TSTP Solution File: SYO038^1.003.004 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO038^1.003.004 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 08:55:31 EDT 2024
% Result : Theorem 20.11s 4.61s
% Output : Refutation 20.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 12 unt; 4 typ; 0 def)
% Number of atoms : 16 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 74 ( 2 ~; 0 |; 0 &; 70 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 ^ 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(one_type,type,
one: $i ).
thf(s_type,type,
s: $i > $i ).
thf(f_type,type,
f: $i > $i > $i ).
thf(d_type,type,
d: $i > $o ).
thf(3,axiom,
! [A: $i] :
( ( f @ A @ one )
= ( s @ one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(9,plain,
! [A: $i] :
( ( f @ A @ one )
= ( s @ one ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( f @ one @ ( s @ A ) )
= ( s @ ( s @ ( f @ one @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(12,plain,
! [A: $i] :
( ( f @ one @ ( s @ A ) )
= ( s @ ( s @ ( f @ one @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
d @ one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(18,plain,
d @ one,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
d @ ( f @ ( s @ ( s @ one ) ) @ ( s @ ( s @ ( s @ one ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( d @ ( f @ ( s @ ( s @ one ) ) @ ( s @ ( s @ ( s @ one ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( d @ ( f @ ( s @ ( s @ one ) ) @ ( s @ ( s @ ( s @ one ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ( d @ A )
=> ( d @ ( s @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(19,plain,
! [A: $i] :
( ( d @ A )
=> ( d @ ( s @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( f @ ( s @ A ) @ ( s @ B ) )
= ( f @ A @ ( f @ ( s @ A ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(15,plain,
! [A: $i,B: $i] :
( ( f @ ( s @ A ) @ ( s @ B ) )
= ( f @ A @ ( f @ ( s @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2825,plain,
$false,
inference(e,[status(thm)],[9,12,18,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYO038^1.003.004 : TPTP v8.2.0. Released v5.3.0.
% 0.04/0.11 % Command : run_Leo-III %s %d
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Mon May 20 10:18:24 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.87/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.08 % [INFO] Parsing done (158ms).
% 1.28/1.09 % [INFO] Running in sequential loop mode.
% 1.80/1.44 % [INFO] eprover registered as external prover.
% 1.80/1.44 % [INFO] cvc4 registered as external prover.
% 1.80/1.45 % [INFO] Scanning for conjecture ...
% 1.88/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.97/1.55 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.05/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.05/1.57 % [INFO] Type checking passed.
% 2.05/1.58 % [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 ...
% 20.11/4.60 % External prover 'e' found a proof!
% 20.11/4.60 % [INFO] Killing All external provers ...
% 20.11/4.61 % Time passed: 4152ms (effective reasoning time: 3509ms)
% 20.11/4.61 % 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)>
% 20.11/4.61 % Axioms used in derivation (5): ax4, ax1, ax2, ax3, ax5
% 20.11/4.61 % No. of inferences in proof: 14
% 20.11/4.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4152 ms resp. 3509 ms w/o parsing
% 20.11/4.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.11/4.63 % [INFO] Killing All external provers ...
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