TSTP Solution File: SYO691-1.000 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 12:37:04 EDT 2023
% Result : Unsatisfiable 2.67s 1.53s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 126 ( 12 ~; 10 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(seq_type,type,
seq: $i > $i > $i > $o ).
thf(succ_type,type,
succ: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(top_type,type,
top: $i > $i > $o ).
thf(f_type,type,
f: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(step_type,type,
step: $i > $i > $o ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] : ( top @ ( f @ ( f @ A @ B ) @ ( f @ C @ a ) ) @ ( f @ ( f @ C @ ( f @ B @ a ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] : ( top @ ( f @ ( f @ A @ B ) @ ( f @ C @ a ) ) @ ( f @ ( f @ C @ ( f @ B @ a ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( step @ A @ B )
| ( step @ ( f @ A @ C ) @ ( f @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_left) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( step @ A @ B )
| ( step @ ( f @ A @ C ) @ ( f @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i] : ( seq @ zero @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
thf(17,plain,
! [A: $i] : ( seq @ zero @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( seq @ A @ B @ C )
| ~ ( step @ C @ D )
| ( seq @ ( succ @ A ) @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
thf(18,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( seq @ A @ B @ C )
| ~ ( step @ C @ D )
| ( seq @ ( succ @ A ) @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( top @ A @ B )
| ( step @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_top) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( top @ A @ B )
| ( step @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( seq @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
thf(8,plain,
! [A: $i] :
~ ( seq @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( step @ A @ B )
| ( step @ ( f @ C @ A ) @ ( f @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_right) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( step @ A @ B )
| ( step @ ( f @ C @ A ) @ ( f @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,13,17,18,11,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 18:15:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (107ms).
% 1.23/0.94 % [INFO] Running in sequential loop mode.
% 1.47/1.14 % [INFO] eprover registered as external prover.
% 1.47/1.14 % [INFO] cvc4 registered as external prover.
% 1.47/1.15 % [INFO] Scanning for conjecture ...
% 1.74/1.19 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.82/1.21 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.82/1.22 % [INFO] Problem is propositional (TPTP CNF).
% 1.82/1.22 % [INFO] Type checking passed.
% 1.82/1.22 % [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 ...
% 2.67/1.53 % External prover 'e' found a proof!
% 2.67/1.53 % [INFO] Killing All external provers ...
% 2.67/1.53 % Time passed: 1021ms (effective reasoning time: 584ms)
% 2.67/1.53 % 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)>
% 2.67/1.53 % Axioms used in derivation (6): rewrite_right, rewrite_top, rule_1, rewrite_sequence_succ, rewrite_sequence_zero, rewrite_left
% 2.67/1.53 % No. of inferences in proof: 15
% 2.67/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1021 ms resp. 584 ms w/o parsing
% 2.67/1.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.67/1.56 % [INFO] Killing All external provers ...
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