TSTP Solution File: SEV097^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV097^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n001.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 : Mon Jun 24 15:59:31 EDT 2024
% Result : Theorem 2.61s 1.56s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 1 equ; 0 cnn)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 189 ( 10 ~; 4 |; 28 &; 127 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 ^ 57 !; 10 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(z_type,type,
z: a ).
thf(cR_type,type,
cR: a > a > $o ).
thf(f_type,type,
f: a > b > $o ).
thf(cS_type,type,
cS: b > b > $o ).
thf(sk1_type,type,
sk1: a > b ).
thf(sk2_type,type,
sk2: a ).
thf(1,conjecture,
( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ C @ B ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A ) )
=> ( ( ! [A: a] :
? [B: b] : ( f @ A @ B )
& ! [A: a,B: b,C: b] :
( ( ( f @ A @ B )
& ( f @ A @ C ) )
=> ( cS @ B @ C ) )
& ! [A: a,B: a,C: b] :
( ( ( f @ A @ C )
& ( f @ B @ C ) )
=> ( cR @ A @ B ) ) )
=> ! [A: a] :
? [B: b] :
! [C: a] :
( ( f @ A @ B )
| ( ~ ( f @ C @ B )
& ( cR @ A @ z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM552C_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ C @ B ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A ) )
=> ( ( ! [A: a] :
? [B: b] : ( f @ A @ B )
& ! [A: a,B: b,C: b] :
( ( ( f @ A @ B )
& ( f @ A @ C ) )
=> ( cS @ B @ C ) )
& ! [A: a,B: a,C: b] :
( ( ( f @ A @ C )
& ( f @ B @ C ) )
=> ( cR @ A @ B ) ) )
=> ! [A: a] :
? [B: b] :
! [C: a] :
( ( f @ A @ B )
| ( ~ ( f @ C @ B )
& ( cR @ A @ z ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ C @ B ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A ) )
=> ( ( ! [A: a] :
? [B: b] : ( f @ A @ B )
& ! [A: a,B: b,C: b] :
( ( ( f @ A @ B )
& ( f @ A @ C ) )
=> ( cS @ B @ C ) )
& ! [A: a,B: a,C: b] :
( ( ( f @ A @ C )
& ( f @ B @ C ) )
=> ( cR @ A @ B ) ) )
=> ! [A: a] :
? [B: b] :
! [C: a] :
( ( f @ A @ B )
| ( ~ ( f @ C @ B )
& ( cR @ A @ z ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ C @ B ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A ) )
=> ( ( ! [A: a] :
? [B: b] : ( f @ A @ B )
& ! [A: a,B: b,C: b] :
( ( ( f @ A @ B )
& ( f @ A @ C ) )
=> ( cS @ B @ C ) )
& ! [A: a,B: a] :
( ? [C: b] :
( ( f @ A @ C )
& ( f @ B @ C ) )
=> ( cR @ A @ B ) ) )
=> ! [A: a] :
( ? [B: b] : ( f @ A @ B )
| ( ~ ! [B: b] :
? [C: a] : ( f @ C @ B )
& ( cR @ A @ z ) ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(10,plain,
! [A: a] : ( f @ A @ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(13,plain,
! [A: a] : ( f @ A @ ( sk1 @ A ) ),
inference(simp,[status(thm)],[10]) ).
thf(8,plain,
! [A: b] :
~ ( f @ sk2 @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(17,plain,
! [A: b] :
~ ( f @ sk2 @ A ),
inference(simp,[status(thm)],[8]) ).
thf(18,plain,
! [B: b,A: a] :
( ( f @ A @ ( sk1 @ A ) )
!= ( f @ sk2 @ B ) ),
inference(paramod_ordered,[status(thm)],[13,17]) ).
thf(19,plain,
$false,
inference(pattern_uni,[status(thm)],[18:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 @ sk2 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV097^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:31:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.96/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (105ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.16 % [INFO] nitpick registered as external prover.
% 1.61/1.17 % [INFO] Scanning for conjecture ...
% 1.73/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.84/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.84/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.25 % [INFO] Type checking passed.
% 1.84/1.25 % [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 ...
% 2.50/1.51 % [INFO] Killing All external provers ...
% 2.50/1.51 % Time passed: 985ms (effective reasoning time: 535ms)
% 2.50/1.51 % 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)>
% 2.50/1.51 % Axioms used in derivation (0):
% 2.50/1.51 % No. of inferences in proof: 10
% 2.61/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 985 ms resp. 535 ms w/o parsing
% 2.61/1.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.61/1.61 % [INFO] Killing All external provers ...
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