TSTP Solution File: SYN067+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 : Theorem 3.32s 1.75s
% Output : Refutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 36 ( 18 avg)
% Number of connectives : 187 ( 14 ~; 16 |; 41 &; 104 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 8 !; 32 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(a_type,type,
a: $i ).
thf(big_r_type,type,
big_r: $i > $i > $o ).
thf(1,conjecture,
( ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) ) ) )
=> ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
<=> ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
& ( ~ ( big_p @ a )
| ~ ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) ) ) )
=> ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
<=> ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
& ( ~ ( big_p @ a )
| ~ ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) ) ) )
=> ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
=> ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
& ( ~ ( big_p @ a )
| ~ ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) ) ) )
& ( ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) )
& ( ~ ( big_p @ a )
| ~ ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) )
| ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) ) )
=> ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ? [B: $i] :
( ( big_p @ B )
& ( big_r @ A @ B ) ) ) )
=> ? [B: $i,C: $i] :
( ( big_p @ B )
& ( big_r @ A @ C )
& ( big_r @ C @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n002.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 19:42:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.94/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.02 % [INFO] Parsing done (124ms).
% 1.22/1.03 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] eprover registered as external prover.
% 1.72/1.23 % [INFO] cvc4 registered as external prover.
% 1.72/1.23 % [INFO] Scanning for conjecture ...
% 1.82/1.29 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.82/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.82/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 1.82/1.32 % [INFO] Type checking passed.
% 1.82/1.32 % [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 ...
% 3.07/1.74 % External prover 'cvc4' found a proof!
% 3.07/1.75 % [INFO] Killing All external provers ...
% 3.07/1.75 % Time passed: 1211ms (effective reasoning time: 713ms)
% 3.07/1.75 % 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)>
% 3.32/1.75 % Axioms used in derivation (0):
% 3.32/1.75 % No. of inferences in proof: 4
% 3.32/1.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1211 ms resp. 713 ms w/o parsing
% 3.32/1.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.32/1.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------