TSTP Solution File: SEV096^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV096^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n026.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 3.32s 1.88s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 1 equ; 0 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 205 ( 14 ~; 7 |; 28 &; 136 @)
% ( 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; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 ^ 60 !; 11 ?; 71 :)
% 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(sk2_type,type,
sk2: b ).
thf(sk3_type,type,
sk3: 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: b] :
? [B: a] :
! [C: a] :
( ( f @ B @ A )
| ( ~ ( f @ C @ A )
& ( cR @ B @ z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM552E_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: b] :
? [B: a] :
! [C: a] :
( ( f @ B @ A )
| ( ~ ( f @ C @ A )
& ( cR @ B @ 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: b] :
? [B: a] :
! [C: a] :
( ( f @ B @ A )
| ( ~ ( f @ C @ A )
& ( cR @ B @ 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: b] :
( ? [B: a] : ( f @ B @ A )
| ( ~ ? [B: a] : ( f @ B @ A )
& ? [B: a] : ( cR @ B @ z ) ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(6,plain,
! [A: a] : ( cR @ A @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(14,plain,
! [A: a] : ( cR @ A @ A ),
inference(simp,[status(thm)],[6]) ).
thf(5,plain,
! [A: a] :
( ( f @ sk3 @ sk2 )
| ~ ( cR @ A @ z ) ),
inference(cnf,[status(esa)],[4]) ).
thf(12,plain,
! [A: a] :
( ( f @ sk3 @ sk2 )
| ~ ( cR @ A @ z ) ),
inference(simp,[status(thm)],[5]) ).
thf(7,plain,
! [A: a] :
~ ( f @ A @ sk2 ),
inference(cnf,[status(esa)],[4]) ).
thf(15,plain,
! [A: a] :
~ ( f @ A @ sk2 ),
inference(simp,[status(thm)],[7]) ).
thf(72,plain,
! [A: a] :
( $false
| ~ ( cR @ A @ z ) ),
inference(rewrite,[status(thm)],[12,15]) ).
thf(73,plain,
! [A: a] :
~ ( cR @ A @ z ),
inference(simp,[status(thm)],[72]) ).
thf(74,plain,
! [B: a,A: a] :
( ( cR @ A @ A )
!= ( cR @ B @ z ) ),
inference(paramod_ordered,[status(thm)],[14,73]) ).
thf(75,plain,
$false,
inference(pattern_uni,[status(thm)],[74:[bind(A,$thf( z )),bind(B,$thf( z ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SEV096^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.12 % Command : run_Leo-III %s %d SAT
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jun 21 19:17:25 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.97/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.01 % [INFO] Parsing done (115ms).
% 1.30/1.01 % [INFO] Running in sequential loop mode.
% 1.64/1.23 % [INFO] nitpick registered as external prover.
% 1.70/1.24 % [INFO] Scanning for conjecture ...
% 1.70/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.98/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.98/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.98/1.33 % [INFO] Type checking passed.
% 1.98/1.34 % [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 ...
% 3.32/1.87 % [INFO] Killing All external provers ...
% 3.32/1.88 % Time passed: 1328ms (effective reasoning time: 856ms)
% 3.32/1.88 % 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)>
% 3.32/1.88 % Axioms used in derivation (0):
% 3.32/1.88 % No. of inferences in proof: 14
% 3.32/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1328 ms resp. 856 ms w/o parsing
% 3.45/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.45/1.91 % [INFO] Killing All external provers ...
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