TSTP Solution File: SET818-2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 7 08:08:06 EDT 2024
% Result : Unsatisfiable 2.38s 1.56s
% Output : Refutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 5 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 16 ( 2 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_x_type,type,
v_x: $i > $i ).
thf(tc_IntDef_Oint_type,type,
tc_IntDef_Oint: $i ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(1,negated_conjecture,
! [A: $i] : ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(3,plain,
! [A: $i] : ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
~ ( c_in @ A @ c_emptyset @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
thf(4,plain,
! [B: $i,A: $i] :
~ ( c_in @ A @ c_emptyset @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
$false,
inference(e,[status(thm)],[3,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 13:17:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.07/0.99 % [INFO] Parsing done (105ms).
% 1.07/1.00 % [INFO] Running in sequential loop mode.
% 1.61/1.22 % [INFO] eprover registered as external prover.
% 1.61/1.23 % [INFO] cvc4 registered as external prover.
% 1.71/1.23 % [INFO] Scanning for conjecture ...
% 1.72/1.28 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.72/1.30 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.72/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.72/1.30 % [INFO] Type checking passed.
% 1.89/1.30 % [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 ...
% 2.38/1.56 % External prover 'e' found a proof!
% 2.38/1.56 % [INFO] Killing All external provers ...
% 2.38/1.56 % Time passed: 1029ms (effective reasoning time: 557ms)
% 2.38/1.56 % 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)>
% 2.38/1.56 % Axioms used in derivation (1): cls_Set_OemptyE_0
% 2.38/1.56 % No. of inferences in proof: 5
% 2.38/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1029 ms resp. 557 ms w/o parsing
% 2.38/1.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.38/1.58 % [INFO] Killing All external provers ...
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