TSTP Solution File: NUM632+1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : NUM632+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 : Tue May 21 01:35:29 EDT 2024
% Result : Theorem 25.62s 5.10s
% Output : Refutation 25.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 12 unt; 6 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 39 ( 3 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xc_type,type,
xc: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(xd_type,type,
xd: $i ).
thf(xn_type,type,
xn: $i ).
thf(80,axiom,
( ( sdtlpdtrp0 @ xc @ xQ )
= ( sdtlpdtrp0 @ xd @ xn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5568) ).
thf(463,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
= ( sdtlpdtrp0 @ xd @ xn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(464,plain,
( ( sdtlpdtrp0 @ xd @ xn )
= ( sdtlpdtrp0 @ xc @ xQ ) ),
inference(lifteq,[status(thm)],[463]) ).
thf(100,axiom,
( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5321) ).
thf(582,plain,
( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(583,plain,
( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) ),
inference(lifteq,[status(thm)],[582]) ).
thf(5309,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
= ( szDzizrdt0 @ xd ) ),
inference(rewrite,[status(thm)],[464,583]) ).
thf(1,conjecture,
( ( sdtlpdtrp0 @ xc @ xQ )
= ( szDzizrdt0 @ xd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
( ( sdtlpdtrp0 @ xc @ xQ )
!= ( szDzizrdt0 @ xd ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(117,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
!= ( szDzizrdt0 @ xd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(118,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
!= ( szDzizrdt0 @ xd ) ),
inference(lifteq,[status(thm)],[117]) ).
thf(5310,plain,
$false,
inference(simplifyReflect,[status(thm)],[5309,118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM632+1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11 % Command : run_Leo-III %s %d
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon May 20 07:04:53 EDT 2024
% 0.11/0.29 % CPUTime :
% 0.63/0.70 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.91/0.85 % [INFO] Parsing done (152ms).
% 0.91/0.86 % [INFO] Running in sequential loop mode.
% 1.46/1.06 % [INFO] nitpick registered as external prover.
% 1.46/1.07 % [INFO] Scanning for conjecture ...
% 1.64/1.11 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.11 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.64/1.16 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.88/1.18 % [INFO] Found a conjecture (or negated_conjecture) and 114 axioms. Running axiom selection ...
% 2.02/1.25 % [INFO] Axiom selection finished. Selected 114 axioms (removed 0 axioms).
% 2.02/1.25 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.27 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.27 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.28 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.28 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.29 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.29 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.29 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.30 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.31 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.31/1.32 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.31/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 2.31/1.33 % [INFO] Type checking passed.
% 2.31/1.33 % [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 ...
% 25.62/5.08 % [INFO] Killing All external provers ...
% 25.62/5.10 % Time passed: 4692ms (effective reasoning time: 4232ms)
% 25.62/5.10 % 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)>
% 25.62/5.10 % Axioms used in derivation (2): m__5568, m__5321
% 25.62/5.10 % No. of inferences in proof: 12
% 25.62/5.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4692 ms resp. 4232 ms w/o parsing
% 25.62/5.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.62/5.14 % [INFO] Killing All external provers ...
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