TSTP Solution File: SET928+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET928+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 : n015.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 78.52s 78.54s
% Output : CNFRefutation 78.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n015.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 13:46:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 78.46/78.53 %-------------------------------------------
% 78.46/78.53 % File :CSE---1.6
% 78.46/78.53 % Problem :theBenchmark
% 78.46/78.53 % Transform :cnf
% 78.46/78.53 % Format :tptp:raw
% 78.46/78.53 % Command :java -jar mcs_scs.jar %d %s
% 78.46/78.53
% 78.46/78.53 % Result :Theorem 77.920000s
% 78.46/78.53 % Output :CNFRefutation 77.920000s
% 78.46/78.53 %-------------------------------------------
% 78.52/78.54 %------------------------------------------------------------------------------
% 78.52/78.54 % File : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% 78.52/78.54 % Domain : Set theory
% 78.52/78.54 % Problem : diff(uno_pair(A,B),C) = uno_pair(A,B) <=> (~in(A,C) & ~in(B,C))
% 78.52/78.54 % Version : [Urb06] axioms : Especial.
% 78.52/78.54 % English :
% 78.52/78.54
% 78.52/78.54 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 78.52/78.54 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 78.52/78.54 % Source : [Urb06]
% 78.52/78.54 % Names : zfmisc_1__t72_zfmisc_1 [Urb06]
% 78.52/78.54
% 78.52/78.54 % Status : Theorem
% 78.52/78.54 % Rating : 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.22 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.1, 0.17 v3.7.0, 0.05 v3.4.0, 0.16 v3.3.0, 0.14 v3.2.0
% 78.52/78.54 % Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% 78.52/78.54 % Number of atoms : 17 ( 3 equ)
% 78.52/78.54 % Maximal formula atoms : 3 ( 1 avg)
% 78.52/78.54 % Number of connectives : 17 ( 9 ~; 0 |; 4 &)
% 78.52/78.54 % ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% 78.52/78.54 % Maximal formula depth : 8 ( 5 avg)
% 78.52/78.54 % Maximal term depth : 3 ( 1 avg)
% 78.52/78.54 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 78.52/78.54 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 78.52/78.54 % Number of variables : 19 ( 17 !; 2 ?)
% 78.52/78.54 % SPC : FOF_THM_RFO_SEQ
% 78.52/78.54
% 78.52/78.54 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 78.52/78.54 % library, www.mizar.org
% 78.52/78.54 %------------------------------------------------------------------------------
% 78.52/78.54 fof(antisymmetry_r2_hidden,axiom,
% 78.52/78.54 ! [A,B] :
% 78.52/78.54 ( in(A,B)
% 78.52/78.54 => ~ in(B,A) ) ).
% 78.52/78.54
% 78.52/78.54 fof(commutativity_k2_tarski,axiom,
% 78.52/78.54 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 78.52/78.54
% 78.52/78.54 fof(rc1_xboole_0,axiom,
% 78.52/78.54 ? [A] : empty(A) ).
% 78.52/78.54
% 78.52/78.54 fof(rc2_xboole_0,axiom,
% 78.52/78.54 ? [A] : ~ empty(A) ).
% 78.52/78.54
% 78.52/78.54 fof(symmetry_r1_xboole_0,axiom,
% 78.52/78.54 ! [A,B] :
% 78.52/78.54 ( disjoint(A,B)
% 78.52/78.54 => disjoint(B,A) ) ).
% 78.52/78.54
% 78.52/78.54 fof(t55_zfmisc_1,axiom,
% 78.52/78.54 ! [A,B,C] :
% 78.52/78.54 ~ ( disjoint(unordered_pair(A,B),C)
% 78.52/78.54 & in(A,C) ) ).
% 78.52/78.54
% 78.52/78.54 fof(t57_zfmisc_1,axiom,
% 78.52/78.54 ! [A,B,C] :
% 78.52/78.54 ~ ( ~ in(A,B)
% 78.52/78.54 & ~ in(C,B)
% 78.52/78.54 & ~ disjoint(unordered_pair(A,C),B) ) ).
% 78.52/78.54
% 78.52/78.54 fof(t72_zfmisc_1,conjecture,
% 78.52/78.54 ! [A,B,C] :
% 78.52/78.54 ( set_difference(unordered_pair(A,B),C) = unordered_pair(A,B)
% 78.52/78.54 <=> ( ~ in(A,C)
% 78.52/78.54 & ~ in(B,C) ) ) ).
% 78.52/78.54
% 78.52/78.54 fof(t83_xboole_1,axiom,
% 78.52/78.54 ! [A,B] :
% 78.52/78.54 ( disjoint(A,B)
% 78.52/78.54 <=> set_difference(A,B) = A ) ).
% 78.52/78.54
% 78.52/78.54 %------------------------------------------------------------------------------
% 78.52/78.54 %-------------------------------------------
% 78.52/78.54 % Proof found
% 78.52/78.54 % SZS status Theorem for theBenchmark
% 78.52/78.54 % SZS output start Proof
% 78.52/78.55 %ClaNum:24(EqnAxiom:12)
% 78.52/78.55 %VarNum:34(SingletonVarNum:16)
% 78.52/78.55 %MaxLitNum:3
% 78.52/78.55 %MaxfuncDepth:2
% 78.52/78.55 %SharedTerms:15
% 78.52/78.55 %goalClause: 20 21 24
% 78.52/78.55 [13]P1(a1)
% 78.52/78.55 [15]~P1(a3)
% 78.52/78.55 [14]E(f2(x141,x142),f2(x142,x141))
% 78.52/78.55 [20]~P3(a5,a7)+E(f4(f2(a5,a6),a7),f2(a5,a6))
% 78.52/78.55 [21]~P3(a6,a7)+E(f4(f2(a5,a6),a7),f2(a5,a6))
% 78.52/78.55 [16]~P2(x162,x161)+P2(x161,x162)
% 78.52/78.55 [19]~P3(x192,x191)+~P3(x191,x192)
% 78.52/78.55 [17]~P2(x171,x172)+E(f4(x171,x172),x171)
% 78.52/78.55 [18]P2(x181,x182)+~E(f4(x181,x182),x181)
% 78.52/78.55 [23]~P3(x231,x232)+~P2(f2(x231,x233),x232)
% 78.52/78.55 [24]P3(a5,a7)+P3(a6,a7)+~E(f4(f2(a5,a6),a7),f2(a5,a6))
% 78.52/78.55 [22]P3(x221,x222)+P3(x223,x222)+P2(f2(x223,x221),x222)
% 78.52/78.55 %EqnAxiom
% 78.52/78.55 [1]E(x11,x11)
% 78.52/78.55 [2]E(x22,x21)+~E(x21,x22)
% 78.52/78.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 78.52/78.55 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 78.52/78.55 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 78.52/78.55 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 78.52/78.55 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 78.52/78.55 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 78.52/78.55 [9]P3(x92,x93)+~E(x91,x92)+~P3(x91,x93)
% 78.52/78.55 [10]P3(x103,x102)+~E(x101,x102)+~P3(x103,x101)
% 78.52/78.55 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 78.52/78.55 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 78.52/78.55
% 78.52/78.55 %-------------------------------------------
% 78.54/78.55 cnf(25,plain,
% 78.54/78.55 (E(f4(x251,f2(x252,x253)),f4(x251,f2(x253,x252)))),
% 78.54/78.55 inference(scs_inference,[],[14,7])).
% 78.54/78.55 cnf(26,plain,
% 78.54/78.55 (E(f4(f2(x261,x262),x263),f4(f2(x262,x261),x263))),
% 78.54/78.55 inference(scs_inference,[],[14,7,6])).
% 78.54/78.55 cnf(31,plain,
% 78.54/78.55 (~P2(x311,f2(x312,x313))+P2(x311,f2(x313,x312))),
% 78.54/78.55 inference(scs_inference,[],[13,15,14,7,6,5,4,8,3,12])).
% 78.54/78.55 cnf(38,plain,
% 78.54/78.56 (~P2(x381,x382)+E(f4(x382,x381),x382)),
% 78.54/78.56 inference(scs_inference,[],[16,17])).
% 78.54/78.56 cnf(48,plain,
% 78.54/78.56 (~P3(x481,x482)+~E(f4(f2(x481,x483),x482),f2(x481,x483))),
% 78.54/78.56 inference(scs_inference,[],[18,23])).
% 78.54/78.56 cnf(59,plain,
% 78.54/78.56 (~E(f2(x591,x592),f4(f2(x591,x592),x593))+~P3(x591,x593)),
% 78.54/78.56 inference(scs_inference,[],[48,2])).
% 78.54/78.56 cnf(79,plain,
% 78.54/78.56 (~P2(x791,f4(x792,f2(x793,x794)))+P2(x791,f4(x792,f2(x794,x793)))),
% 78.54/78.56 inference(scs_inference,[],[25,12])).
% 78.54/78.56 cnf(123,plain,
% 78.54/78.56 (~P2(f2(x1231,x1232),x1233)+P2(f2(x1232,x1231),x1233)),
% 78.54/78.56 inference(scs_inference,[],[14,11])).
% 78.54/78.56 cnf(124,plain,
% 78.54/78.56 (~P3(x1241,f4(x1242,f2(x1243,x1244)))+P3(x1241,f4(x1242,f2(x1244,x1243)))),
% 78.54/78.56 inference(scs_inference,[],[14,25,11,10])).
% 78.54/78.56 cnf(126,plain,
% 78.54/78.56 (P2(x1261,f2(x1262,x1263))+~P2(f2(x1263,x1262),x1261)),
% 78.54/78.56 inference(scs_inference,[],[123,16])).
% 78.54/78.56 cnf(127,plain,
% 78.54/78.56 (P2(x1271,f2(x1272,x1273))+~E(f4(f2(x1273,x1272),x1271),f2(x1273,x1272))),
% 78.54/78.56 inference(scs_inference,[],[126,18])).
% 78.54/78.56 cnf(128,plain,
% 78.54/78.56 (~P3(x1281,f4(x1282,f2(x1283,x1284)))+~P2(f2(x1281,x1285),f4(x1282,f2(x1284,x1283)))),
% 78.54/78.56 inference(scs_inference,[],[124,23])).
% 78.54/78.56 cnf(129,plain,
% 78.54/78.56 (~E(f2(x1291,x1292),f4(f2(x1291,x1292),x1293))+P2(x1293,f2(x1292,x1291))),
% 78.54/78.56 inference(scs_inference,[],[127,2])).
% 78.54/78.56 cnf(130,plain,
% 78.54/78.56 (~E(f2(x1301,x1302),f4(f2(x1301,x1302),x1303))+E(f4(x1303,f2(x1302,x1301)),x1303)),
% 78.54/78.56 inference(scs_inference,[],[129,17])).
% 78.54/78.56 cnf(161,plain,
% 78.54/78.56 (~P3(f4(x1611,f2(x1612,x1613)),x1614)+P3(f4(x1611,f2(x1613,x1612)),x1614)),
% 78.54/78.56 inference(scs_inference,[],[25,9])).
% 78.54/78.56 cnf(171,plain,
% 78.54/78.56 (~P2(f4(f2(x1711,x1712),x1713),x1714)+P2(f4(f2(x1712,x1711),x1713),x1714)),
% 78.54/78.56 inference(scs_inference,[],[26,14,9,11])).
% 78.54/78.56 cnf(174,plain,
% 78.54/78.56 (P2(x1741,f4(f2(x1742,x1743),x1744))+~P2(f4(f2(x1743,x1742),x1744),x1741)),
% 78.54/78.56 inference(scs_inference,[],[171,16])).
% 78.54/78.56 cnf(546,plain,
% 78.54/78.56 (~E(f2(a5,a6),f4(f2(a5,a6),a7))+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[2,24])).
% 78.54/78.56 cnf(547,plain,
% 78.54/78.56 (~E(f2(a6,a5),f4(f2(a5,a6),a7))+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[14,546,3])).
% 78.54/78.56 cnf(548,plain,
% 78.54/78.56 (~E(f4(f2(a5,a6),a7),f2(a6,a5))+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[547,2])).
% 78.54/78.56 cnf(549,plain,
% 78.54/78.56 (~E(f4(f2(a6,a5),a7),f2(a6,a5))+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[26,548,3])).
% 78.54/78.56 cnf(550,plain,
% 78.54/78.56 (~P2(f2(a6,a5),a7)+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[549,17])).
% 78.54/78.56 cnf(551,plain,
% 78.54/78.56 (~P2(a7,f2(a6,a5))+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[550,16])).
% 78.54/78.56 cnf(552,plain,
% 78.54/78.56 (~E(f4(a7,f2(a6,a5)),a7)+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[551,18])).
% 78.54/78.56 cnf(553,plain,
% 78.54/78.56 (~E(a7,f4(a7,f2(a6,a5)))+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[552,2])).
% 78.54/78.56 cnf(554,plain,
% 78.54/78.56 (~E(a7,f4(a7,f2(a5,a6)))+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[25,553,3])).
% 78.54/78.56 cnf(555,plain,
% 78.54/78.56 (~E(f4(a7,f2(a5,a6)),a7)+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[554,2])).
% 78.54/78.56 cnf(556,plain,
% 78.54/78.56 (~P2(f2(a5,a6),a7)+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[555,38])).
% 78.54/78.56 cnf(557,plain,
% 78.54/78.56 (~P2(a7,f2(a5,a6))+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[556,16])).
% 78.54/78.56 cnf(558,plain,
% 78.54/78.56 (~E(f2(a6,a5),f4(f2(a6,a5),a7))+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[557,129])).
% 78.54/78.56 cnf(559,plain,
% 78.54/78.56 (~E(f2(a5,a6),f4(f2(a6,a5),a7))+P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[14,558,3])).
% 78.54/78.56 cnf(560,plain,
% 78.54/78.56 (~E(f4(f2(a6,a5),a7),f2(a5,a6))+P3(a5,a7)+P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[559,2])).
% 78.54/78.56 cnf(561,plain,
% 78.54/78.56 (~P3(a7,a6)+~E(f4(f2(a6,a5),a7),f2(a5,a6))+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[560,19])).
% 78.54/78.56 cnf(562,plain,
% 78.54/78.56 (~E(f2(a5,a6),f4(f2(a6,a5),a7))+P3(a5,a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[561,2])).
% 78.54/78.56 cnf(563,plain,
% 78.54/78.56 (~E(f2(a6,a5),f4(f2(a6,a5),a7))+~P3(a7,a6)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[14,562,3])).
% 78.54/78.56 cnf(564,plain,
% 78.54/78.56 (~E(f4(f2(a6,a5),a7),f2(a6,a5))+P3(a5,a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[563,2])).
% 78.54/78.56 cnf(565,plain,
% 78.54/78.56 (~P2(f2(a6,a5),a7)+~P3(a7,a6)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[564,17])).
% 78.54/78.56 cnf(566,plain,
% 78.54/78.56 (~P2(f2(a5,a6),a7)+P3(a5,a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[565,123])).
% 78.54/78.56 cnf(567,plain,
% 78.54/78.56 (~E(f4(f2(a5,a6),a7),f2(a5,a6))+~P3(a7,a6)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[566,18])).
% 78.54/78.56 cnf(572,plain,
% 78.54/78.56 (~E(f2(a5,a6),f4(f2(a5,a6),a7))+~P3(a7,a6)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[2,567])).
% 78.54/78.56 cnf(573,plain,
% 78.54/78.56 (~E(f2(a5,a6),f4(f2(a5,a6),a7))+~P2(f2(a5,x5731),a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[572,23])).
% 78.54/78.56 cnf(676,plain,
% 78.54/78.56 (P2(f2(x6761,x6762),x6763)+~P2(x6763,f2(x6762,x6761))),
% 78.54/78.56 inference(scs_inference,[],[16,123])).
% 78.54/78.56 cnf(741,plain,
% 78.54/78.56 (P2(f4(f2(x7411,x7412),x7413),x7414)+~P2(x7414,f4(f2(x7412,x7411),x7413))),
% 78.54/78.56 inference(scs_inference,[],[16,171])).
% 78.54/78.56 cnf(1275,plain,
% 78.54/78.56 (P2(x12751,x12752)+~E(f4(x12752,x12751),x12752)),
% 78.54/78.56 inference(scs_inference,[],[16,18])).
% 78.54/78.56 cnf(1276,plain,
% 78.54/78.56 (~E(x12761,f4(x12761,x12762))+P2(x12762,x12761)),
% 78.54/78.56 inference(scs_inference,[],[1275,2])).
% 78.54/78.56 cnf(1277,plain,
% 78.54/78.56 (~E(x12771,f4(x12771,x12772))+E(f4(x12772,x12771),x12772)),
% 78.54/78.56 inference(scs_inference,[],[1276,17])).
% 78.54/78.56 cnf(1347,plain,
% 78.54/78.56 (P2(f2(x13471,x13472),x13473)+~E(f4(f2(x13472,x13471),x13473),f2(x13472,x13471))),
% 78.54/78.56 inference(scs_inference,[],[16,127])).
% 78.54/78.56 cnf(1348,plain,
% 78.54/78.56 (~E(f2(x13481,x13482),f4(f2(x13481,x13482),x13483))+P2(f2(x13482,x13481),x13483)),
% 78.54/78.56 inference(scs_inference,[],[1347,2])).
% 78.54/78.56 cnf(1349,plain,
% 78.54/78.56 (~E(f2(x13491,x13492),f4(f2(x13491,x13492),x13493))+E(f4(f2(x13492,x13491),x13493),f2(x13492,x13491))),
% 78.54/78.56 inference(scs_inference,[],[1348,17])).
% 78.54/78.56 cnf(1354,plain,
% 78.54/78.56 (P2(x13541,x13542)+~E(x13541,f4(x13541,x13542))),
% 78.54/78.56 inference(scs_inference,[],[16,1276])).
% 78.54/78.56 cnf(1355,plain,
% 78.54/78.56 (P2(f4(x13551,x13552),x13552)+~E(x13551,f4(x13551,x13552))),
% 78.54/78.56 inference(scs_inference,[],[1354,6])).
% 78.54/78.56 cnf(1356,plain,
% 78.54/78.56 (~E(f4(x13561,x13562),x13561)+P2(f4(x13561,x13562),x13562)),
% 78.54/78.56 inference(scs_inference,[],[1355,2])).
% 78.54/78.56 cnf(1357,plain,
% 78.54/78.56 (P2(f4(x13571,f2(x13572,x13573)),f2(x13573,x13572))+~E(f4(x13571,f2(x13572,x13573)),x13571)),
% 78.54/78.56 inference(scs_inference,[],[1356,31])).
% 78.54/78.56 cnf(1361,plain,
% 78.54/78.56 (P2(x13611,f4(x13612,x13611))+~E(x13612,f4(x13612,x13611))),
% 78.54/78.56 inference(scs_inference,[],[16,1355])).
% 78.54/78.56 cnf(1362,plain,
% 78.54/78.56 (~E(f4(x13621,x13622),x13621)+P2(x13622,f4(x13621,x13622))),
% 78.54/78.56 inference(scs_inference,[],[1361,2])).
% 78.54/78.56 cnf(1367,plain,
% 78.54/78.56 (P2(f2(x13671,x13672),f4(x13673,f2(x13672,x13671)))+~E(f4(x13673,f2(x13672,x13671)),x13673)),
% 78.54/78.56 inference(scs_inference,[],[16,1357])).
% 78.54/78.56 cnf(1368,plain,
% 78.54/78.56 (~E(f4(x13681,f2(x13682,x13683)),x13681)+~P3(x13683,f4(x13681,f2(x13682,x13683)))),
% 78.54/78.56 inference(scs_inference,[],[1367,23])).
% 78.54/78.56 cnf(1378,plain,
% 78.54/78.56 (P2(x13781,f2(x13782,x13783))+P3(x13783,x13781)+P3(x13782,x13781)),
% 78.54/78.56 inference(scs_inference,[],[16,22])).
% 78.54/78.56 cnf(1379,plain,
% 78.54/78.56 (P3(a6,a7)+P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[1378,551])).
% 78.54/78.56 cnf(1386,plain,
% 78.54/78.56 (~P2(a7,f2(a5,x13861))+~E(f2(a5,a6),f4(f2(a5,a6),a7))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[16,573])).
% 78.54/78.56 cnf(1387,plain,
% 78.54/78.56 (~E(f4(f2(a5,a6),a7),f2(a5,a6))+~P2(a7,f2(a5,x13871))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1386,2])).
% 78.54/78.56 cnf(1388,plain,
% 78.54/78.56 (~P2(f2(a5,a6),a7)+~P2(a7,f2(a5,x13881))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1387,17])).
% 78.54/78.56 cnf(1389,plain,
% 78.54/78.56 (~P2(f2(a6,a5),a7)+~P2(a7,f2(a5,x13891))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1388,123])).
% 78.54/78.56 cnf(1390,plain,
% 78.54/78.56 (~E(f4(f2(a6,a5),a7),f2(a6,a5))+~P2(a7,f2(a5,x13901))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1389,18])).
% 78.54/78.56 cnf(1391,plain,
% 78.54/78.56 (~P2(a7,f2(a6,a5))+~P2(a7,f2(a5,x13911))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1390,38])).
% 78.54/78.56 cnf(1392,plain,
% 78.54/78.56 (~P2(a7,f2(a5,a6))+~P2(a7,f2(a5,x13921))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[14,1391,12])).
% 78.54/78.56 cnf(1393,plain,
% 78.54/78.56 (~P2(a7,f2(a5,a6))+~P3(a7,a6)),
% 78.54/78.56 inference(factoring_inference,[],[1392])).
% 78.54/78.56 cnf(1394,plain,
% 78.54/78.56 (~P2(a7,f2(a6,a5))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1393,31])).
% 78.54/78.56 cnf(1395,plain,
% 78.54/78.56 (~P2(f2(a5,a6),a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1394,126])).
% 78.54/78.56 cnf(1396,plain,
% 78.54/78.56 (~E(f4(a7,f2(a5,a6)),a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1395,1275])).
% 78.54/78.56 cnf(1397,plain,
% 78.54/78.56 (~E(f2(a6,a5),f4(f2(a6,a5),a7))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1396,130])).
% 78.54/78.56 cnf(1398,plain,
% 78.54/78.56 (~E(f4(f2(a6,a5),a7),f2(a6,a5))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1397,2])).
% 78.54/78.56 cnf(1399,plain,
% 78.54/78.56 (~E(a7,f4(a7,f2(a6,a5)))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1398,1277])).
% 78.54/78.56 cnf(1400,plain,
% 78.54/78.56 (~E(f4(a7,f2(a6,a5)),a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1399,2])).
% 78.54/78.56 cnf(1401,plain,
% 78.54/78.56 (~P2(f2(a6,a5),a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1400,38])).
% 78.54/78.56 cnf(1402,plain,
% 78.54/78.56 (~E(f4(f2(a5,a6),a7),f2(a5,a6))+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1401,1347])).
% 78.54/78.56 cnf(1403,plain,
% 78.54/78.56 (~P3(a7,a6)+~P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[1402,20])).
% 78.54/78.56 cnf(1404,plain,
% 78.54/78.56 (P3(a6,a7)+~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1403,1379])).
% 78.54/78.56 cnf(1405,plain,
% 78.54/78.56 (~P3(a7,a6)),
% 78.54/78.56 inference(scs_inference,[],[1404,19])).
% 78.54/78.56 cnf(1414,plain,
% 78.54/78.56 (~P3(f4(a6,f2(a7,a7)),x14141)+P3(a6,x14141)),
% 78.54/78.56 inference(scs_inference,[],[1405,22,1378,38,1367,9])).
% 78.54/78.56 cnf(1773,plain,
% 78.54/78.56 (P3(a5,a7)+E(f4(f2(a5,a6),a7),f2(a5,a6))),
% 78.54/78.56 inference(scs_inference,[],[1379,21])).
% 78.54/78.56 cnf(1774,plain,
% 78.54/78.56 (E(f4(f2(a5,a6),a7),f2(a5,a6))),
% 78.54/78.56 inference(scs_inference,[],[1773,20])).
% 78.54/78.56 cnf(1792,plain,
% 78.54/78.56 (E(f4(a7,f2(a5,a6)),a7)),
% 78.54/78.56 inference(scs_inference,[],[1774,14,1356,174,1275,16,31,741,676,3,11,2,17])).
% 78.54/78.56 cnf(1794,plain,
% 78.54/78.56 (~P3(a5,a7)),
% 78.54/78.56 inference(scs_inference,[],[1774,14,1356,174,1275,16,31,741,676,3,11,2,17,59])).
% 78.54/78.56 cnf(1800,plain,
% 78.54/78.56 (~P3(a6,a7)),
% 78.54/78.56 inference(scs_inference,[],[1774,14,1356,174,1275,16,31,741,676,3,11,2,17,59,1349,130,48])).
% 78.54/78.56 cnf(1816,plain,
% 78.54/78.56 (P2(f2(a6,a5),f4(a7,f2(a5,a6)))),
% 78.54/78.56 inference(scs_inference,[],[1774,14,1405,1356,174,1275,16,31,741,676,3,11,2,17,59,1349,130,48,9,10,1378,12,22,38,1362,161,1379,1414,79,123])).
% 78.54/78.56 cnf(1838,plain,
% 78.54/78.56 ($false),
% 78.54/78.56 inference(scs_inference,[],[1794,1800,1816,1792,128,1368,1379]),
% 78.54/78.56 ['proof']).
% 78.54/78.56 % SZS output end Proof
% 78.54/78.56 % Total time :77.920000s
%------------------------------------------------------------------------------