TSTP Solution File: SET839-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET839-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 03:07:07 EDT 2024
% Result : Unsatisfiable 25.00s 5.17s
% Output : Refutation 25.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 122 ( 23 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 733 ( 40 ~; 69 |; 0 &; 624 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 112 ( 0 ^ 112 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_S_type,type,
v_S: $i ).
thf(c_insert_type,type,
c_insert: $i > $i > $i > $i ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_Main_OsubsetI__1_type,type,
c_Main_OsubsetI__1: $i > $i > $i > $i ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( c_lessequals @ v_S @ ( c_insert @ A @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
! [A: $i] :
~ ( c_lessequals @ v_S @ ( c_insert @ A @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,plain,
! [A: $i] :
~ ( c_lessequals @ v_S @ ( c_insert @ A @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
| ~ ( c_in @ B @ v_S @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
| ~ ( c_in @ B @ v_S @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
| ~ ( c_in @ B @ v_S @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(26,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ( c_lessequals @ D @ E @ ( tc_set @ t_a ) )
| ~ ( c_in @ D @ v_S @ ( tc_set @ t_a ) )
| ( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
!= ( c_in @ E @ v_S @ ( tc_set @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[13,10]) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ A @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( v_S )),bind(B,$thf( G )),bind(C,$thf( tc_set @ t_a )),bind(D,$thf( D )),bind(E,$thf( c_Main_OsubsetI__1 @ v_S @ G @ ( tc_set @ t_a ) ))]]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ A @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
| ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
inference(simp,[status(thm)],[27]) ).
thf(508,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ( c_lessequals @ v_S @ E @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ D @ ( c_Main_OsubsetI__1 @ v_S @ E @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
| ( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
!= ( c_in @ D @ v_S @ ( tc_set @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[13,40]) ).
thf(509,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
inference(pattern_uni,[status(thm)],[508:[bind(A,$thf( v_S )),bind(B,$thf( G )),bind(C,$thf( tc_set @ t_a )),bind(D,$thf( c_Main_OsubsetI__1 @ v_S @ G @ ( tc_set @ t_a ) )),bind(E,$thf( E ))]]) ).
thf(619,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
inference(simp,[status(thm)],[509]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) )
| ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) )
| ( B = A ) ),
inference(cnf,[status(esa)],[16]) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ( B = A )
| ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(1594,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( D = C )
| ~ ( c_lessequals @ D @ C @ ( tc_set @ E ) )
| ( ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
!= ( c_lessequals @ C @ D @ ( tc_set @ E ) ) ) ),
inference(paramod_ordered,[status(thm)],[619,18]) ).
thf(1595,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
= ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) )
| ~ ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
inference(pattern_uni,[status(thm)],[1594:[bind(A,$thf( K )),bind(B,$thf( G )),bind(C,$thf( c_Main_OsubsetI__1 @ v_S @ G @ ( tc_set @ t_a ) )),bind(D,$thf( c_Main_OsubsetI__1 @ v_S @ K @ ( tc_set @ t_a ) )),bind(E,$thf( t_a ))]]) ).
thf(1678,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
= ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) )
| ~ ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
inference(simp,[status(thm)],[1595]) ).
thf(2084,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ C @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ D @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_Main_OsubsetI__1 @ v_S @ D @ ( tc_set @ t_a ) )
= ( c_Main_OsubsetI__1 @ v_S @ C @ ( tc_set @ t_a ) ) )
| ( ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
!= ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ D @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ C @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[619,1678]) ).
thf(2085,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
= ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) ) ),
inference(pattern_uni,[status(thm)],[2084:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(2245,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
= ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) ) ),
inference(simp,[status(thm)],[2085]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] : ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] : ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(cnf,[status(esa)],[14]) ).
thf(19,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ D @ E @ ( tc_set @ F ) )
| ( ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C )
!= ( c_in @ ( c_Main_OsubsetI__1 @ D @ E @ F ) @ E @ F ) ) ),
inference(paramod_ordered,[status(thm)],[11,15]) ).
thf(22,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ D @ E @ ( tc_set @ F ) )
| ( A
!= ( c_Main_OsubsetI__1 @ D @ E @ F ) )
| ( ( c_insert @ A @ B @ C )
!= E )
| ( C != F ) ),
inference(simp,[status(thm)],[19]) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ B @ C @ ( tc_set @ D ) )
| ( ( c_insert @ ( c_Main_OsubsetI__1 @ B @ C @ D ) @ A @ D )
!= C ) ),
inference(simp,[status(thm)],[22]) ).
thf(2601,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ D @ E @ ( tc_set @ F ) )
| ( ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ C @ F )
!= E )
| ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
!= ( c_Main_OsubsetI__1 @ D @ E @ F ) ) ),
inference(paramod_ordered,[status(thm)],[2245,24]) ).
thf(2602,plain,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ C @ ( tc_set @ t_a ) )
!= B ) ),
inference(pattern_uni,[status(thm)],[2601:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( v_S )),bind(E,$thf( B )),bind(F,$thf( tc_set @ t_a ))]]) ).
thf(2680,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ v_S @ ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) ) ),
inference(simp,[status(thm)],[2602]) ).
thf(2940,plain,
! [C: $i,B: $i,A: $i] :
( ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
| ( ( c_lessequals @ v_S @ ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) )
!= ( c_lessequals @ v_S @ ( c_insert @ C @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2680,9]) ).
thf(2941,plain,
! [A: $i] : ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) ),
inference(pattern_uni,[status(thm)],[2940:[bind(A,$thf( E )),bind(B,$thf( c_emptyset )),bind(C,$thf( c_Main_OsubsetI__1 @ v_S @ E @ ( tc_set @ t_a ) ))]]) ).
thf(3033,plain,
! [A: $i] : ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) ),
inference(simp,[status(thm)],[2941]) ).
thf(3116,plain,
~ $true,
inference(rewrite,[status(thm)],[9,3033]) ).
thf(3117,plain,
$false,
inference(simp,[status(thm)],[3116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SET839-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.11 % Command : run_Leo-III %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 12:24:24 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.82/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.02/0.90 % [INFO] Parsing done (104ms).
% 1.02/0.91 % [INFO] Running in sequential loop mode.
% 1.54/1.19 % [INFO] nitpick registered as external prover.
% 1.54/1.19 % [INFO] Scanning for conjecture ...
% 1.68/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.68/1.31 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.82/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 1.82/1.32 % [INFO] Type checking passed.
% 1.82/1.32 % [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 ...
% 25.00/5.12 % [INFO] Killing All external provers ...
% 25.00/5.13 % Time passed: 4684ms (effective reasoning time: 4208ms)
% 25.00/5.17 % Axioms used in derivation (4): cls_Set_OsubsetI_0, cls_Set_Osubset__antisym_0, cls_Set_OinsertCI_1, cls_Set_OsubsetI_1
% 25.00/5.17 % No. of inferences in proof: 41
% 25.00/5.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4684 ms resp. 4208 ms w/o parsing
% 25.18/5.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.18/5.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------