TSTP Solution File: SEV096^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---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 THM
% 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 15:58:12 EDT 2024
% Result : Theorem 2.93s 1.76s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 128 ( 5 ~; 3 |; 21 &; 84 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 ^ 39 !; 6 ?; 45 :)
% 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(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/sandbox2/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(18,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV096^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_Leo-III %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 19:17:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.04/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.03 % [INFO] Parsing done (134ms).
% 1.29/1.04 % [INFO] Running in sequential loop mode.
% 1.71/1.27 % [INFO] eprover registered as external prover.
% 1.71/1.28 % [INFO] Scanning for conjecture ...
% 1.96/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.96/1.38 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.96/1.39 % [INFO] Problem is higher-order (TPTP THF).
% 2.13/1.39 % [INFO] Type checking passed.
% 2.13/1.39 % [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 ...
% 2.93/1.75 % External prover 'e' found a proof!
% 2.93/1.75 % [INFO] Killing All external provers ...
% 2.93/1.76 % Time passed: 1214ms (effective reasoning time: 716ms)
% 2.93/1.76 % 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)>
% 2.93/1.76 % Axioms used in derivation (0):
% 2.93/1.76 % No. of inferences in proof: 4
% 2.93/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1214 ms resp. 716 ms w/o parsing
% 3.21/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.21/1.79 % [INFO] Killing All external provers ...
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