lifteq,[status(thm)],[96]) ).
thf(99,plain,
( ( h @ zero )
= ( s @ zero ) ),
inference(simp,[status(thm)],[98]) ).
thf(35,plain,
! [A: $i > $i] :
( ( ( A @ zero )
!= ( s @ zero ) )
| ( ( A @ ( s @ zero ) )
!= zero )
| ( ( A @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference(cnf,[status(esa)],[30]) ).
thf(42,plain,
! [A: $i > $i] :
( ( ( A @ zero )
!= ( s @ zero ) )
| ( ( A @ ( s @ zero ) )
!= zero )
| ( ( A @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference(lifteq,[status(thm)],[35]) ).
thf(43,plain,
! [A: $i > $i] :
( ( ( A @ zero )
!= ( s @ zero ) )
| ( ( A @ ( s @ zero ) )
!= zero )
| ( ( A @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference(simp,[status(thm)],[42]) ).
thf(117,plain,
! [A: $i > $i] :
( ( ( A @ ( s @ zero ) )
!= zero )
| ( ( A @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) )
| ( ( h @ zero )
!= ( A @ zero ) ) ),
inference(paramod_ordered,[status(thm)],[99,43]) ).
thf(127,plain,
( ( ( h @ ( s @ zero ) )
!= zero )
| ( ( h @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference(pre_uni,[status(thm)],[117:[bind(A,$thf( h ))]]) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ( ( ite @ ( C = zero ) @ ( s @ zero ) @ A )
= ( h @ C ) )
| ( ( ite @ $true @ A @ B )
!= ( ite
@ ( C
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ),
inference(paramod_ordered,[status(thm)],[66,39]) ).
thf(97,plain,
! [C: $i,B: $i,A: $i] :
( ( ( ite @ ( C = zero ) @ ( s @ zero ) @ A )
= ( h @ C ) )
| ( C
!= ( s @ zero ) )
| ( A != zero )
| ( B
!= ( s @ zero ) ) ),
inference(simp,[status(thm)],[90]) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ( C
!= ( s @ zero ) )
| ( ( ite @ ( C = zero ) @ ( s @ zero ) @ A )
= ( h @ C ) )
| ( A != zero )
| ( B
!= ( s @ zero ) ) ),
inference(lifteq,[status(thm)],[97]) ).
thf(101,plain,
( ( ite
@ ( ( s @ zero )
= zero )
@ ( s @ zero )
@ zero )
= ( h @ ( s @ zero ) ) ),
inference(simp,[status(thm)],[100]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( B
= ( h @ ( s @ zero ) ) )
| ( ( ite @ $false @ A @ B )
!= ( ite
@ ( ( s @ zero )
= zero )
@ ( s @ zero )
@ zero ) ) ),
inference(paramod_ordered,[status(thm)],[61,101]) ).
thf(154,plain,
! [B: $i,A: $i] :
( ( B
= ( h @ ( s @ zero ) ) )
| ( ( s @ zero )
= zero )
| ( A
!= ( s @ zero ) )
| ( B != zero ) ),
inference(simp,[status(thm)],[144]) ).
thf(166,plain,
! [B: $i,A: $i] :
( ( ( s @ zero )
= zero )
| ( B
= ( h @ ( s @ zero ) ) )
| ( A
!= ( s @ zero ) )
| ( B != zero ) ),
inference(lifteq,[status(thm)],[154]) ).
thf(167,plain,
( ( ( s @ zero )
= zero )
| ( ( h @ ( s @ zero ) )
= zero ) ),
inference(simp,[status(thm)],[166]) ).
thf(6,plain,
~ ( ( ! [A: $i,B: $i] :
( $true
=> ( ( ite @ $true @ A @ B )
= A ) )
& ! [A: $i,B: $i] :
( ~ $false
=> ( ( ite @ $false @ A @ B )
= B ) )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(instance,[status(thm)],[3]) ).
thf(7,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ite @ $true @ A @ B )
= A )
& ! [A: $i,B: $i] :
( ( ite @ $false @ A @ B )
= B )
& ! [A: $i] :
( ( s @ A )
!= zero )
& ! [A: $i] :
( ( s @ A )
!= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(18,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ite @ $true @ A @ B )
= A )
& ! [A: $i,B: $i] :
( ( ite @ $false @ A @ B )
= B )
& ~ ? [A: $i] :
( ( s @ A )
= zero )
& ~ ? [A: $i] :
( ( s @ A )
= A )
& ! [A: $i] :
( ( h @ A )
= ( ite @ ( A = zero ) @ ( s @ zero )
@ ( ite
@ ( A
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [A: $i > $i] :
( ( ( A @ zero )
= ( s @ zero ) )
& ( ( A @ ( s @ zero ) )
= zero )
& ( ( A @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) ) ) ),
inference(miniscope,[status(thm)],[7]) ).
thf(19,plain,
! [A: $i] :
( ( s @ A )
!= zero ),
inference(cnf,[status(esa)],[18]) ).
thf(44,plain,
! [A: $i] :
( ( s @ A )
!= zero ),
inference(lifteq,[status(thm)],[19]) ).
thf(45,plain,
! [A: $i] :
( ( s @ A )
!= zero ),
inference(simp,[status(thm)],[44]) ).
thf(195,plain,
( ( h @ ( s @ zero ) )
= zero ),
inference(simplifyReflect,[status(thm)],[167,45]) ).
thf(197,plain,
( ( zero != zero )
| ( ( h @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ) ),
inference(rewrite,[status(thm)],[127,195]) ).
thf(198,plain,
( ( h @ ( s @ ( s @ zero ) ) )
!= ( s @ zero ) ),
inference(simp,[status(thm)],[197]) ).
thf(352,plain,
! [A: $i] :
( ( A
= ( s @ zero ) )
| ( A = zero )
| ( ( h @ A )
!= ( h @ ( s @ ( s @ zero ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[286,198]) ).
thf(353,plain,
( ( ( s @ ( s @ zero ) )
= ( s @ zero ) )
| ( ( s @ ( s @ zero ) )
= zero ) ),
inference(pattern_uni,[status(thm)],[352:[bind(A,$thf( s @ ( s @ zero ) ))]]) ).
thf(24,plain,
! [A: $i] :
( ( s @ A )
!= A ),
inference(cnf,[status(esa)],[18]) ).
thf(36,plain,
! [A: $i] :
( ( s @ A )
!= A ),
inference(lifteq,[status(thm)],[24]) ).
thf(37,plain,
! [A: $i] :
( ( s @ A )
!= A ),
inference(simp,[status(thm)],[36]) ).
thf(363,plain,
$false,
inference(simplifyReflect,[status(thm)],[353,37,45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUN025^3 : TPTP v8.2.0. Released v6.4.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.18/0.38 % Computer : n015.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Sat May 18 15:05:09 EDT 2024
% 0.18/0.38 % CPUTime :
% 1.05/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.36/1.08 % [INFO] Parsing done (146ms).
% 1.36/1.09 % [INFO] Running in sequential loop mode.
% 1.72/1.35 % [INFO] eprover registered as external prover.
% 1.72/1.35 % [INFO] cvc4 registered as external prover.
% 1.72/1.36 % [INFO] Scanning for conjecture ...
% 2.06/1.47 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.06/1.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.06/1.51 % [INFO] Problem is higher-order (TPTP THF).
% 2.06/1.51 % [INFO] Type checking passed.
% 2.06/1.52 % [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 ...
% 5.76/2.63 % [INFO] Killing All external provers ...
% 5.76/2.63 % Time passed: 2071ms (effective reasoning time: 1531ms)
% 5.76/2.63 % 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)>
% 5.76/2.63 % Axioms used in derivation (0):
% 5.76/2.63 % No. of inferences in proof: 56
% 5.76/2.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2071 ms resp. 1531 ms w/o parsing
% 5.76/2.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.76/2.69 % [INFO] Killing All external provers ...
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