TSTP Solution File: SET947+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 : Thu Aug 31 14:31:47 EDT 2023
% Result : Theorem 121.79s 121.89s
% Output : CNFRefutation 121.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 14:44:39 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 121.79/121.88 %-------------------------------------------
% 121.79/121.88 % File :CSE---1.6
% 121.79/121.88 % Problem :theBenchmark
% 121.79/121.88 % Transform :cnf
% 121.79/121.88 % Format :tptp:raw
% 121.79/121.88 % Command :java -jar mcs_scs.jar %d %s
% 121.79/121.88
% 121.79/121.88 % Result :Theorem 121.230000s
% 121.79/121.88 % Output :CNFRefutation 121.230000s
% 121.79/121.88 %-------------------------------------------
% 121.79/121.88 %------------------------------------------------------------------------------
% 121.79/121.88 % File : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 121.79/121.88 % Domain : Set theory
% 121.79/121.88 % Problem : subset(A,powerset(union(A)))
% 121.79/121.88 % Version : [Urb06] axioms : Especial.
% 121.79/121.88 % English :
% 121.79/121.88
% 121.79/121.88 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 121.79/121.88 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 121.79/121.88 % Source : [Urb06]
% 121.79/121.88 % Names : zfmisc_1__t100_zfmisc_1 [Urb06]
% 121.79/121.88
% 121.79/121.88 % Status : Theorem
% 121.79/121.88 % Rating : 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.14 v3.2.0
% 121.79/121.88 % Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% 121.79/121.88 % Number of atoms : 14 ( 1 equ)
% 121.79/121.88 % Maximal formula atoms : 3 ( 1 avg)
% 121.79/121.88 % Number of connectives : 8 ( 2 ~; 0 |; 0 &)
% 121.79/121.88 % ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% 121.79/121.88 % Maximal formula depth : 6 ( 4 avg)
% 121.79/121.88 % Maximal term depth : 3 ( 1 avg)
% 121.79/121.88 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 121.79/121.88 % Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% 121.79/121.88 % Number of variables : 15 ( 13 !; 2 ?)
% 121.79/121.88 % SPC : FOF_THM_RFO_SEQ
% 121.79/121.88
% 121.79/121.88 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 121.79/121.88 % library, www.mizar.org
% 121.79/121.88 %------------------------------------------------------------------------------
% 121.79/121.88 fof(antisymmetry_r2_hidden,axiom,
% 121.79/121.88 ! [A,B] :
% 121.79/121.88 ( in(A,B)
% 121.79/121.88 => ~ in(B,A) ) ).
% 121.79/121.88
% 121.79/121.88 fof(d1_zfmisc_1,axiom,
% 121.79/121.88 ! [A,B] :
% 121.79/121.88 ( B = powerset(A)
% 121.79/121.88 <=> ! [C] :
% 121.79/121.88 ( in(C,B)
% 121.79/121.88 <=> subset(C,A) ) ) ).
% 121.79/121.88
% 121.79/121.88 fof(d3_tarski,axiom,
% 121.79/121.89 ! [A,B] :
% 121.79/121.89 ( subset(A,B)
% 121.79/121.89 <=> ! [C] :
% 121.79/121.89 ( in(C,A)
% 121.79/121.89 => in(C,B) ) ) ).
% 121.79/121.89
% 121.79/121.89 fof(l50_zfmisc_1,axiom,
% 121.79/121.89 ! [A,B] :
% 121.79/121.89 ( in(A,B)
% 121.79/121.89 => subset(A,union(B)) ) ).
% 121.79/121.89
% 121.79/121.89 fof(rc1_xboole_0,axiom,
% 121.79/121.89 ? [A] : empty(A) ).
% 121.79/121.89
% 121.79/121.89 fof(rc2_xboole_0,axiom,
% 121.79/121.89 ? [A] : ~ empty(A) ).
% 121.79/121.89
% 121.79/121.89 fof(reflexivity_r1_tarski,axiom,
% 121.79/121.89 ! [A,B] : subset(A,A) ).
% 121.79/121.89
% 121.79/121.89 fof(t100_zfmisc_1,conjecture,
% 121.79/121.89 ! [A] : subset(A,powerset(union(A))) ).
% 121.79/121.89
% 121.79/121.89 %------------------------------------------------------------------------------
% 121.79/121.89 %-------------------------------------------
% 121.79/121.89 % Proof found
% 121.79/121.89 % SZS status Theorem for theBenchmark
% 121.79/121.89 % SZS output start Proof
% 121.79/121.89 %ClaNum:27(EqnAxiom:14)
% 121.79/121.89 %VarNum:54(SingletonVarNum:22)
% 121.79/121.89 %MaxLitNum:3
% 121.79/121.89 %MaxfuncDepth:2
% 121.79/121.89 %SharedTerms:8
% 121.79/121.89 %goalClause: 18
% 121.79/121.89 %singleGoalClaCount:1
% 121.79/121.89 [15]P1(a1)
% 121.79/121.89 [17]~P1(a4)
% 121.79/121.89 [18]~P2(a5,f7(f6(a5)))
% 121.79/121.89 [16]P2(x161,x161)
% 121.79/121.89 [20]~P3(x202,x201)+~P3(x201,x202)
% 121.79/121.89 [19]~P3(x191,x192)+P2(x191,f6(x192))
% 121.79/121.89 [23]P2(x231,x232)+P3(f2(x231,x232),x231)
% 121.79/121.89 [25]P2(x251,x252)+~P3(f2(x251,x252),x252)
% 121.79/121.89 [26]P3(f3(x262,x261),x261)+P2(f3(x262,x261),x262)+E(x261,f7(x262))
% 121.79/121.89 [27]~P3(f3(x272,x271),x271)+~P2(f3(x272,x271),x272)+E(x271,f7(x272))
% 121.79/121.89 [24]~P2(x243,x242)+P3(x241,x242)+~P3(x241,x243)
% 121.79/121.89 [21]~P2(x211,x213)+P3(x211,x212)+~E(x212,f7(x213))
% 121.79/121.89 [22]~P3(x221,x223)+P2(x221,x222)+~E(x223,f7(x222))
% 121.79/121.89 %EqnAxiom
% 121.79/121.89 [1]E(x11,x11)
% 121.79/121.89 [2]E(x22,x21)+~E(x21,x22)
% 121.79/121.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 121.79/121.89 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 121.90/121.89 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 121.90/121.89 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 121.90/121.89 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 121.90/121.89 [8]~E(x81,x82)+E(f2(x81,x83),f2(x82,x83))
% 121.90/121.89 [9]~E(x91,x92)+E(f2(x93,x91),f2(x93,x92))
% 121.90/121.89 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 121.90/121.89 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 121.90/121.89 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 121.90/121.89 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 121.90/121.89 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 121.90/121.89
% 121.90/121.89 %-------------------------------------------
% 121.90/121.89 cnf(38,plain,
% 121.90/121.89 (P3(x381,x382)+~E(x382,f7(x381))),
% 121.90/121.89 inference(scs_inference,[],[16,21])).
% 121.90/121.89 cnf(40,plain,
% 121.90/121.89 (~E(x401,x402)+P3(x402,f7(x401))),
% 121.90/121.89 inference(scs_inference,[],[16,21,5])).
% 121.90/121.89 cnf(42,plain,
% 121.90/121.89 (P3(x421,f7(x421))),
% 121.90/121.89 inference(equality_inference,[],[38])).
% 121.90/121.89 cnf(45,plain,
% 121.90/121.89 (P2(x451,f6(f7(x451)))),
% 121.90/121.89 inference(scs_inference,[],[42,19])).
% 121.90/121.89 cnf(47,plain,
% 121.90/121.89 (~P3(f7(x471),x471)),
% 121.90/121.89 inference(scs_inference,[],[42,19,20])).
% 121.90/121.89 cnf(54,plain,
% 121.90/121.89 (~P2(f7(f7(x541)),x541)),
% 121.90/121.89 inference(scs_inference,[],[47,42,24])).
% 121.90/121.89 cnf(65,plain,
% 121.90/121.89 (P3(f2(f7(f7(x651)),x651),f7(f7(x651)))),
% 121.90/121.89 inference(scs_inference,[],[42,47,23,24])).
% 121.90/121.89 cnf(171,plain,
% 121.90/121.89 (~E(f7(f7(f6(a5))),f7(a5))),
% 121.90/121.89 inference(scs_inference,[],[18,42,2,22])).
% 121.90/121.89 cnf(377,plain,
% 121.90/121.89 (~P3(a5,f2(a5,f7(f6(a5))))),
% 121.90/121.89 inference(scs_inference,[],[18,20,23])).
% 121.90/121.89 cnf(382,plain,
% 121.90/121.89 (~P3(f7(f6(f7(x3821))),x3821)),
% 121.90/121.89 inference(scs_inference,[],[42,45,20,24])).
% 121.90/121.89 cnf(385,plain,
% 121.90/121.89 (~P3(f7(f7(x3851)),f2(f7(f7(x3851)),x3851))),
% 121.90/121.89 inference(scs_inference,[],[54,20,23])).
% 121.90/121.89 cnf(429,plain,
% 121.90/121.89 (P2(f2(a5,f7(f6(a5))),f6(a5))),
% 121.90/121.89 inference(scs_inference,[],[18,19,23])).
% 121.90/121.89 cnf(518,plain,
% 121.90/121.89 (~E(x5181,x5182)+E(f6(x5182),f6(x5181))),
% 121.90/121.90 inference(scs_inference,[],[4,2])).
% 121.90/121.90 cnf(702,plain,
% 121.90/121.90 (P3(f2(a5,f7(f6(a5))),f6(f7(a5)))),
% 121.90/121.90 inference(scs_inference,[],[18,45,23,24])).
% 121.90/121.90 cnf(703,plain,
% 121.90/121.90 (~E(f7(f2(a5,f7(f6(a5)))),f7(f6(a5)))),
% 121.90/121.90 inference(scs_inference,[],[18,42,25,14])).
% 121.90/121.90 cnf(879,plain,
% 121.90/121.90 (P3(f6(x8791),f7(f6(x8792)))+~E(x8791,x8792)),
% 121.90/121.90 inference(scs_inference,[],[518,40])).
% 121.90/121.90 cnf(1099,plain,
% 121.90/121.90 (~P3(f6(f7(a5)),f2(a5,f7(f6(a5))))),
% 121.90/121.90 inference(scs_inference,[],[171,702,2,20])).
% 121.90/121.90 cnf(1104,plain,
% 121.90/121.90 (P2(x11041,f6(f7(x11041)))),
% 121.90/121.90 inference(rename_variables,[],[45])).
% 121.90/121.90 cnf(1114,plain,
% 121.90/121.90 (~P3(f2(a5,f7(f6(a5))),f7(f6(a5)))),
% 121.90/121.90 inference(scs_inference,[],[18,65,54,42,45,1104,171,429,703,702,385,377,2,20,19,21,24,14,11,5,25])).
% 121.90/121.90 cnf(1300,plain,
% 121.90/121.90 (~E(x13001,x13002)+P3(f6(x13001),x13003)+~E(f7(f6(x13002)),x13003)),
% 121.90/121.90 inference(scs_inference,[],[879,14])).
% 121.90/121.90 cnf(1301,plain,
% 121.90/121.90 (~E(x13011,f7(f6(x13012)))+~E(x13013,x13012)+P3(f6(x13013),x13011)),
% 121.90/121.90 inference(scs_inference,[],[1300,2])).
% 121.90/121.90 cnf(2014,plain,
% 121.90/121.90 (~P2(f7(f7(f6(f7(x20141)))),x20141)),
% 121.90/121.90 inference(scs_inference,[],[1099,382,42,1301,24])).
% 121.90/121.90 cnf(2025,plain,
% 121.90/121.90 (~P3(f2(f7(f7(f6(f7(x20251)))),x20251),x20251)),
% 121.90/121.90 inference(scs_inference,[],[2014,25])).
% 121.90/121.90 cnf(2036,plain,
% 121.90/121.90 ($false),
% 121.90/121.90 inference(scs_inference,[],[2025,1114,429,42,13,21]),
% 121.90/121.90 ['proof']).
% 121.90/121.90 % SZS output end Proof
% 121.90/121.90 % Total time :121.230000s
%------------------------------------------------------------------------------