TSTP Solution File: SYN986+1.003 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 12:33:11 EDT 2023
% Result : Theorem 2.56s 1.57s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 2 ~; 0 |; 9 &; 64 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 0 ^; 10 !; 12 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_type,type,
r: $i > $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(1,conjecture,
? [A: $i,B: $i,C: $i,D: $i] :
( ( r @ zero @ zero @ A )
& ( r @ zero @ A @ B )
& ( r @ zero @ B @ C )
& ( r @ zero @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( r @ zero @ zero @ A )
& ( r @ zero @ A @ B )
& ( r @ zero @ B @ C )
& ( r @ zero @ C @ D ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( r @ zero @ zero @ A )
& ( r @ zero @ A @ B )
& ( r @ zero @ B @ C )
& ( r @ zero @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( r @ A @ zero @ ( succ @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(8,plain,
! [A: $i] : ( r @ A @ zero @ ( succ @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( r @ A @ B @ C )
=> ( ( r @ C @ B @ D )
=> ( r @ A @ ( succ @ B ) @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(10,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( r @ A @ B @ C )
=> ( ( r @ C @ B @ D )
=> ( r @ A @ ( succ @ B ) @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,plain,
$false,
inference(e,[status(thm)],[5,8,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n027.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 : Thu May 18 19:46:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.84/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.97 % [INFO] Parsing done (116ms).
% 1.16/0.98 % [INFO] Running in sequential loop mode.
% 1.63/1.19 % [INFO] eprover registered as external prover.
% 1.63/1.19 % [INFO] cvc4 registered as external prover.
% 1.63/1.20 % [INFO] Scanning for conjecture ...
% 1.80/1.25 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.80/1.28 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.80/1.28 % [INFO] Problem is first-order (TPTP FOF).
% 1.80/1.29 % [INFO] Type checking passed.
% 1.80/1.29 % [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 ...
% 2.56/1.57 % External prover 'e' found a proof!
% 2.56/1.57 % [INFO] Killing All external provers ...
% 2.56/1.57 % Time passed: 1053ms (effective reasoning time: 592ms)
% 2.56/1.57 % 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)>
% 2.56/1.57 % Axioms used in derivation (2): hyp1, hyp2
% 2.56/1.57 % No. of inferences in proof: 8
% 2.56/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1053 ms resp. 592 ms w/o parsing
% 2.56/1.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.56/1.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------