TSTP Solution File: SEU186+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 16:18:14 EDT 2023
% Result : Theorem 0.71s 0.82s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 23 17:12:23 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 0.71/0.81 %-------------------------------------------
% 0.71/0.81 % File :CSE---1.6
% 0.71/0.81 % Problem :theBenchmark
% 0.71/0.81 % Transform :cnf
% 0.71/0.81 % Format :tptp:raw
% 0.71/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.81
% 0.71/0.81 % Result :Theorem 0.180000s
% 0.71/0.81 % Output :CNFRefutation 0.180000s
% 0.71/0.81 %-------------------------------------------
% 0.71/0.82 %------------------------------------------------------------------------------
% 0.71/0.82 % File : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.71/0.82 % Domain : Set theory
% 0.71/0.82 % Problem : MPTP bushy problem t56_relat_1
% 0.71/0.82 % Version : [Urb07] axioms : Especial.
% 0.71/0.82 % English :
% 0.71/0.82
% 0.71/0.82 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.71/0.82 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.71/0.82 % Source : [Urb07]
% 0.71/0.82 % Names : bushy-t56_relat_1 [Urb07]
% 0.71/0.82
% 0.71/0.82 % Status : Theorem
% 0.71/0.82 % Rating : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.21 v4.1.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.3.0
% 0.71/0.82 % Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% 0.71/0.82 % Number of atoms : 42 ( 6 equ)
% 0.71/0.82 % Maximal formula atoms : 3 ( 1 avg)
% 0.71/0.82 % Number of connectives : 28 ( 12 ~; 1 |; 7 &)
% 0.71/0.82 % ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% 0.71/0.82 % Maximal formula depth : 9 ( 3 avg)
% 0.71/0.82 % Maximal term depth : 3 ( 1 avg)
% 0.71/0.82 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 0.71/0.82 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.71/0.82 % Number of variables : 34 ( 29 !; 5 ?)
% 0.71/0.82 % SPC : FOF_THM_RFO_SEQ
% 0.71/0.82
% 0.71/0.82 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.71/0.82 % library, www.mizar.org
% 0.71/0.82 %------------------------------------------------------------------------------
% 0.71/0.82 fof(antisymmetry_r2_hidden,axiom,
% 0.71/0.82 ! [A,B] :
% 0.71/0.82 ( in(A,B)
% 0.71/0.82 => ~ in(B,A) ) ).
% 0.71/0.82
% 0.71/0.82 fof(cc1_relat_1,axiom,
% 0.71/0.82 ! [A] :
% 0.71/0.82 ( empty(A)
% 0.71/0.82 => relation(A) ) ).
% 0.71/0.82
% 0.71/0.82 fof(commutativity_k2_tarski,axiom,
% 0.71/0.82 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 0.71/0.82
% 0.71/0.82 fof(d1_relat_1,axiom,
% 0.71/0.82 ! [A] :
% 0.71/0.82 ( relation(A)
% 0.71/0.82 <=> ! [B] :
% 0.71/0.82 ~ ( in(B,A)
% 0.71/0.82 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 0.71/0.82
% 0.71/0.82 fof(d5_tarski,axiom,
% 0.71/0.82 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 0.71/0.82
% 0.71/0.82 fof(dt_k1_tarski,axiom,
% 0.71/0.82 $true ).
% 0.71/0.82
% 0.71/0.82 fof(dt_k1_xboole_0,axiom,
% 0.71/0.82 $true ).
% 0.71/0.82
% 0.71/0.82 fof(dt_k2_tarski,axiom,
% 0.71/0.82 $true ).
% 0.71/0.82
% 0.71/0.82 fof(dt_k4_tarski,axiom,
% 0.71/0.82 $true ).
% 0.71/0.82
% 0.71/0.82 fof(dt_m1_subset_1,axiom,
% 0.71/0.82 $true ).
% 0.71/0.82
% 0.71/0.82 fof(existence_m1_subset_1,axiom,
% 0.71/0.82 ! [A] :
% 0.71/0.82 ? [B] : element(B,A) ).
% 0.71/0.82
% 0.71/0.82 fof(fc1_xboole_0,axiom,
% 0.71/0.82 empty(empty_set) ).
% 0.71/0.82
% 0.71/0.82 fof(fc1_zfmisc_1,axiom,
% 0.71/0.82 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 0.71/0.82
% 0.71/0.82 fof(fc2_subset_1,axiom,
% 0.71/0.82 ! [A] : ~ empty(singleton(A)) ).
% 0.71/0.82
% 0.71/0.82 fof(fc3_subset_1,axiom,
% 0.71/0.82 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 0.71/0.82
% 0.71/0.82 fof(fc4_relat_1,axiom,
% 0.71/0.82 ( empty(empty_set)
% 0.71/0.82 & relation(empty_set) ) ).
% 0.71/0.82
% 0.71/0.82 fof(rc1_relat_1,axiom,
% 0.71/0.82 ? [A] :
% 0.71/0.82 ( empty(A)
% 0.71/0.82 & relation(A) ) ).
% 0.71/0.82
% 0.71/0.82 fof(rc1_xboole_0,axiom,
% 0.71/0.82 ? [A] : empty(A) ).
% 0.71/0.82
% 0.71/0.82 fof(rc2_relat_1,axiom,
% 0.71/0.82 ? [A] :
% 0.71/0.82 ( ~ empty(A)
% 0.71/0.82 & relation(A) ) ).
% 0.71/0.82
% 0.71/0.82 fof(rc2_xboole_0,axiom,
% 0.71/0.82 ? [A] : ~ empty(A) ).
% 0.71/0.82
% 0.71/0.82 fof(t1_subset,axiom,
% 0.71/0.82 ! [A,B] :
% 0.71/0.82 ( in(A,B)
% 0.71/0.82 => element(A,B) ) ).
% 0.71/0.82
% 0.71/0.82 fof(t2_subset,axiom,
% 0.71/0.82 ! [A,B] :
% 0.71/0.82 ( element(A,B)
% 0.71/0.82 => ( empty(B)
% 0.71/0.82 | in(A,B) ) ) ).
% 0.71/0.82
% 0.71/0.82 fof(t56_relat_1,conjecture,
% 0.71/0.82 ! [A] :
% 0.71/0.82 ( relation(A)
% 0.71/0.82 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 0.71/0.82 => A = empty_set ) ) ).
% 0.71/0.82
% 0.71/0.82 fof(t6_boole,axiom,
% 0.71/0.82 ! [A] :
% 0.71/0.82 ( empty(A)
% 0.71/0.82 => A = empty_set ) ).
% 0.71/0.82
% 0.71/0.82 fof(t7_boole,axiom,
% 0.71/0.82 ! [A,B] :
% 0.71/0.82 ~ ( in(A,B)
% 0.71/0.82 & empty(B) ) ).
% 0.71/0.82
% 0.71/0.82 fof(t8_boole,axiom,
% 0.71/0.82 ! [A,B] :
% 0.71/0.82 ~ ( empty(A)
% 0.71/0.82 & A != B
% 0.71/0.82 & empty(B) ) ).
% 0.71/0.82
% 0.71/0.82 %------------------------------------------------------------------------------
% 0.71/0.82 %-------------------------------------------
% 0.71/0.82 % Proof found
% 0.71/0.82 % SZS status Theorem for theBenchmark
% 0.71/0.82 % SZS output start Proof
% 0.71/0.82 %ClaNum:45(EqnAxiom:18)
% 0.71/0.82 %VarNum:54(SingletonVarNum:26)
% 0.71/0.82 %MaxLitNum:3
% 0.71/0.83 %MaxfuncDepth:3
% 0.71/0.83 %SharedTerms:16
% 0.71/0.83 %goalClause: 26 29 35
% 0.71/0.83 %singleGoalClaCount:3
% 0.71/0.83 [20]P1(a1)
% 0.71/0.83 [21]P1(a2)
% 0.71/0.83 [22]P1(a7)
% 0.71/0.83 [23]P3(a1)
% 0.71/0.83 [24]P3(a2)
% 0.71/0.83 [25]P3(a8)
% 0.71/0.83 [26]P3(a9)
% 0.71/0.83 [29]~E(a9,a1)
% 0.71/0.83 [30]~P1(a8)
% 0.71/0.83 [31]~P1(a10)
% 0.71/0.83 [27]P2(f3(x271),x271)
% 0.71/0.83 [32]~P1(f12(x321))
% 0.71/0.83 [28]E(f11(x281,x282),f11(x282,x281))
% 0.71/0.83 [33]~P1(f11(x331,x332))
% 0.71/0.83 [35]~P4(f11(f11(x351,x352),f12(x351)),a9)
% 0.71/0.83 [36]~P1(x361)+E(x361,a1)
% 0.71/0.83 [37]~P1(x371)+P3(x371)
% 0.71/0.83 [39]P3(x391)+P4(f4(x391),x391)
% 0.71/0.83 [40]~P1(x401)+~P4(x402,x401)
% 0.71/0.83 [41]~P4(x411,x412)+P2(x411,x412)
% 0.71/0.83 [43]~P4(x432,x431)+~P4(x431,x432)
% 0.71/0.83 [44]P3(x441)+~E(f4(x441),f11(f11(x442,x443),f12(x442)))
% 0.71/0.83 [38]~P1(x382)+~P1(x381)+E(x381,x382)
% 0.71/0.83 [42]~P2(x422,x421)+P1(x421)+P4(x422,x421)
% 0.71/0.83 [45]~P3(x451)+~P4(x452,x451)+E(f11(f11(f5(x451,x452),f6(x451,x452)),f12(f5(x451,x452))),x452)
% 0.71/0.83 %EqnAxiom
% 0.71/0.83 [1]E(x11,x11)
% 0.71/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.71/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.71/0.83 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.71/0.83 [5]~E(x51,x52)+E(f11(x51,x53),f11(x52,x53))
% 0.71/0.83 [6]~E(x61,x62)+E(f11(x63,x61),f11(x63,x62))
% 0.71/0.83 [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 0.71/0.83 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.71/0.83 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.71/0.83 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.71/0.83 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.71/0.83 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.71/0.83 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 0.71/0.83 [14]P4(x142,x143)+~E(x141,x142)+~P4(x141,x143)
% 0.71/0.83 [15]P4(x153,x152)+~E(x151,x152)+~P4(x153,x151)
% 0.71/0.83 [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 0.71/0.83 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173)
% 0.71/0.83 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181)
% 0.71/0.83
% 0.71/0.83 %-------------------------------------------
% 0.71/0.83 cnf(46,plain,
% 0.71/0.83 (~P4(x461,a1)),
% 0.71/0.83 inference(scs_inference,[],[20,40])).
% 0.71/0.83 cnf(47,plain,
% 0.71/0.83 (~P1(a9)),
% 0.71/0.83 inference(scs_inference,[],[29,20,40,36])).
% 0.71/0.83 cnf(48,plain,
% 0.71/0.83 (P2(f3(f11(x481,x482)),f11(x482,x481))),
% 0.71/0.83 inference(scs_inference,[],[29,20,27,28,40,36,18])).
% 0.71/0.83 cnf(49,plain,
% 0.71/0.83 (P4(f3(f11(x491,x492)),f11(x491,x492))),
% 0.71/0.83 inference(scs_inference,[],[29,20,27,33,28,40,36,18,42])).
% 0.71/0.83 cnf(54,plain,
% 0.71/0.83 (~P4(f11(x541,x542),f3(f11(x541,x542)))),
% 0.71/0.83 inference(scs_inference,[],[29,20,27,33,28,40,36,18,42,2,43])).
% 0.71/0.83 cnf(58,plain,
% 0.71/0.83 (E(f6(x581,f11(x582,x583)),f6(x581,f11(x583,x582)))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12])).
% 0.71/0.83 cnf(59,plain,
% 0.71/0.83 (E(f6(f11(x591,x592),x593),f6(f11(x592,x591),x593))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12,11])).
% 0.71/0.83 cnf(60,plain,
% 0.71/0.83 (E(f5(x601,f11(x602,x603)),f5(x601,f11(x603,x602)))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12,11,10])).
% 0.71/0.83 cnf(61,plain,
% 0.71/0.83 (E(f5(f11(x611,x612),x613),f5(f11(x612,x611),x613))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12,11,10,9])).
% 0.71/0.83 cnf(64,plain,
% 0.71/0.83 (E(f11(x641,f11(x642,x643)),f11(x641,f11(x643,x642)))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12,11,10,9,8,7,6])).
% 0.71/0.83 cnf(65,plain,
% 0.71/0.83 (E(f11(f11(x651,x652),x653),f11(f11(x652,x651),x653))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12,11,10,9,8,7,6,5])).
% 0.71/0.83 cnf(66,plain,
% 0.71/0.83 (E(f3(f11(x661,x662)),f3(f11(x662,x661)))),
% 0.71/0.83 inference(scs_inference,[],[29,20,22,27,33,28,40,36,18,42,2,43,37,12,11,10,9,8,7,6,5,4])).
% 0.71/0.83 cnf(68,plain,
% 0.71/0.83 (~E(f11(x681,x682),a1)),
% 0.71/0.83 inference(scs_inference,[],[26,29,20,22,27,33,28,40,36,18,42,2,43,37,12,11,10,9,8,7,6,5,4,16,15])).
% 0.71/0.83 cnf(76,plain,
% 0.71/0.83 (~P4(a1,a9)),
% 0.71/0.83 inference(scs_inference,[],[26,68,45])).
% 0.71/0.83 cnf(79,plain,
% 0.71/0.83 (E(a2,a1)),
% 0.71/0.83 inference(scs_inference,[],[26,21,68,45,36])).
% 0.71/0.83 cnf(81,plain,
% 0.71/0.83 (~P4(f11(x811,f11(x812,x813)),f3(f11(x811,f11(x813,x812))))),
% 0.71/0.83 inference(scs_inference,[],[26,21,54,64,68,45,36,14])).
% 0.71/0.83 cnf(82,plain,
% 0.71/0.83 (E(f11(x821,f11(x822,x823)),f11(x821,f11(x823,x822)))),
% 0.71/0.83 inference(rename_variables,[],[64])).
% 0.71/0.83 cnf(84,plain,
% 0.71/0.83 (~E(a9,a2)),
% 0.71/0.83 inference(scs_inference,[],[26,21,29,54,64,68,45,36,14,3])).
% 0.71/0.83 cnf(85,plain,
% 0.71/0.83 (~P2(f11(f11(x851,x852),f12(x851)),a9)),
% 0.71/0.83 inference(scs_inference,[],[26,21,35,29,54,64,68,47,45,36,14,3,42])).
% 0.71/0.83 cnf(87,plain,
% 0.71/0.83 (E(a1,a2)),
% 0.71/0.83 inference(scs_inference,[],[26,21,35,29,54,64,68,47,45,36,14,3,42,2])).
% 0.71/0.83 cnf(89,plain,
% 0.71/0.83 (E(f11(x891,x892),f11(x892,x891))),
% 0.71/0.83 inference(rename_variables,[],[28])).
% 0.71/0.83 cnf(93,plain,
% 0.71/0.83 (~E(f3(a9),f11(f11(x931,x932),f12(x931)))),
% 0.71/0.83 inference(scs_inference,[],[26,21,31,35,29,27,28,49,54,64,68,47,45,36,14,3,42,2,15,13,43,17])).
% 0.71/0.83 cnf(95,plain,
% 0.71/0.83 (P2(f3(f11(f11(x951,x952),x953)),f11(x953,f11(x952,x951)))),
% 0.71/0.83 inference(scs_inference,[],[26,21,31,35,29,27,28,89,48,49,54,64,82,68,47,45,36,14,3,42,2,15,13,43,17,16,18])).
% 0.71/0.83 cnf(99,plain,
% 0.71/0.83 (P4(f3(f11(f11(x991,x992),x993)),f11(x993,f11(x992,x991)))),
% 0.71/0.83 inference(scs_inference,[],[33,95,42])).
% 0.71/0.83 cnf(100,plain,
% 0.71/0.83 (P2(f3(f11(f11(x1001,x1002),x1003)),f11(x1003,f11(x1002,x1001)))),
% 0.71/0.83 inference(rename_variables,[],[95])).
% 0.71/0.83 cnf(103,plain,
% 0.71/0.83 (P2(f3(f11(x1031,f11(x1032,x1033))),f11(x1031,f11(x1033,x1032)))),
% 0.71/0.83 inference(scs_inference,[],[33,66,95,100,42,17])).
% 0.71/0.83 cnf(105,plain,
% 0.71/0.83 (E(f3(f11(x1051,x1052)),f3(f11(x1052,x1051)))),
% 0.71/0.83 inference(rename_variables,[],[66])).
% 0.71/0.83 cnf(106,plain,
% 0.71/0.83 (~E(f3(a9),f11(f12(x1061),f11(x1061,x1062)))),
% 0.71/0.83 inference(scs_inference,[],[33,28,66,95,100,93,42,17,3])).
% 0.71/0.83 cnf(110,plain,
% 0.71/0.83 (~E(f11(f11(x1101,x1102),f12(x1101)),f3(a9))),
% 0.71/0.83 inference(scs_inference,[],[33,28,66,105,95,100,93,42,17,3,14,2])).
% 0.71/0.83 cnf(111,plain,
% 0.71/0.83 (E(a7,a1)),
% 0.71/0.83 inference(scs_inference,[],[22,33,28,66,105,95,100,93,42,17,3,14,2,36])).
% 0.71/0.83 cnf(124,plain,
% 0.71/0.83 (~P2(f11(f11(x1241,x1242),f12(x1242)),a9)),
% 0.71/0.83 inference(scs_inference,[],[65,85,17])).
% 0.71/0.83 cnf(126,plain,
% 0.71/0.83 (~P2(a1,a9)),
% 0.71/0.83 inference(scs_inference,[],[76,65,47,85,17,42])).
% 0.71/0.83 cnf(130,plain,
% 0.71/0.83 (E(f11(x1301,x1302),f11(x1302,x1301))),
% 0.71/0.83 inference(rename_variables,[],[28])).
% 0.71/0.83 cnf(131,plain,
% 0.71/0.83 (E(a7,a2)),
% 0.71/0.83 inference(scs_inference,[],[28,103,76,111,65,87,47,85,17,42,18,3])).
% 0.71/0.83 cnf(133,plain,
% 0.71/0.83 (~P4(f11(f11(x1331,x1332),x1333),f3(f11(x1333,f11(x1332,x1331))))),
% 0.71/0.83 inference(scs_inference,[],[28,130,81,103,76,111,65,87,47,85,17,42,18,3,2,14])).
% 0.71/0.83 cnf(136,plain,
% 0.71/0.83 (~E(a7,f12(x1361))),
% 0.71/0.83 inference(scs_inference,[],[32,22,28,130,81,103,76,111,65,87,47,85,17,42,18,3,2,14,13])).
% 0.71/0.83 cnf(137,plain,
% 0.71/0.83 (P4(f3(a8),a8)),
% 0.71/0.83 inference(scs_inference,[],[30,27,42])).
% 0.71/0.83 cnf(138,plain,
% 0.71/0.83 (P2(f3(x1381),x1381)),
% 0.71/0.83 inference(rename_variables,[],[27])).
% 0.71/0.83 cnf(140,plain,
% 0.71/0.83 (~E(f3(a9),f11(f11(x1401,x1402),f12(x1402)))),
% 0.71/0.83 inference(scs_inference,[],[30,27,138,124,42,17])).
% 0.71/0.83 cnf(141,plain,
% 0.71/0.83 (P2(f3(x1411),x1411)),
% 0.71/0.83 inference(rename_variables,[],[27])).
% 0.71/0.83 cnf(142,plain,
% 0.71/0.83 (~P4(f11(f11(x1421,x1422),f12(x1422)),a9)),
% 0.71/0.83 inference(scs_inference,[],[35,30,27,138,124,65,42,17,14])).
% 0.71/0.83 cnf(144,plain,
% 0.71/0.83 (P2(f3(f6(f11(x1441,x1442),x1443)),f6(f11(x1442,x1441),x1443))),
% 0.71/0.83 inference(scs_inference,[],[35,30,27,138,141,59,124,65,42,17,14,18])).
% 0.71/0.84 cnf(149,plain,
% 0.71/0.84 (E(f5(x1491,a7),f5(x1491,a2))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10])).
% 0.71/0.84 cnf(152,plain,
% 0.71/0.84 (E(f11(a7,x1521),f11(a2,x1521))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10,8,7,5])).
% 0.71/0.84 cnf(153,plain,
% 0.71/0.84 (E(f6(x1531,a7),f6(x1531,a2))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10,8,7,5,12])).
% 0.71/0.84 cnf(154,plain,
% 0.71/0.84 (E(f6(a7,x1541),f6(a2,x1541))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10,8,7,5,12,11])).
% 0.71/0.84 cnf(155,plain,
% 0.71/0.84 (E(f5(a7,x1551),f5(a2,x1551))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10,8,7,5,12,11,9])).
% 0.71/0.84 cnf(156,plain,
% 0.71/0.84 (E(f11(x1561,a7),f11(x1561,a2))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10,8,7,5,12,11,9,6])).
% 0.71/0.84 cnf(157,plain,
% 0.71/0.84 (E(f3(a7),f3(a2))),
% 0.71/0.84 inference(scs_inference,[],[35,30,21,27,138,141,59,106,84,124,131,65,42,17,14,18,3,13,2,10,8,7,5,12,11,9,6,4])).
% 0.71/0.84 cnf(168,plain,
% 0.71/0.84 (P2(f3(x1681),x1681)),
% 0.71/0.84 inference(rename_variables,[],[27])).
% 0.71/0.84 cnf(172,plain,
% 0.71/0.84 (E(f5(x1721,a2),f5(x1721,a7))),
% 0.71/0.84 inference(scs_inference,[],[31,27,168,133,149,157,66,15,42,17,2])).
% 0.71/0.84 cnf(173,plain,
% 0.71/0.84 (~E(f3(a9),f11(f12(x1731),f11(x1732,x1731)))),
% 0.71/0.84 inference(scs_inference,[],[31,27,168,28,133,149,140,157,66,15,42,17,2,3])).
% 0.71/0.84 cnf(179,plain,
% 0.71/0.84 (P4(x1791,a8)+~E(f3(a8),x1791)),
% 0.71/0.84 inference(scs_inference,[],[31,27,168,28,60,133,149,140,157,137,66,15,42,17,2,3,43,13,16,14])).
% 0.71/0.84 cnf(183,plain,
% 0.71/0.84 (P4(f3(f12(x1831)),f12(x1831))),
% 0.71/0.84 inference(scs_inference,[],[32,27,42])).
% 0.71/0.84 cnf(186,plain,
% 0.71/0.84 (P4(f3(f11(f11(x1861,x1862),x1863)),f11(f11(x1862,x1861),x1863))),
% 0.71/0.84 inference(scs_inference,[],[32,27,28,99,42,15])).
% 0.71/0.84 cnf(187,plain,
% 0.71/0.84 (E(f11(x1871,x1872),f11(x1872,x1871))),
% 0.71/0.84 inference(rename_variables,[],[28])).
% 0.71/0.84 cnf(188,plain,
% 0.71/0.84 (~P2(a2,a9)),
% 0.71/0.84 inference(scs_inference,[],[32,27,28,79,99,126,42,15,17])).
% 0.71/0.84 cnf(193,plain,
% 0.71/0.84 (~E(f11(f12(x1931),f11(x1932,x1931)),f3(a9))),
% 0.71/0.84 inference(scs_inference,[],[20,32,27,28,144,153,173,79,99,126,42,15,17,13,18,2])).
% 0.71/0.84 cnf(194,plain,
% 0.71/0.84 (~P4(f11(f12(x1941),f11(x1942,x1941)),a9)),
% 0.71/0.84 inference(scs_inference,[],[20,32,27,28,187,144,153,173,142,79,99,126,42,15,17,13,18,2,14])).
% 0.71/0.84 cnf(195,plain,
% 0.71/0.84 (E(f11(x1951,x1952),f11(x1952,x1951))),
% 0.71/0.84 inference(rename_variables,[],[28])).
% 0.71/0.84 cnf(203,plain,
% 0.71/0.84 (~P4(f3(a9),a8)),
% 0.71/0.84 inference(scs_inference,[],[20,25,32,27,28,187,195,144,152,153,110,173,142,79,99,126,42,15,17,13,18,2,14,3,41,43,45])).
% 0.71/0.84 cnf(213,plain,
% 0.71/0.84 (~E(f3(a9),a2)),
% 0.71/0.84 inference(scs_inference,[],[46,47,27,183,186,194,188,41,42,15,17])).
% 0.71/0.84 cnf(214,plain,
% 0.71/0.84 (P2(f3(x2141),x2141)),
% 0.71/0.84 inference(rename_variables,[],[27])).
% 0.71/0.84 cnf(219,plain,
% 0.71/0.84 (P2(f3(f5(f11(x2191,x2192),x2193)),f5(f11(x2192,x2191),x2193))),
% 0.71/0.84 inference(scs_inference,[],[20,46,31,47,27,214,61,183,186,154,194,188,66,41,42,15,17,13,2,14,18])).
% 0.71/0.84 cnf(225,plain,
% 0.71/0.84 (~E(a8,a9)),
% 0.71/0.84 inference(scs_inference,[],[20,46,31,47,27,214,61,183,186,154,194,203,188,58,66,41,42,15,17,13,2,14,18,3,179,4])).
% 0.71/0.84 cnf(237,plain,
% 0.71/0.84 (E(f5(x2371,f5(a7,x2372)),f5(x2371,f5(a2,x2372)))),
% 0.71/0.84 inference(scs_inference,[],[21,22,28,155,193,136,213,38,4,2,3,40,7,12,11,10])).
% 0.71/0.84 cnf(241,plain,
% 0.71/0.84 (E(f5(f5(a7,x2411),x2412),f5(f5(a2,x2411),x2412))),
% 0.71/0.84 inference(scs_inference,[],[21,22,28,155,193,136,213,38,4,2,3,40,7,12,11,10,8,6,5,9])).
% 0.71/0.84 cnf(247,plain,
% 0.71/0.84 (P4(f3(f11(a7,x2471)),f11(x2471,a2))),
% 0.71/0.84 inference(scs_inference,[],[21,49,22,28,219,155,156,193,136,213,66,38,4,2,3,40,7,12,11,10,8,6,5,9,42,15,14])).
% 0.71/0.84 cnf(278,plain,
% 0.71/0.84 (P2(f3(x2781),x2781)),
% 0.71/0.84 inference(rename_variables,[],[27])).
% 0.71/0.84 cnf(286,plain,
% 0.71/0.84 (P2(f3(x2861),x2861)),
% 0.71/0.84 inference(rename_variables,[],[27])).
% 0.71/0.84 cnf(288,plain,
% 0.71/0.84 (E(f5(x2881,f5(a7,x2882)),f5(x2881,f5(a2,x2882)))),
% 0.71/0.84 inference(rename_variables,[],[237])).
% 0.71/0.84 cnf(292,plain,
% 0.71/0.84 ($false),
% 0.71/0.84 inference(scs_inference,[],[22,31,47,27,278,286,28,225,237,288,241,247,172,110,26,126,43,4,42,15,2,13,17,3,18,45]),
% 0.71/0.84 ['proof']).
% 0.71/0.84 % SZS output end Proof
% 0.71/0.84 % Total time :0.180000s
%------------------------------------------------------------------------------