TSTP Solution File: SYO617-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 12:36:43 EDT 2023
% Result : Unsatisfiable 49.24s 8.83s
% Output : Refutation 49.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 23 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 142 ( 22 ~; 20 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(le_type,type,
le: $i > $i > $o ).
thf(max_type,type,
max: $i > $i > $i ).
thf(eq_type,type,
eq: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(a0_type,type,
a0: $i ).
thf(a1_type,type,
a1: $i ).
thf(a2_type,type,
a2: $i ).
thf(s_type,type,
s: $i > $i ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( eq @ ( f @ A ) @ a0 )
| ( eq @ ( f @ A ) @ a1 )
| ( eq @ ( f @ A ) @ a2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
thf(13,plain,
! [A: $i] :
( ( eq @ ( f @ A ) @ a0 )
| ( eq @ ( f @ A ) @ a1 )
| ( eq @ ( f @ A ) @ a2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( eq @ ( f @ A ) @ a1 )
| ~ ( eq @ ( f @ B ) @ a1 )
| ~ ( le @ ( s @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( eq @ ( f @ A ) @ a1 )
| ~ ( eq @ ( f @ B ) @ a1 )
| ~ ( le @ ( s @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,axiom,
! [A: $i] : ( le @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
thf(8,plain,
! [A: $i] : ( le @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( eq @ ( f @ A ) @ a2 )
| ~ ( eq @ ( f @ B ) @ a2 )
| ~ ( le @ ( s @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( eq @ ( f @ A ) @ a2 )
| ~ ( eq @ ( f @ B ) @ a2 )
| ~ ( le @ ( s @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( eq @ ( f @ A ) @ a0 )
| ~ ( eq @ ( f @ B ) @ a0 )
| ~ ( le @ ( s @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( eq @ ( f @ A ) @ a0 )
| ~ ( eq @ ( f @ B ) @ a0 )
| ~ ( le @ ( s @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6413,plain,
$false,
inference(e,[status(thm)],[9,13,17,11,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n011.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 18:46:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.92/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (112ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.58/1.17 % [INFO] eprover registered as external prover.
% 1.58/1.17 % [INFO] cvc4 registered as external prover.
% 1.58/1.17 % [INFO] Scanning for conjecture ...
% 1.70/1.20 % [INFO] 7 axioms and no conjecture found.
% 1.70/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.70/1.23 % [INFO] Type checking passed.
% 1.70/1.24 % [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 ...
% 49.24/8.82 % External prover 'e' found a proof!
% 49.24/8.83 % [INFO] Killing All external provers ...
% 49.24/8.83 % Time passed: 8298ms (effective reasoning time: 7855ms)
% 49.24/8.83 % Axioms used in derivation (7): sos_01, sos_05, sos_02, sos_06, sos_03, sos_07, sos_04
% 49.24/8.83 % No. of inferences in proof: 15
% 49.24/8.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8298 ms resp. 7855 ms w/o parsing
% 49.24/8.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 49.24/8.84 % [INFO] Killing All external provers ...
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