TSTP Solution File: ANA041-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ANA041-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 May 20 18:39:36 EDT 2024
% Result : Unsatisfiable 2.31s 1.46s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 29 ( 4 ~; 0 |; 0 &; 25 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_0_type,type,
c_0: $i ).
thf(v_h_type,type,
v_h: $i > $i > $i ).
thf(t_c_type,type,
t_c: $i ).
thf(v_xa_type,type,
v_xa: $i ).
thf(v_xb_type,type,
v_xb: $i ).
thf(2,negated_conjecture,
~ ( c_lessequals @ c_0 @ ( v_h @ v_xa @ v_xb ) @ t_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(4,plain,
~ ( c_lessequals @ c_0 @ ( v_h @ v_xa @ v_xb ) @ t_c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ( c_lessequals @ c_0 @ ( v_h @ v_xa @ v_xb ) @ t_c ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] : ( c_lessequals @ c_0 @ ( v_h @ A @ B ) @ t_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(3,plain,
! [B: $i,A: $i] : ( c_lessequals @ c_0 @ ( v_h @ A @ B ) @ t_c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,plain,
~ $true,
inference(rewrite,[status(thm)],[5,3]) ).
thf(7,plain,
$false,
inference(simp,[status(thm)],[6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA041-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 08:01:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.84/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/0.93 % [INFO] Parsing done (90ms).
% 1.20/0.94 % [INFO] Running in sequential loop mode.
% 1.47/1.14 % [INFO] nitpick registered as external prover.
% 1.47/1.15 % [INFO] Scanning for conjecture ...
% 1.71/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.81/1.22 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.22 % [INFO] Problem is propositional (TPTP CNF).
% 1.81/1.22 % [INFO] Type checking passed.
% 1.81/1.22 % [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 ...
% 2.28/1.46 % [INFO] Killing All external provers ...
% 2.31/1.46 % Time passed: 951ms (effective reasoning time: 519ms)
% 2.31/1.46 % Axioms used in derivation (0):
% 2.31/1.46 % No. of inferences in proof: 7
% 2.31/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 951 ms resp. 519 ms w/o parsing
% 2.31/1.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.31/1.48 % [INFO] Killing All external provers ...
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