TSTP Solution File: SET864-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 : Fri May 19 11:54:43 EDT 2023
% Result : Unsatisfiable 2.76s 1.60s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 22 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 25 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 136 ( 14 ~; 12 |; 0 &; 110 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_c_type,type,
v_c: $i ).
thf(c_Zorn_Omaxchain_type,type,
c_Zorn_Omaxchain: $i > $i > $i ).
thf(v_S_type,type,
v_S: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(c_Union_type,type,
c_Union: $i > $i > $i ).
thf(v_x_type,type,
v_x: $i > $i ).
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(3,negated_conjecture,
! [A: $i] :
( ( c_in @ ( v_x @ A ) @ v_S @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(10,plain,
! [A: $i] :
( ( c_in @ ( v_x @ A ) @ v_S @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
c_in @ ( c_Union @ v_c @ t_a ) @ v_S @ ( tc_set @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(9,plain,
c_in @ ( c_Union @ v_c @ t_a ) @ v_S @ ( tc_set @ t_a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ( A
!= ( v_x @ A ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(7,plain,
! [A: $i] :
( ( A
!= ( v_x @ A ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ ( tc_set @ C ) )
| ~ ( c_in @ D @ ( c_Zorn_Omaxchain @ B @ C ) @ ( tc_set @ ( tc_set @ C ) ) )
| ~ ( c_lessequals @ ( c_Union @ D @ C ) @ A @ ( tc_set @ C ) )
| ( ( c_Union @ D @ C )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
thf(16,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ ( tc_set @ C ) )
| ~ ( c_in @ D @ ( c_Zorn_Omaxchain @ B @ C ) @ ( tc_set @ ( tc_set @ C ) ) )
| ~ ( c_lessequals @ ( c_Union @ D @ C ) @ A @ ( tc_set @ C ) )
| ( ( c_Union @ D @ C )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( c_lessequals @ A @ ( v_x @ A ) @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(11,plain,
! [A: $i] :
( ( c_lessequals @ A @ ( v_x @ A ) @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
c_in @ v_c @ ( c_Zorn_Omaxchain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(8,plain,
c_in @ v_c @ ( c_Zorn_Omaxchain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[10,9,7,16,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n014.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 : Thu May 18 19:13:13 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/0.96 % [INFO] Parsing done (107ms).
% 1.29/0.97 % [INFO] Running in sequential loop mode.
% 1.63/1.15 % [INFO] eprover registered as external prover.
% 1.63/1.16 % [INFO] cvc4 registered as external prover.
% 1.63/1.16 % [INFO] Scanning for conjecture ...
% 1.71/1.21 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.84/1.24 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.84/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.88/1.24 % [INFO] Type checking passed.
% 1.88/1.25 % [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 ...
% 2.76/1.60 % External prover 'e' found a proof!
% 2.76/1.60 % [INFO] Killing All external provers ...
% 2.76/1.60 % Time passed: 1072ms (effective reasoning time: 628ms)
% 2.76/1.60 % 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)>
% 2.76/1.60 % Axioms used in derivation (1): cls_Zorn_Omaxchain__Zorn_0
% 2.76/1.60 % No. of inferences in proof: 13
% 2.76/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1072 ms resp. 628 ms w/o parsing
% 2.76/1.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.76/1.63 % [INFO] Killing All external provers ...
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