TSTP Solution File: SET927+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET927+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 : n002.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 14:31:44 EDT 2023
% Result : Theorem 84.74s 84.86s
% Output : CNFRefutation 84.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 15:43:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 84.74/84.85 %-------------------------------------------
% 84.74/84.85 % File :CSE---1.6
% 84.74/84.85 % Problem :theBenchmark
% 84.74/84.85 % Transform :cnf
% 84.74/84.85 % Format :tptp:raw
% 84.74/84.85 % Command :java -jar mcs_scs.jar %d %s
% 84.74/84.85
% 84.74/84.85 % Result :Theorem 84.250000s
% 84.74/84.85 % Output :CNFRefutation 84.250000s
% 84.74/84.85 %-------------------------------------------
% 84.74/84.86 %------------------------------------------------------------------------------
% 84.74/84.86 % File : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 84.74/84.86 % Domain : Set theory
% 84.74/84.86 % Problem : diff(uno_pair(A,B),C) = sgtn(A) <=> (~in(A,C) & (in(B,C) | A = B))
% 84.74/84.86 % Version : [Urb06] axioms : Especial.
% 84.74/84.86 % English :
% 84.74/84.86
% 84.74/84.86 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 84.74/84.86 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 84.74/84.86 % Source : [Urb06]
% 84.74/84.86 % Names : zfmisc_1__t70_zfmisc_1 [Urb06]
% 84.74/84.86
% 84.74/84.86 % Status : Theorem
% 84.74/84.86 % Rating : 0.08 v7.5.0, 0.09 v7.4.0, 0.07 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.15 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0, 0.21 v3.2.0
% 84.74/84.86 % Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% 84.74/84.86 % Number of atoms : 13 ( 5 equ)
% 84.74/84.86 % Maximal formula atoms : 4 ( 2 avg)
% 84.74/84.86 % Number of connectives : 11 ( 4 ~; 2 |; 2 &)
% 84.74/84.86 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 84.74/84.86 % Maximal formula depth : 7 ( 5 avg)
% 84.74/84.86 % Maximal term depth : 3 ( 1 avg)
% 84.74/84.86 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 84.74/84.86 % Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% 84.74/84.86 % Number of variables : 12 ( 10 !; 2 ?)
% 84.74/84.86 % SPC : FOF_THM_RFO_SEQ
% 84.74/84.86
% 84.74/84.86 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 84.74/84.86 % library, www.mizar.org
% 84.74/84.86 %------------------------------------------------------------------------------
% 84.74/84.86 fof(commutativity_k2_tarski,axiom,
% 84.74/84.86 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 84.74/84.86
% 84.74/84.86 fof(antisymmetry_r2_hidden,axiom,
% 84.74/84.86 ! [A,B] :
% 84.74/84.86 ( in(A,B)
% 84.74/84.86 => ~ in(B,A) ) ).
% 84.74/84.86
% 84.74/84.86 fof(rc1_xboole_0,axiom,
% 84.74/84.86 ? [A] : empty(A) ).
% 84.74/84.86
% 84.74/84.86 fof(rc2_xboole_0,axiom,
% 84.74/84.86 ? [A] : ~ empty(A) ).
% 84.74/84.86
% 84.74/84.86 fof(t70_zfmisc_1,conjecture,
% 84.74/84.86 ! [A,B,C] :
% 84.74/84.86 ( set_difference(unordered_pair(A,B),C) = singleton(A)
% 84.74/84.86 <=> ( ~ in(A,C)
% 84.74/84.86 & ( in(B,C)
% 84.74/84.86 | A = B ) ) ) ).
% 84.74/84.86
% 84.74/84.86 fof(l39_zfmisc_1,axiom,
% 84.74/84.86 ! [A,B,C] :
% 84.74/84.86 ( set_difference(unordered_pair(A,B),C) = singleton(A)
% 84.74/84.86 <=> ( ~ in(A,C)
% 84.74/84.86 & ( in(B,C)
% 84.74/84.86 | A = B ) ) ) ).
% 84.74/84.86
% 84.74/84.86 %------------------------------------------------------------------------------
% 84.74/84.86 %-------------------------------------------
% 84.74/84.86 % Proof found
% 84.74/84.86 % SZS status Theorem for theBenchmark
% 84.74/84.86 % SZS output start Proof
% 84.74/84.87 %ClaNum:23(EqnAxiom:11)
% 84.74/84.87 %VarNum:38(SingletonVarNum:16)
% 84.74/84.87 %MaxLitNum:3
% 84.74/84.87 %MaxfuncDepth:2
% 84.74/84.87 %SharedTerms:18
% 84.74/84.87 %goalClause: 16 17 19 21
% 84.74/84.87 [12]P1(a1)
% 84.74/84.87 [14]~P1(a3)
% 84.74/84.87 [13]E(f2(x131,x132),f2(x132,x131))
% 84.74/84.87 [17]~P2(a4,a6)+E(f7(f2(a4,a5),a6),f8(a4))
% 84.74/84.87 [15]~P2(x152,x151)+~P2(x151,x152)
% 84.74/84.87 [23]~P2(x231,x233)+~E(f7(f2(x231,x232),x233),f8(x231))
% 84.74/84.87 [16]E(a4,a5)+P2(a5,a6)+E(f7(f2(a4,a5),a6),f8(a4))
% 84.74/84.87 [19]P2(a4,a6)+~E(a4,a5)+~E(f7(f2(a4,a5),a6),f8(a4))
% 84.74/84.87 [21]P2(a4,a6)+~P2(a5,a6)+~E(f7(f2(a4,a5),a6),f8(a4))
% 84.74/84.87 [18]P2(x181,x183)+~E(x181,x182)+E(f7(f2(x181,x182),x183),f8(x181))
% 84.74/84.87 [20]P2(x201,x203)+~P2(x202,x203)+E(f7(f2(x201,x202),x203),f8(x201))
% 84.74/84.87 [22]E(x221,x222)+P2(x221,x223)+~E(f7(f2(x222,x221),x223),f8(x222))
% 84.74/84.87 %EqnAxiom
% 84.74/84.87 [1]E(x11,x11)
% 84.74/84.87 [2]E(x22,x21)+~E(x21,x22)
% 84.74/84.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 84.74/84.87 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 84.74/84.87 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 84.74/84.87 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 84.74/84.87 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 84.74/84.87 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 84.74/84.87 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 84.74/84.87 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103)
% 84.74/84.87 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111)
% 84.74/84.87
% 84.74/84.87 %-------------------------------------------
% 84.74/84.88 cnf(25,plain,
% 84.74/84.88 (E(f7(f2(x251,x252),x253),f7(f2(x252,x251),x253))),
% 84.74/84.88 inference(scs_inference,[],[13,8,7])).
% 84.74/84.88 cnf(29,plain,
% 84.74/84.88 (~E(a1,a3)),
% 84.74/84.88 inference(scs_inference,[],[12,14,13,8,7,6,5,4,9])).
% 84.74/84.88 cnf(33,plain,
% 84.74/84.88 (~E(a3,a1)),
% 84.74/84.88 inference(scs_inference,[],[29,2])).
% 84.74/84.88 cnf(50,plain,
% 84.74/84.88 (P2(x501,x502)+~E(a3,x501)+~E(f7(f2(a1,a3),x502),f8(a1))),
% 84.74/84.88 inference(scs_inference,[],[33,22,10])).
% 84.74/84.88 cnf(197,plain,
% 84.74/84.88 (E(a5,a4)+P2(a5,a6)+E(f7(f2(a4,a5),a6),f8(a4))),
% 84.74/84.88 inference(scs_inference,[],[16,2])).
% 84.74/84.88 cnf(204,plain,
% 84.74/84.88 (E(f2(a5,x2041),f2(a4,x2041))+P2(a5,a6)+E(f7(f2(a4,a5),a6),f8(a4))),
% 84.74/84.88 inference(scs_inference,[],[197,4])).
% 84.74/84.88 cnf(280,plain,
% 84.74/84.88 (~E(f8(x2801),f7(f2(x2801,x2802),x2803))+~P2(x2801,x2803)),
% 84.74/84.88 inference(scs_inference,[],[2,23])).
% 84.74/84.88 cnf(348,plain,
% 84.74/84.88 (E(f2(a4,x3481),f2(a5,x3481))+P2(a5,a6)+E(f7(f2(a4,a5),a6),f8(a4))),
% 84.74/84.88 inference(scs_inference,[],[2,204])).
% 84.74/84.88 cnf(1390,plain,
% 84.74/84.88 (~P2(a4,a6)),
% 84.74/84.88 inference(scs_inference,[],[17,23])).
% 84.74/84.88 cnf(1391,plain,
% 84.74/84.88 (~E(f7(f2(a4,a5),a6),f8(a4))+~E(a4,a5)),
% 84.74/84.88 inference(scs_inference,[],[1390,19])).
% 84.74/84.88 cnf(1392,plain,
% 84.74/84.88 (~E(f7(f2(a4,a5),a6),f8(a4))+~P2(a5,a6)),
% 84.74/84.88 inference(scs_inference,[],[1390,21])).
% 84.74/84.88 cnf(1395,plain,
% 84.74/84.88 (~P2(x13951,a6)+E(f7(f2(a4,x13951),a6),f8(a4))),
% 84.74/84.88 inference(scs_inference,[],[1390,50,20])).
% 84.74/84.88 cnf(1397,plain,
% 84.74/84.88 (~E(a4,x13971)+E(f7(f2(a4,x13971),a6),f8(a4))),
% 84.74/84.88 inference(scs_inference,[],[1390,50,20,18])).
% 84.74/84.88 cnf(1403,plain,
% 84.74/84.88 (E(f7(f2(a4,a4),a6),f8(a4))),
% 84.74/84.88 inference(equality_inference,[],[1397])).
% 84.74/84.88 cnf(1404,plain,
% 84.74/84.88 (~E(f8(a4),f7(f2(a4,a5),a6))+~E(a4,a5)),
% 84.74/84.88 inference(scs_inference,[],[1391,2])).
% 84.74/84.88 cnf(1405,plain,
% 84.74/84.88 (E(f8(a4),f7(f2(a4,a4),a6))),
% 84.74/84.88 inference(scs_inference,[],[1403,2])).
% 84.74/84.88 cnf(1409,plain,
% 84.74/84.88 (~E(f8(a4),f7(f2(a4,a5),a6))+~P2(a5,a6)),
% 84.74/84.88 inference(scs_inference,[],[1392,2])).
% 84.74/84.88 cnf(1419,plain,
% 84.74/84.88 (~E(f8(a4),f7(f2(a5,a4),a6))+~E(a4,a5)),
% 84.74/84.88 inference(scs_inference,[],[25,1404,3])).
% 84.74/84.88 cnf(1423,plain,
% 84.74/84.88 (~E(f7(f2(a4,a4),a6),f7(f2(a4,a5),a6))+~P2(a5,a6)),
% 84.74/84.88 inference(scs_inference,[],[1405,1409,3])).
% 84.74/84.88 cnf(1427,plain,
% 84.74/84.88 (~E(f7(f2(a5,a4),a6),f8(a4))+~E(a4,a5)),
% 84.74/84.88 inference(scs_inference,[],[1419,2])).
% 84.74/84.88 cnf(1430,plain,
% 84.74/84.88 (~E(a5,a4)+~E(f7(f2(a5,a4),a6),f8(a4))),
% 84.74/84.88 inference(scs_inference,[],[1427,2])).
% 84.74/84.88 cnf(1432,plain,
% 84.74/84.88 (~E(f8(a4),f7(f2(a5,a4),a6))+~E(a5,a4)),
% 84.74/84.88 inference(scs_inference,[],[1430,2])).
% 84.74/84.88 cnf(1434,plain,
% 84.74/84.88 (~E(f7(f2(a4,a4),a6),f7(f2(a5,a4),a6))+~E(a5,a4)),
% 84.74/84.88 inference(scs_inference,[],[1405,1432,3])).
% 84.74/84.88 cnf(1435,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a4,a5))+~P2(a5,a6)),
% 84.74/84.88 inference(scs_inference,[],[1423,7])).
% 84.74/84.88 cnf(1438,plain,
% 84.74/84.88 (~E(a4,a5)+~E(f7(f2(a4,a4),a6),f7(f2(a5,a4),a6))),
% 84.74/84.88 inference(scs_inference,[],[1434,2])).
% 84.74/84.88 cnf(1439,plain,
% 84.74/84.88 (~E(f7(f2(a4,a4),a6),f7(f2(a5,a4),a6))+~E(f7(f2(a5,a4),a6),f8(a5))),
% 84.74/84.88 inference(scs_inference,[],[1390,1438,22])).
% 84.74/84.88 cnf(1443,plain,
% 84.74/84.88 (~E(f8(a5),f7(f2(a5,a4),a6))+~E(f7(f2(a4,a4),a6),f7(f2(a5,a4),a6))),
% 84.74/84.88 inference(scs_inference,[],[1439,2])).
% 84.74/84.88 cnf(1445,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a5,a4))+~E(f8(a5),f7(f2(a5,a4),a6))),
% 84.74/84.88 inference(scs_inference,[],[1443,7])).
% 84.74/84.88 cnf(1446,plain,
% 84.74/84.88 (~E(a4,a5)+~E(f8(a5),f7(f2(a5,a4),a6))),
% 84.74/84.88 inference(scs_inference,[],[1445,4])).
% 84.74/84.88 cnf(1447,plain,
% 84.74/84.88 (~E(a5,a4)+~E(f8(a5),f7(f2(a5,a4),a6))),
% 84.74/84.88 inference(scs_inference,[],[1446,2])).
% 84.74/84.88 cnf(1843,plain,
% 84.74/84.88 (~E(a5,x18431)+~E(f2(a4,a4),f2(a4,a5))+E(f7(f2(a5,x18431),a6),f8(a5))),
% 84.74/84.88 inference(scs_inference,[],[1435,18])).
% 84.74/84.88 cnf(1844,plain,
% 84.74/84.88 (~E(f2(a4,a5),f2(a4,a4))+E(f7(f2(a5,x18441),a6),f8(a5))+~E(a5,x18441)),
% 84.74/84.88 inference(scs_inference,[],[1843,2])).
% 84.74/84.88 cnf(1845,plain,
% 84.74/84.88 (~E(a5,a4)+E(f7(f2(a5,x18451),a6),f8(a5))+~E(a5,x18451)),
% 84.74/84.88 inference(scs_inference,[],[1844,5])).
% 84.74/84.88 cnf(1846,plain,
% 84.74/84.88 (~E(a4,a5)+E(f7(f2(a5,a4),a6),f8(a5))),
% 84.74/84.88 inference(scs_inference,[],[1845,2])).
% 84.74/84.88 cnf(1856,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a4,a5))+E(f7(f2(a4,a5),a6),f8(a4))+E(a5,a4)),
% 84.74/84.88 inference(scs_inference,[],[1435,197])).
% 84.74/84.88 cnf(1857,plain,
% 84.74/84.88 (E(a5,a4)+P2(a5,a6)+~E(f2(a4,a4),f2(a4,a5))),
% 84.74/84.88 inference(scs_inference,[],[1856,22])).
% 84.74/84.88 cnf(1858,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a4,a5))+E(a5,a4)),
% 84.74/84.88 inference(scs_inference,[],[1857,1435])).
% 84.74/84.88 cnf(1955,plain,
% 84.74/84.88 (E(a4,a5)+~E(f2(a4,a4),f2(a4,a5))),
% 84.74/84.88 inference(scs_inference,[],[1858,2])).
% 84.74/84.88 cnf(1958,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a4,a5))+E(f2(a5,x19581),f2(a4,x19581))),
% 84.74/84.88 inference(scs_inference,[],[1858,4])).
% 84.74/84.88 cnf(1959,plain,
% 84.74/84.88 (~E(f2(a4,a5),f2(a4,a4))+E(f2(a5,x19591),f2(a4,x19591))),
% 84.74/84.88 inference(scs_inference,[],[1958,2])).
% 84.74/84.88 cnf(1960,plain,
% 84.74/84.88 (~E(f2(a5,a4),f2(a4,a4))+E(f2(a5,x19601),f2(a4,x19601))),
% 84.74/84.88 inference(scs_inference,[],[13,1959,3])).
% 84.74/84.88 cnf(1961,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a5,a4))+E(f2(a5,x19611),f2(a4,x19611))),
% 84.74/84.88 inference(scs_inference,[],[1960,2])).
% 84.74/84.88 cnf(2031,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a4,a5))+E(f2(x20311,a5),f2(x20311,a4))),
% 84.74/84.88 inference(scs_inference,[],[1858,5])).
% 84.74/84.88 cnf(2032,plain,
% 84.74/84.88 (~E(f2(a4,a5),f2(a4,a4))+E(f2(x20321,a5),f2(x20321,a4))),
% 84.74/84.88 inference(scs_inference,[],[2031,2])).
% 84.74/84.88 cnf(2033,plain,
% 84.74/84.88 (~E(f2(a5,a4),f2(a4,a4))+E(f2(x20331,a5),f2(x20331,a4))),
% 84.74/84.88 inference(scs_inference,[],[13,2032,3])).
% 84.74/84.88 cnf(2034,plain,
% 84.74/84.88 (~E(f2(a4,a4),f2(a5,a4))+E(f2(x20341,a5),f2(x20341,a4))),
% 84.74/84.88 inference(scs_inference,[],[2033,1961])).
% 84.74/84.88 cnf(2035,plain,
% 84.74/84.88 (~E(a4,a5)+E(f2(x20351,a5),f2(x20351,a4))),
% 84.74/84.88 inference(scs_inference,[],[2034,4])).
% 84.74/84.88 cnf(2036,plain,
% 84.74/84.88 (E(f2(x20361,a5),f2(x20361,a4))+~E(f7(f2(a5,a4),a6),f8(a5))),
% 84.74/84.88 inference(scs_inference,[],[1390,2035,22])).
% 84.74/84.88 cnf(2037,plain,
% 84.74/84.88 (~E(f8(a5),f7(f2(a5,a4),a6))+E(f2(x20371,a5),f2(x20371,a4))),
% 84.74/84.89 inference(scs_inference,[],[2036,2])).
% 84.74/84.89 cnf(2038,plain,
% 84.74/84.89 (~E(x20381,f7(f2(a5,a4),a6))+~E(f8(a5),x20381)+E(f2(x20382,a5),f2(x20382,a4))),
% 84.74/84.89 inference(scs_inference,[],[2037,3])).
% 84.74/84.89 cnf(2039,plain,
% 84.74/84.89 (~E(f8(a5),f7(f2(a4,a5),a6))+E(f2(x20391,a5),f2(x20391,a4))),
% 84.74/84.89 inference(scs_inference,[],[13,2038,7])).
% 84.74/84.89 cnf(2040,plain,
% 84.74/84.89 (~E(f7(f2(a4,a5),a6),f8(a5))+E(f2(x20401,a5),f2(x20401,a4))),
% 84.74/84.89 inference(scs_inference,[],[2039,2])).
% 84.74/84.89 cnf(2079,plain,
% 84.74/84.89 (~E(f8(a5),f7(f2(a5,a4),a6))+~E(f2(a4,a4),f2(a4,a5))),
% 84.74/84.89 inference(scs_inference,[],[1858,1447])).
% 84.74/84.89 cnf(2080,plain,
% 84.74/84.89 (~E(f7(f2(a5,a4),a6),f8(a5))+~E(f2(a4,a4),f2(a4,a5))),
% 84.74/84.89 inference(scs_inference,[],[2079,2])).
% 84.74/84.89 cnf(2081,plain,
% 84.74/84.89 (~E(a4,a5)+~E(f2(a4,a4),f2(a4,a5))),
% 84.74/84.89 inference(scs_inference,[],[2080,1846])).
% 84.74/84.89 cnf(2082,plain,
% 84.74/84.89 (~E(f2(a4,a4),f2(a4,a5))),
% 84.74/84.89 inference(scs_inference,[],[2081,1955])).
% 84.74/84.89 cnf(2085,plain,
% 84.74/84.89 (~E(f2(a4,a4),f2(a5,a4))),
% 84.74/84.89 inference(scs_inference,[],[2082,2,5,2034])).
% 84.74/84.89 cnf(2099,plain,
% 84.74/84.89 (~E(a5,a4)),
% 84.74/84.89 inference(scs_inference,[],[2082,2,5,2034,2036,2040,2033,2037,2039,18,1845])).
% 84.74/84.89 cnf(2128,plain,
% 84.74/84.89 (~E(x21281,a4)+~E(a5,x21281)),
% 84.74/84.89 inference(scs_inference,[],[2099,3])).
% 84.74/84.89 cnf(2235,plain,
% 84.74/84.89 (P2(a5,x22351)+~E(x22352,a4)+~E(f7(f2(x22352,a5),x22351),f8(x22352))),
% 84.74/84.89 inference(scs_inference,[],[2128,22])).
% 84.74/84.89 cnf(2236,plain,
% 84.74/84.89 (P2(a5,a6)),
% 84.74/84.89 inference(scs_inference,[],[2085,2235,348])).
% 84.74/84.89 cnf(2252,plain,
% 84.74/84.89 (~E(f7(f2(a4,a5),a6),f8(a4))),
% 84.74/84.89 inference(scs_inference,[],[2236,1392])).
% 84.74/84.89 cnf(2274,plain,
% 84.74/84.89 (E(f7(f2(a4,a5),a6),f8(a4))),
% 84.74/84.89 inference(scs_inference,[],[2236,23,15,280,1395])).
% 84.74/84.89 cnf(2283,plain,
% 84.74/84.89 ($false),
% 84.74/84.89 inference(scs_inference,[],[2252,2274]),
% 84.74/84.89 ['proof']).
% 84.74/84.89 % SZS output end Proof
% 84.74/84.89 % Total time :84.250000s
%------------------------------------------------------------------------------