TSTP Solution File: SET818-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET818-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 03:07:02 EDT 2024
% Result : Unsatisfiable 11.24s 3.71s
% Output : Refutation 11.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 9 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 28 ( 4 ~; 0 |; 0 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% 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(1169,plain,
! [A: $i] : ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(1165,axiom,
! [B: $i,A: $i] :
~ ( c_in @ A @ c_emptyset @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
thf(3433,plain,
! [B: $i,A: $i] :
~ ( c_in @ A @ c_emptyset @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1165]) ).
thf(3434,plain,
! [B: $i,A: $i] :
~ ( c_in @ A @ c_emptyset @ B ),
inference(polarity_switch,[status(thm)],[3433]) ).
thf(3445,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( v_x @ A ) @ A @ tc_IntDef_Oint )
!= ( c_in @ B @ c_emptyset @ C ) ),
inference(paramod_ordered,[status(thm)],[1169,3434]) ).
thf(3446,plain,
$false,
inference(pattern_uni,[status(thm)],[3445:[bind(A,$thf( c_emptyset )),bind(B,$thf( v_x @ c_emptyset )),bind(C,$thf( tc_IntDef_Oint ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET818-1 : TPTP v8.2.0. Released v3.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 12:13:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.78/1.12 % [INFO] Parsing done (294ms).
% 1.78/1.14 % [INFO] Running in sequential loop mode.
% 2.57/1.38 % [INFO] nitpick registered as external prover.
% 2.57/1.39 % [INFO] Scanning for conjecture ...
% 2.91/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 1357 axioms. Running axiom selection ...
% 3.65/1.73 % [INFO] Axiom selection finished. Selected 1166 axioms (removed 191 axioms).
% 4.19/1.89 % [INFO] Problem is propositional (TPTP CNF).
% 4.19/1.91 % [INFO] Type checking passed.
% 4.19/1.91 % [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 ...
% 11.24/3.70 % [INFO] Killing All external provers ...
% 11.24/3.71 % Time passed: 3211ms (effective reasoning time: 2565ms)
% 11.24/3.71 % Axioms used in derivation (1): cls_Set_OemptyE_0
% 11.24/3.71 % No. of inferences in proof: 7
% 11.24/3.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3211 ms resp. 2565 ms w/o parsing
% 11.24/3.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.32/3.72 % [INFO] Killing All external provers ...
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