TSTP Solution File: SEU120+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 16:17:34 EDT 2023
% Result : Theorem 8.38s 8.58s
% Output : CNFRefutation 8.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n007.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 : Wed Aug 23 19:12:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 8.38/8.57 %-------------------------------------------
% 8.38/8.57 % File :CSE---1.6
% 8.38/8.57 % Problem :theBenchmark
% 8.38/8.57 % Transform :cnf
% 8.38/8.57 % Format :tptp:raw
% 8.38/8.57 % Command :java -jar mcs_scs.jar %d %s
% 8.38/8.57
% 8.38/8.57 % Result :Theorem 7.950000s
% 8.38/8.57 % Output :CNFRefutation 7.950000s
% 8.38/8.57 %-------------------------------------------
% 8.38/8.58 %------------------------------------------------------------------------------
% 8.38/8.58 % File : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 8.38/8.58 % Domain : Set theory
% 8.38/8.58 % Problem : MPTP bushy problem t4_xboole_0
% 8.38/8.58 % Version : [Urb07] axioms : Especial.
% 8.38/8.58 % English :
% 8.38/8.58
% 8.38/8.58 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 8.38/8.58 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 8.38/8.58 % Source : [Urb07]
% 8.38/8.58 % Names : bushy-t4_xboole_0 [Urb07]
% 8.38/8.58
% 8.38/8.58 % Status : Theorem
% 8.38/8.58 % Rating : 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0
% 8.38/8.58 % Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% 8.38/8.58 % Number of atoms : 19 ( 4 equ)
% 8.38/8.58 % Maximal formula atoms : 4 ( 1 avg)
% 8.38/8.58 % Number of connectives : 14 ( 7 ~; 0 |; 3 &)
% 8.38/8.58 % ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% 8.38/8.58 % Maximal formula depth : 8 ( 3 avg)
% 8.38/8.58 % Maximal term depth : 2 ( 1 avg)
% 8.38/8.58 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 8.38/8.58 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 8.38/8.58 % Number of variables : 18 ( 15 !; 3 ?)
% 8.38/8.58 % SPC : FOF_THM_RFO_SEQ
% 8.38/8.58
% 8.38/8.58 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 8.38/8.58 % library, www.mizar.org
% 8.38/8.58 %------------------------------------------------------------------------------
% 8.38/8.58 fof(antisymmetry_r2_hidden,axiom,
% 8.38/8.58 ! [A,B] :
% 8.38/8.58 ( in(A,B)
% 8.38/8.58 => ~ in(B,A) ) ).
% 8.38/8.58
% 8.38/8.58 fof(commutativity_k3_xboole_0,axiom,
% 8.38/8.58 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 8.38/8.58
% 8.38/8.58 fof(d1_xboole_0,axiom,
% 8.38/8.58 ! [A] :
% 8.38/8.58 ( A = empty_set
% 8.38/8.58 <=> ! [B] : ~ in(B,A) ) ).
% 8.38/8.58
% 8.38/8.58 fof(d7_xboole_0,axiom,
% 8.38/8.58 ! [A,B] :
% 8.38/8.58 ( disjoint(A,B)
% 8.38/8.58 <=> set_intersection2(A,B) = empty_set ) ).
% 8.38/8.58
% 8.38/8.58 fof(dt_k1_xboole_0,axiom,
% 8.38/8.58 $true ).
% 8.38/8.58
% 8.38/8.58 fof(dt_k3_xboole_0,axiom,
% 8.38/8.58 $true ).
% 8.38/8.58
% 8.38/8.58 fof(fc1_xboole_0,axiom,
% 8.38/8.58 empty(empty_set) ).
% 8.38/8.58
% 8.38/8.58 fof(idempotence_k3_xboole_0,axiom,
% 8.38/8.58 ! [A,B] : set_intersection2(A,A) = A ).
% 8.38/8.58
% 8.38/8.58 fof(rc1_xboole_0,axiom,
% 8.38/8.58 ? [A] : empty(A) ).
% 8.38/8.58
% 8.38/8.58 fof(rc2_xboole_0,axiom,
% 8.38/8.58 ? [A] : ~ empty(A) ).
% 8.38/8.58
% 8.38/8.58 fof(symmetry_r1_xboole_0,axiom,
% 8.38/8.58 ! [A,B] :
% 8.38/8.58 ( disjoint(A,B)
% 8.38/8.58 => disjoint(B,A) ) ).
% 8.38/8.58
% 8.38/8.58 fof(t4_xboole_0,conjecture,
% 8.38/8.58 ! [A,B] :
% 8.38/8.58 ( ~ ( ~ disjoint(A,B)
% 8.38/8.58 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 8.38/8.58 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 8.38/8.58 & disjoint(A,B) ) ) ).
% 8.38/8.58
% 8.38/8.58 %------------------------------------------------------------------------------
% 8.38/8.58 %-------------------------------------------
% 8.38/8.58 % Proof found
% 8.38/8.58 % SZS status Theorem for theBenchmark
% 8.38/8.58 % SZS output start Proof
% 8.38/8.58 %ClaNum:25(EqnAxiom:11)
% 8.38/8.58 %VarNum:31(SingletonVarNum:16)
% 8.38/8.58 %MaxLitNum:2
% 8.38/8.58 %MaxfuncDepth:1
% 8.38/8.58 %SharedTerms:13
% 8.38/8.58 %goalClause: 23 24 25
% 8.38/8.58 [12]P1(a1)
% 8.38/8.58 [13]P1(a2)
% 8.38/8.58 [16]~P1(a5)
% 8.38/8.58 [14]E(f4(x141,x141),x141)
% 8.38/8.58 [15]E(f4(x151,x152),f4(x152,x151))
% 8.38/8.58 [23]~P2(a7,a8)+P3(a6,f4(a7,a8))
% 8.38/8.58 [17]P3(f3(x171),x171)+E(x171,a1)
% 8.38/8.58 [24]~P3(x241,f4(a7,a8))+P2(a7,a8)
% 8.38/8.58 [25]~P3(x251,f4(a7,a8))+P3(a6,f4(a7,a8))
% 8.38/8.58 [18]~P3(x182,x181)+~E(x181,a1)
% 8.38/8.58 [21]~P2(x212,x211)+P2(x211,x212)
% 8.38/8.58 [22]~P3(x222,x221)+~P3(x221,x222)
% 8.38/8.58 [19]~P2(x191,x192)+E(f4(x191,x192),a1)
% 8.38/8.58 [20]P2(x201,x202)+~E(f4(x201,x202),a1)
% 8.38/8.58 %EqnAxiom
% 8.38/8.58 [1]E(x11,x11)
% 8.38/8.58 [2]E(x22,x21)+~E(x21,x22)
% 8.38/8.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.38/8.58 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 8.38/8.58 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 8.38/8.58 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 8.38/8.58 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 8.38/8.58 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83)
% 8.38/8.58 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91)
% 8.38/8.58 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103)
% 8.38/8.58 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111)
% 8.38/8.58
% 8.38/8.58 %-------------------------------------------
% 8.38/8.59 cnf(26,plain,
% 8.38/8.59 (E(x261,f4(x261,x261))),
% 8.38/8.59 inference(scs_inference,[],[14,2])).
% 8.38/8.59 cnf(27,plain,
% 8.38/8.59 (~P3(x271,f4(a1,a1))),
% 8.38/8.59 inference(scs_inference,[],[14,2,18])).
% 8.38/8.59 cnf(28,plain,
% 8.38/8.59 (E(f4(x281,x281),x281)),
% 8.38/8.59 inference(rename_variables,[],[14])).
% 8.38/8.59 cnf(31,plain,
% 8.38/8.59 (E(f4(x311,x311),x311)),
% 8.38/8.59 inference(rename_variables,[],[14])).
% 8.38/8.59 cnf(33,plain,
% 8.38/8.59 (P2(a1,f4(a1,a1))),
% 8.38/8.59 inference(scs_inference,[],[14,28,2,18,20,11])).
% 8.38/8.59 cnf(34,plain,
% 8.38/8.59 (P2(f4(a1,a1),a1)),
% 8.38/8.59 inference(scs_inference,[],[14,28,2,18,20,11,10])).
% 8.38/8.59 cnf(35,plain,
% 8.38/8.59 (~P1(f4(a5,a5))),
% 8.38/8.59 inference(scs_inference,[],[16,14,28,31,2,18,20,11,10,7])).
% 8.38/8.59 cnf(36,plain,
% 8.38/8.59 (E(f4(x361,x361),x361)),
% 8.38/8.59 inference(rename_variables,[],[14])).
% 8.38/8.59 cnf(37,plain,
% 8.38/8.59 (E(f3(f4(x371,x371)),f3(x371))),
% 8.38/8.59 inference(scs_inference,[],[16,14,28,31,36,2,18,20,11,10,7,6])).
% 8.38/8.59 cnf(38,plain,
% 8.38/8.59 (E(f4(x381,f4(x382,x382)),f4(x381,x382))),
% 8.38/8.59 inference(scs_inference,[],[16,14,28,31,36,2,18,20,11,10,7,6,5])).
% 8.38/8.59 cnf(39,plain,
% 8.38/8.59 (E(f4(f4(x391,x391),x392),f4(x391,x392))),
% 8.38/8.59 inference(scs_inference,[],[16,14,28,31,36,2,18,20,11,10,7,6,5,4])).
% 8.38/8.59 cnf(40,plain,
% 8.38/8.59 (E(f4(a1,f4(a1,a1)),a1)),
% 8.38/8.59 inference(scs_inference,[],[16,14,28,31,36,2,18,20,11,10,7,6,5,4,19])).
% 8.38/8.59 cnf(42,plain,
% 8.38/8.59 (~P3(x421,f4(f4(a1,a1),f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[16,14,28,31,36,2,18,20,11,10,7,6,5,4,19,9])).
% 8.38/8.59 cnf(43,plain,
% 8.38/8.59 (E(f4(x431,x432),f4(f4(x432,x431),f4(x432,x431)))),
% 8.38/8.59 inference(scs_inference,[],[15,26,3])).
% 8.38/8.59 cnf(44,plain,
% 8.38/8.59 (E(x441,f4(x441,x441))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(45,plain,
% 8.38/8.59 (~E(a1,a5)),
% 8.38/8.59 inference(scs_inference,[],[12,15,16,26,3,7])).
% 8.38/8.59 cnf(46,plain,
% 8.38/8.59 (~E(a5,a1)),
% 8.38/8.59 inference(scs_inference,[],[12,15,16,26,3,7,2])).
% 8.38/8.59 cnf(47,plain,
% 8.38/8.59 (P2(f4(a1,a1),f4(a1,a1))),
% 8.38/8.59 inference(scs_inference,[],[12,15,16,26,44,34,3,7,2,11])).
% 8.38/8.59 cnf(48,plain,
% 8.38/8.59 (E(x481,f4(x481,x481))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(49,plain,
% 8.38/8.59 (P2(f4(f4(a1,a1),f4(a1,a1)),a1)),
% 8.38/8.59 inference(scs_inference,[],[12,15,16,26,44,48,34,3,7,2,11,10])).
% 8.38/8.59 cnf(51,plain,
% 8.38/8.59 (P2(a1,f4(f4(a1,a1),f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[12,15,16,26,44,48,34,3,7,2,11,10,21])).
% 8.38/8.59 cnf(53,plain,
% 8.38/8.59 (~P3(x531,f3(f4(x532,x532)))+P3(x531,f3(x532))),
% 8.38/8.59 inference(scs_inference,[],[12,15,16,26,44,48,37,34,3,7,2,11,10,21,9])).
% 8.38/8.59 cnf(54,plain,
% 8.38/8.59 (P3(f3(a5),a5)),
% 8.38/8.59 inference(scs_inference,[],[46,17])).
% 8.38/8.59 cnf(56,plain,
% 8.38/8.59 (P3(f4(f3(a5),f3(a5)),a5)),
% 8.38/8.59 inference(scs_inference,[],[26,46,17,8])).
% 8.38/8.59 cnf(57,plain,
% 8.38/8.59 (E(x571,f4(x571,x571))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(58,plain,
% 8.38/8.59 (~E(f4(a1,a1),a5)),
% 8.38/8.59 inference(scs_inference,[],[26,57,45,46,17,8,3])).
% 8.38/8.59 cnf(60,plain,
% 8.38/8.59 (E(f4(f4(x601,x602),f4(x601,x602)),f4(x602,x601))),
% 8.38/8.59 inference(scs_inference,[],[26,57,43,45,46,17,8,3,2])).
% 8.38/8.59 cnf(61,plain,
% 8.38/8.59 (~E(a5,f4(f4(a1,a1),f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[26,57,43,42,45,46,17,8,3,2,9])).
% 8.38/8.59 cnf(65,plain,
% 8.38/8.59 (~P3(a5,f3(f4(a5,a5)))),
% 8.38/8.59 inference(scs_inference,[],[26,57,43,42,45,46,17,8,3,2,9,22,53])).
% 8.38/8.59 cnf(70,plain,
% 8.38/8.59 (E(f4(x701,f4(x702,x702)),f4(x702,x701))),
% 8.38/8.59 inference(scs_inference,[],[15,14,38,65,56,22,8,3])).
% 8.38/8.59 cnf(73,plain,
% 8.38/8.59 (P3(f4(f3(a5),f3(a5)),f4(a5,a5))),
% 8.38/8.59 inference(scs_inference,[],[15,26,14,38,65,58,56,22,8,3,2,9])).
% 8.38/8.59 cnf(75,plain,
% 8.38/8.59 (~E(f4(a5,a5),a1)),
% 8.38/8.59 inference(scs_inference,[],[73,18])).
% 8.38/8.59 cnf(79,plain,
% 8.38/8.59 (~E(a5,f4(a1,f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[73,40,46,18,22,3])).
% 8.38/8.59 cnf(80,plain,
% 8.38/8.59 (P3(f3(a5),f4(a5,a5))),
% 8.38/8.59 inference(scs_inference,[],[14,73,40,46,18,22,3,8])).
% 8.38/8.59 cnf(81,plain,
% 8.38/8.59 (E(f4(x811,x811),x811)),
% 8.38/8.59 inference(rename_variables,[],[14])).
% 8.38/8.59 cnf(83,plain,
% 8.38/8.59 (E(f4(x831,x832),f4(f4(x831,x831),x832))),
% 8.38/8.59 inference(scs_inference,[],[14,81,39,73,35,40,46,18,22,3,8,7,2])).
% 8.38/8.59 cnf(84,plain,
% 8.38/8.59 (~E(f4(a5,a5),f4(a1,a1))),
% 8.38/8.59 inference(scs_inference,[],[14,81,27,39,73,35,40,46,18,22,3,8,7,2,9])).
% 8.38/8.59 cnf(86,plain,
% 8.38/8.59 (E(f4(f4(a1,a1),f4(a1,a1)),a1)),
% 8.38/8.59 inference(scs_inference,[],[14,81,27,39,47,73,35,40,46,18,22,3,8,7,2,9,19])).
% 8.38/8.59 cnf(88,plain,
% 8.38/8.59 (E(f3(x881),f3(f4(x881,x881)))),
% 8.38/8.59 inference(scs_inference,[],[14,81,27,26,39,47,73,35,40,46,18,22,3,8,7,2,9,19,6])).
% 8.38/8.59 cnf(89,plain,
% 8.38/8.59 (E(f4(x891,x892),f4(x891,f4(x892,x892)))),
% 8.38/8.59 inference(scs_inference,[],[14,81,27,26,39,47,73,35,40,46,18,22,3,8,7,2,9,19,6,5])).
% 8.38/8.59 cnf(90,plain,
% 8.38/8.59 (~P2(a5,a5)),
% 8.38/8.59 inference(scs_inference,[],[75,19])).
% 8.38/8.59 cnf(92,plain,
% 8.38/8.59 (~P3(x921,f4(a1,f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[75,40,19,18])).
% 8.38/8.59 cnf(94,plain,
% 8.38/8.59 (P2(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1))),
% 8.38/8.59 inference(scs_inference,[],[26,49,75,40,19,18,11])).
% 8.38/8.59 cnf(95,plain,
% 8.38/8.59 (E(x951,f4(x951,x951))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(98,plain,
% 8.38/8.59 (P2(f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[26,95,80,49,51,75,40,19,18,11,22,10])).
% 8.38/8.59 cnf(99,plain,
% 8.38/8.59 (E(x991,f4(x991,x991))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(101,plain,
% 8.38/8.59 (E(x1011,f4(x1011,x1011))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(102,plain,
% 8.38/8.59 (P1(f4(a2,a2))),
% 8.38/8.59 inference(scs_inference,[],[26,95,99,101,61,80,49,51,75,13,40,19,18,11,22,10,3,7])).
% 8.38/8.59 cnf(104,plain,
% 8.38/8.59 (~E(f4(a1,a1),f4(a5,a5))),
% 8.38/8.59 inference(scs_inference,[],[26,95,99,101,84,61,80,49,51,75,13,40,19,18,11,22,10,3,7,2])).
% 8.38/8.59 cnf(107,plain,
% 8.38/8.59 (E(f4(f4(a1,a1),a1),a1)),
% 8.38/8.59 inference(scs_inference,[],[34,19])).
% 8.38/8.59 cnf(110,plain,
% 8.38/8.59 (E(f4(x1101,x1101),x1101)),
% 8.38/8.59 inference(rename_variables,[],[14])).
% 8.38/8.59 cnf(111,plain,
% 8.38/8.59 (~P2(f4(a5,a5),a5)),
% 8.38/8.59 inference(scs_inference,[],[90,34,14,110,19,11,10])).
% 8.38/8.59 cnf(115,plain,
% 8.38/8.59 (E(f4(x1151,x1152),f4(x1152,x1151))),
% 8.38/8.59 inference(rename_variables,[],[15])).
% 8.38/8.59 cnf(121,plain,
% 8.38/8.59 (E(a1,f4(f4(a1,a1),f4(a1,a1)))),
% 8.38/8.59 inference(scs_inference,[],[15,115,16,88,83,92,54,86,102,90,34,14,110,19,11,10,3,7,8,9,2])).
% 8.38/8.59 cnf(127,plain,
% 8.38/8.59 (E(f4(x1271,f4(x1272,x1272)),f4(x1272,x1271))),
% 8.38/8.59 inference(rename_variables,[],[70])).
% 8.38/8.59 cnf(132,plain,
% 8.38/8.59 (~P3(x1321,a1)),
% 8.38/8.59 inference(scs_inference,[],[60,70,127,98,94,104,121,42,11,10,3,9])).
% 8.38/8.59 cnf(135,plain,
% 8.38/8.59 (E(x1351,f4(x1351,x1351))),
% 8.38/8.59 inference(rename_variables,[],[26])).
% 8.38/8.59 cnf(139,plain,
% 8.38/8.59 (P1(f4(f4(a2,a2),f4(a2,a2)))),
% 8.38/8.59 inference(scs_inference,[],[26,135,111,79,107,102,14,3,2,11,7])).
% 8.38/8.59 cnf(143,plain,
% 8.38/8.59 (E(f4(x1431,x1432),f4(x1431,f4(x1432,x1432)))),
% 8.38/8.59 inference(rename_variables,[],[89])).
% 8.38/8.59 cnf(145,plain,
% 8.38/8.59 (E(x1451,f4(x1451,f4(x1451,x1451)))),
% 8.38/8.59 inference(scs_inference,[],[16,33,26,89,143,139,11,7,3])).
% 8.38/8.59 cnf(200,plain,
% 8.38/8.59 (~E(f4(a7,a8),a1)+P3(a6,f4(a7,a8))),
% 8.38/8.59 inference(scs_inference,[],[23,20])).
% 8.38/8.59 cnf(276,plain,
% 8.38/8.59 (E(f4(a7,a8),a1)+P2(a7,a8)),
% 8.38/8.59 inference(scs_inference,[],[24,17])).
% 8.38/8.59 cnf(284,plain,
% 8.38/8.59 (E(a1,f4(a7,a8))+P2(a7,a8)),
% 8.38/8.59 inference(scs_inference,[],[276,2])).
% 8.38/8.59 cnf(290,plain,
% 8.38/8.59 (~E(a1,f4(a7,a8))+P3(a6,f4(a7,a8))),
% 8.38/8.59 inference(scs_inference,[],[200,2])).
% 8.38/8.59 cnf(299,plain,
% 8.38/8.59 (P2(a7,a8)+P3(a6,f4(a7,a8))),
% 8.38/8.59 inference(scs_inference,[],[290,284])).
% 8.38/8.59 cnf(605,plain,
% 8.38/8.59 (P3(a6,f4(a7,a8))),
% 8.38/8.59 inference(scs_inference,[],[23,299])).
% 8.38/8.59 cnf(606,plain,
% 8.38/8.59 (P2(a7,a8)),
% 8.38/8.59 inference(scs_inference,[],[605,24])).
% 8.38/8.59 cnf(618,plain,
% 8.38/8.59 (~P2(a7,a8)),
% 8.38/8.59 inference(scs_inference,[],[605,132,43,145,22,8,9,2,17,3,19])).
% 8.38/8.59 cnf(620,plain,
% 8.38/8.59 ($false),
% 8.38/8.59 inference(scs_inference,[],[606,618]),
% 8.38/8.59 ['proof']).
% 8.38/8.59 % SZS output end Proof
% 8.38/8.59 % Total time :7.950000s
%------------------------------------------------------------------------------