TSTP Solution File: SYN068-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN068-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 12:27:11 EDT 2023
% Result : Unsatisfiable 2.65s 1.58s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 3 unt; 7 typ; 0 def)
% Number of atoms : 27 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 66 ( 14 ~; 12 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_j_type,type,
big_j: $i > $o ).
thf(big_f_type,type,
big_f: $i > $o ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(big_h_type,type,
big_h: $i > $i > $o ).
thf(g_type,type,
g: $i > $i ).
thf(a_type,type,
a: $i ).
thf(2,axiom,
! [A: $i] :
( ~ ( big_f @ A )
| ( big_g @ ( f @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(10,plain,
! [A: $i] :
( ~ ( big_f @ A )
| ( big_g @ ( f @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ~ ( big_f @ A )
| ( big_g @ ( g @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(14,plain,
! [A: $i] :
( ~ ( big_f @ A )
| ( big_g @ ( g @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( big_f @ A )
| ( big_h @ A @ ( f @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(12,plain,
! [A: $i] :
( ~ ( big_f @ A )
| ( big_h @ A @ ( f @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
big_j @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(18,plain,
big_j @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( big_f @ A )
| ~ ( big_h @ A @ ( g @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(16,plain,
! [A: $i] :
( ~ ( big_f @ A )
| ~ ( big_h @ A @ ( g @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( big_j @ A )
| ( big_f @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(8,plain,
! [A: $i] :
( ~ ( big_j @ A )
| ( big_f @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( big_g @ A )
| ( big_h @ a @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(19,plain,
! [A: $i] :
( ~ ( big_g @ A )
| ( big_h @ a @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,14,12,18,16,8,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN068-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n019.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 19:40:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.99 % [INFO] Parsing done (118ms).
% 1.20/1.00 % [INFO] Running in sequential loop mode.
% 1.66/1.20 % [INFO] eprover registered as external prover.
% 1.66/1.20 % [INFO] cvc4 registered as external prover.
% 1.66/1.20 % [INFO] Scanning for conjecture ...
% 1.82/1.25 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.82/1.27 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.82/1.27 % [INFO] Problem is propositional (TPTP CNF).
% 1.82/1.27 % [INFO] Type checking passed.
% 1.82/1.28 % [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 ...
% 2.65/1.58 % External prover 'e' found a proof!
% 2.65/1.58 % [INFO] Killing All external provers ...
% 2.65/1.58 % Time passed: 1071ms (effective reasoning time: 582ms)
% 2.65/1.58 % 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)>
% 2.65/1.58 % Axioms used in derivation (6): clause_5, clause_2, clause_1, clause_4, clause_6, clause_3
% 2.65/1.58 % No. of inferences in proof: 15
% 2.65/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1071 ms resp. 582 ms w/o parsing
% 2.84/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.84/1.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------