TSTP Solution File: SWV257-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV257-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 05:50:58 EDT 2024
% Result : Unsatisfiable 2.41s 1.58s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 18 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 97 ( 10 ~; 4 |; 0 &; 83 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 0 ^ 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
thf(v_H_type,type,
v_H: $i ).
thf(c_Message_Oanalz_type,type,
c_Message_Oanalz: $i > $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(cnf,[status(esa)],[7]) ).
thf(1,negated_conjecture,
~ ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(4,plain,
~ ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,plain,
~ ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) )
!= ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,5]) ).
thf(13,plain,
~ ( c_lessequals @ v_H @ ( c_Message_Oanalz @ v_H ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( v_H )),bind(B,$thf( c_Message_Oanalz @ v_H ))]]) ).
thf(2,axiom,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oanalz @ A ) @ ( tc_set @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__increasing_0) ).
thf(6,plain,
! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oanalz @ A ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
~ $true,
inference(rewrite,[status(thm)],[13,6]) ).
thf(21,plain,
$false,
inference(simp,[status(thm)],[20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SWV257-2 : TPTP v8.2.0. Released v3.2.0.
% 0.15/0.18 % Command : run_Leo-III %s %d
% 0.16/0.39 % Computer : n013.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.40 % DateTime : Sun May 19 07:26:39 EDT 2024
% 0.16/0.40 % CPUTime :
% 0.91/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.13/0.96 % [INFO] Parsing done (101ms).
% 1.13/0.97 % [INFO] Running in sequential loop mode.
% 1.50/1.20 % [INFO] nitpick registered as external prover.
% 1.50/1.20 % [INFO] Scanning for conjecture ...
% 1.70/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.74/1.27 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.74/1.28 % [INFO] Problem is propositional (TPTP CNF).
% 1.74/1.28 % [INFO] Type checking passed.
% 1.74/1.28 % [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 ...
% 2.41/1.58 % [INFO] Killing All external provers ...
% 2.41/1.58 % Time passed: 1031ms (effective reasoning time: 605ms)
% 2.41/1.58 % Axioms used in derivation (2): cls_Message_Oparts__mono_0, cls_Message_Oanalz__increasing_0
% 2.41/1.58 % No. of inferences in proof: 12
% 2.41/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1031 ms resp. 605 ms w/o parsing
% 2.65/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.65/1.67 % [INFO] Killing All external provers ...
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