TSTP Solution File: COL088-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL088-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 : Wed Aug 30 18:21:39 EDT 2023
% Result : Unsatisfiable 0.20s 0.66s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL088-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 05:27:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 % File :CSE---1.6
% 0.20/0.65 % Problem :theBenchmark
% 0.20/0.65 % Transform :cnf
% 0.20/0.65 % Format :tptp:raw
% 0.20/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.65
% 0.20/0.65 % Result :Theorem 0.030000s
% 0.20/0.65 % Output :CNFRefutation 0.030000s
% 0.20/0.65 %-------------------------------------------
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 % File : COL088-1 : TPTP v8.1.2. Released v2.7.0.
% 0.20/0.66 % Domain : Combinatory Logic
% 0.20/0.66 % Problem : ap_reduce1_2c1
% 0.20/0.66 % Version : Reduced > Especial.
% 0.20/0.66 % English : [| p ---> q; r \<in> comb |] ==> p#r ---> q#r
% 0.20/0.66
% 0.20/0.66 % Refs : [Men03] Meng (2003), Email to G. Sutcliffe
% 0.20/0.66 % Source : [Men03]
% 0.20/0.66 % Names :
% 0.20/0.66
% 0.20/0.66 % Status : Unsatisfiable
% 0.20/0.66 % Rating : 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.21 v6.0.0, 0.40 v5.5.0, 0.60 v5.3.0, 0.67 v5.2.0, 0.56 v5.1.0, 0.59 v5.0.0, 0.50 v4.1.0, 0.54 v4.0.1, 0.45 v4.0.0, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.42 v3.3.0, 0.50 v3.2.0, 0.54 v3.1.0, 0.36 v2.7.0
% 0.20/0.66 % Syntax : Number of clauses : 44 ( 14 unt; 1 nHn; 43 RR)
% 0.20/0.66 % Number of literals : 93 ( 15 equ; 52 neg)
% 0.20/0.66 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.66 % Maximal term depth : 5 ( 1 avg)
% 0.20/0.66 % Number of predicates : 7 ( 6 usr; 0 prp; 1-3 aty)
% 0.20/0.66 % Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% 0.20/0.66 % Number of variables : 97 ( 25 sgn)
% 0.20/0.66 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.66
% 0.20/0.66 % Comments : Problem coming out of an Isabelle proof.
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 %----axioms from CombZF.thy.
% 0.20/0.66 %----free algebra for K, S, comb_app(P,Q).
% 0.20/0.66
% 0.20/0.66 cnf(k_s,axiom,
% 0.20/0.66 combK != combS ).
% 0.20/0.66
% 0.20/0.66 cnf(k_app,axiom,
% 0.20/0.66 combK != comb_app(P,Q) ).
% 0.20/0.66
% 0.20/0.66 cnf(s_app,axiom,
% 0.20/0.66 combS != comb_app(P,Q) ).
% 0.20/0.66
% 0.20/0.66 cnf(app_app1,axiom,
% 0.20/0.66 ( comb_app(P1,Q1) != comb_app(P2,Q2)
% 0.20/0.66 | P1 = P2 ) ).
% 0.20/0.66
% 0.20/0.66 cnf(app_app2,axiom,
% 0.20/0.66 ( comb_app(P1,Q1) != comb_app(P2,Q2)
% 0.20/0.66 | Q1 = Q2 ) ).
% 0.20/0.66
% 0.20/0.66 cnf(app_app3,axiom,
% 0.20/0.66 ( P1 != P2
% 0.20/0.66 | Q1 != Q2
% 0.20/0.66 | comb_app(P1,Q1) = comb_app(P2,Q2) ) ).
% 0.20/0.66
% 0.20/0.66 %----add in Ap_E.
% 0.20/0.66 cnf(ap_E1,axiom,
% 0.20/0.66 ( ~ member(comb_app(P,Q),comb)
% 0.20/0.66 | member(P,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_E2,axiom,
% 0.20/0.66 ( ~ member(comb_app(P,Q),comb)
% 0.20/0.66 | member(Q,comb) ) ).
% 0.20/0.66
% 0.20/0.66 %----add in comb.intros(three of them).
% 0.20/0.66 cnf(comb_intros1,axiom,
% 0.20/0.66 member(combK,comb) ).
% 0.20/0.66
% 0.20/0.66 cnf(comb_intros2,axiom,
% 0.20/0.66 member(combS,comb) ).
% 0.20/0.66
% 0.20/0.66 cnf(comb_intros3,axiom,
% 0.20/0.66 ( ~ member(P,comb)
% 0.20/0.66 | ~ member(Q,comb)
% 0.20/0.66 | member(comb_app(P,Q),comb) ) ).
% 0.20/0.66
% 0.20/0.66 %----add in reduction_refl [intro!]:
% 0.20/0.66 cnf(reduction_refl,axiom,
% 0.20/0.66 ( ~ member(A,comb)
% 0.20/0.66 | member(pair(A,A),rtrancl(contract)) ) ).
% 0.20/0.66
% 0.20/0.66 %----add in contract.K
% 0.20/0.66 cnf(contract_K,axiom,
% 0.20/0.66 ( ~ member(P,comb)
% 0.20/0.66 | ~ member(Q,comb)
% 0.20/0.66 | member(pair(comb_app(comb_app(combK,P),Q),P),contract) ) ).
% 0.20/0.66
% 0.20/0.66 %----add in contract.S
% 0.20/0.66 cnf(contract_S,axiom,
% 0.20/0.66 ( ~ member(P,comb)
% 0.20/0.66 | ~ member(Q,comb)
% 0.20/0.66 | ~ member(R,comb)
% 0.20/0.66 | member(pair(comb_app(comb_app(comb_app(combS,P),Q),R),comb_app(comb_app(P,R),comb_app(Q,R))),contract) ) ).
% 0.20/0.66
% 0.20/0.66 %----this manually rename the formula Ap_contractE
% 0.20/0.66 cnf(ap_contractE1,axiom,
% 0.20/0.66 ( ~ member(pair(comb_app(P,Q),R),contract)
% 0.20/0.66 | ap_contractE_c1(P,Q,R)
% 0.20/0.66 | ap_contractE_c2(P,Q,R)
% 0.20/0.66 | ap_contractE_c3(P,Q,R)
% 0.20/0.66 | ap_contractE_c4(P,Q,R) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE2,axiom,
% 0.20/0.66 ( ~ ap_contractE_c1(P,Q,R)
% 0.20/0.66 | member(R,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE3,axiom,
% 0.20/0.66 ( ~ ap_contractE_c1(P,Q,R)
% 0.20/0.66 | member(Q,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE4,axiom,
% 0.20/0.66 ( ~ ap_contractE_c1(P,Q,R)
% 0.20/0.66 | P = comb_app(combK,R) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE5,axiom,
% 0.20/0.66 ( ~ ap_contractE_c2(P,Q,R)
% 0.20/0.66 | member(ap_contractE_sk1p(P,Q,R),comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE6,axiom,
% 0.20/0.66 ( ~ ap_contractE_c2(P,Q,R)
% 0.20/0.66 | member(ap_contractE_sk1q(P,Q,R),comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE7,axiom,
% 0.20/0.66 ( ~ ap_contractE_c2(P,Q,R)
% 0.20/0.66 | member(Q,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE8,axiom,
% 0.20/0.66 ( ~ ap_contractE_c2(P,Q,R)
% 0.20/0.66 | R = comb_app(comb_app(ap_contractE_sk1p(P,Q,R),Q),comb_app(ap_contractE_sk1q(P,Q,R),Q)) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE9,axiom,
% 0.20/0.66 ( ~ ap_contractE_c2(P,Q,R)
% 0.20/0.66 | P = comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R)) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE10,axiom,
% 0.20/0.66 ( ~ ap_contractE_c3(P,Q,R)
% 0.20/0.66 | member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE11,axiom,
% 0.20/0.66 ( ~ ap_contractE_c3(P,Q,R)
% 0.20/0.66 | member(Q,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE12,axiom,
% 0.20/0.66 ( ~ ap_contractE_c3(P,Q,R)
% 0.20/0.66 | R = comb_app(ap_contractE_sk2q(P,Q,R),Q) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE13,axiom,
% 0.20/0.66 ( ~ ap_contractE_c4(P,Q,R)
% 0.20/0.66 | member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE14,axiom,
% 0.20/0.66 ( ~ ap_contractE_c4(P,Q,R)
% 0.20/0.66 | member(P,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_contractE15,axiom,
% 0.20/0.66 ( ~ ap_contractE_c4(P,Q,R)
% 0.20/0.66 | R = comb_app(P,ap_contractE_sk3q(P,Q,R)) ) ).
% 0.20/0.66
% 0.20/0.66 %----add in K_contractE[elim!]:
% 0.20/0.66 cnf(k_contractE,axiom,
% 0.20/0.66 ~ member(pair(combK,R),contract) ).
% 0.20/0.66
% 0.20/0.66 %----add in S_contractE [elim!]:
% 0.20/0.66 %----converted by tptp2X(Ap_contractE+cls_otter.tptp)
% 0.20/0.66 cnf(s_contractE,axiom,
% 0.20/0.66 ~ member(pair(combS,R),contract) ).
% 0.20/0.66
% 0.20/0.66 %----second subgoal
% 0.20/0.66 %----local axioms: transD,trans_rtrancl,contract_combD2,reduction_rls
% 0.20/0.66 cnf(transD,axiom,
% 0.20/0.66 ( ~ trans(R)
% 0.20/0.66 | ~ member(pair(A,B),R)
% 0.20/0.66 | ~ member(pair(B,C),R)
% 0.20/0.66 | member(pair(A,C),R) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(trans_rtrancl,axiom,
% 0.20/0.66 trans(rtrancl(R)) ).
% 0.20/0.66
% 0.20/0.66 cnf(contract_combD2,axiom,
% 0.20/0.66 ( ~ member(pair(A,B),contract)
% 0.20/0.66 | member(B,comb) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(reduction_rls_1,axiom,
% 0.20/0.66 ( ~ member(B,comb)
% 0.20/0.66 | ~ member(Q3,comb)
% 0.20/0.66 | ~ member(pair(B,C),rtrancl(contract))
% 0.20/0.66 | member(pair(comb_app(comb_app(combK,B),Q3),C),rtrancl(contract)) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(reduction_rls_2,axiom,
% 0.20/0.66 ( ~ member(P3,comb)
% 0.20/0.66 | ~ member(Q3,comb)
% 0.20/0.66 | ~ member(R3,comb)
% 0.20/0.66 | ~ member(pair(comb_app(comb_app(P3,R3),comb_app(Q3,R3)),C),rtrancl(contract))
% 0.20/0.66 | member(pair(comb_app(comb_app(comb_app(combS,P3),Q3),R3),C),rtrancl(contract)) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(reduction_rls_3,axiom,
% 0.20/0.66 ( ~ member(pair(P3,Q3),contract)
% 0.20/0.66 | ~ member(R3,comb)
% 0.20/0.66 | ~ member(pair(comb_app(Q3,R3),C),rtrancl(contract))
% 0.20/0.66 | member(pair(comb_app(P3,R3),C),rtrancl(contract)) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(reduction_rls_4,axiom,
% 0.20/0.66 ( ~ member(pair(P3,Q3),contract)
% 0.20/0.66 | ~ member(R3,comb)
% 0.20/0.66 | ~ member(pair(comb_app(R3,Q3),C),rtrancl(contract))
% 0.20/0.66 | member(pair(comb_app(R3,P3),C),rtrancl(contract)) ) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_reduce1_2h1,hypothesis,
% 0.20/0.66 member(r,comb) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_reduce1_2h2,hypothesis,
% 0.20/0.66 member(p,comb) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_reduce1_2h3,hypothesis,
% 0.20/0.66 member(pair(p,y),rtrancl(contract)) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_reduce1_2h4,hypothesis,
% 0.20/0.66 member(pair(y,z),contract) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_reduce1_2h5,hypothesis,
% 0.20/0.66 member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)) ).
% 0.20/0.66
% 0.20/0.66 cnf(ap_reduce1_2c1,negated_conjecture,
% 0.20/0.66 ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)) ).
% 0.20/0.66
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % Proof found
% 0.20/0.66 % SZS status Theorem for theBenchmark
% 0.20/0.66 % SZS output start Proof
% 0.20/0.66 %ClaNum:78(EqnAxiom:35)
% 0.20/0.66 %VarNum:201(SingletonVarNum:93)
% 0.20/0.66 %MaxLitNum:5
% 0.20/0.66 %MaxfuncDepth:4
% 0.20/0.66 %SharedTerms:25
% 0.20/0.66 %goalClause: 49
% 0.20/0.66 %singleGoalClaCount:1
% 0.20/0.66 [37]P2(a2,a3)
% 0.20/0.66 [38]P2(a8,a3)
% 0.20/0.66 [39]P2(a9,a3)
% 0.20/0.66 [40]P2(a10,a3)
% 0.20/0.66 [44]~E(a8,a2)
% 0.20/0.66 [41]P2(f13(a14,a15),a11)
% 0.20/0.66 [42]P2(f13(a10,a14),f1(a11))
% 0.20/0.66 [43]P2(f13(f12(a10,a9),f12(a14,a9)),f1(a11))
% 0.20/0.66 [49]~P2(f13(f12(a10,a9),f12(a15,a9)),f1(a11))
% 0.20/0.66 [36]P1(f1(x361))
% 0.20/0.66 [47]~P2(f13(a2,x471),a11)
% 0.20/0.66 [48]~P2(f13(a8,x481),a11)
% 0.20/0.66 [45]~E(f12(x451,x452),a2)
% 0.20/0.66 [46]~E(f12(x461,x462),a8)
% 0.20/0.66 [52]~P2(x521,a3)+P2(f13(x521,x521),f1(a11))
% 0.20/0.66 [53]P2(x531,a3)+~P2(f12(x532,x531),a3)
% 0.20/0.66 [54]P2(x541,a3)+~P2(f13(x542,x541),a11)
% 0.20/0.66 [55]P2(x551,a3)+~P2(f12(x551,x552),a3)
% 0.20/0.66 [57]~P3(x572,x573,x571)+P2(x571,a3)
% 0.20/0.66 [58]~P3(x582,x581,x583)+P2(x581,a3)
% 0.20/0.66 [59]~P4(x592,x591,x593)+P2(x591,a3)
% 0.20/0.66 [60]~P5(x602,x601,x603)+P2(x601,a3)
% 0.20/0.66 [61]~P6(x611,x612,x613)+P2(x611,a3)
% 0.20/0.66 [62]~P3(x621,x623,x622)+E(x621,f12(a2,x622))
% 0.20/0.66 [64]~P4(x641,x642,x643)+P2(f4(x641,x642,x643),a3)
% 0.20/0.66 [65]~P4(x651,x652,x653)+P2(f5(x651,x652,x653),a3)
% 0.20/0.66 [66]~P6(x661,x662,x663)+E(f12(x661,f6(x661,x662,x663)),x663)
% 0.20/0.66 [67]~P5(x671,x672,x673)+E(f12(f7(x671,x672,x673),x672),x673)
% 0.20/0.66 [72]~P6(x722,x721,x723)+P2(f13(x721,f6(x722,x721,x723)),a11)
% 0.20/0.66 [73]~P5(x731,x732,x733)+P2(f13(x731,f7(x731,x732,x733)),a11)
% 0.20/0.66 [75]~P4(x751,x752,x753)+E(f12(f12(a8,f4(x751,x752,x753)),f5(x751,x752,x753)),x751)
% 0.20/0.66 [76]~P4(x761,x762,x763)+E(f12(f12(f4(x761,x762,x763),x762),f12(f5(x761,x762,x763),x762)),x763)
% 0.20/0.66 [50]E(x501,x502)+~E(f12(x503,x501),f12(x504,x502))
% 0.20/0.66 [51]E(x511,x512)+~E(f12(x511,x513),f12(x512,x514))
% 0.20/0.66 [56]~P2(x562,a3)+~P2(x561,a3)+P2(f12(x561,x562),a3)
% 0.20/0.66 [68]~P2(x682,a3)+~P2(x681,a3)+P2(f13(f12(f12(a2,x681),x682),x681),a11)
% 0.20/0.66 [69]~P2(x692,a3)+~P2(x691,a3)+~P2(f13(x691,x693),f1(a11))+P2(f13(f12(f12(a2,x691),x692),x693),f1(a11))
% 0.20/0.66 [77]~P2(x773,a3)+~P2(x772,a3)+~P2(x771,a3)+P2(f13(f12(f12(f12(a8,x771),x772),x773),f12(f12(x771,x773),f12(x772,x773))),a11)
% 0.20/0.66 [63]~P1(x633)+~P2(f13(x631,x634),x633)+P2(f13(x631,x632),x633)+~P2(f13(x634,x632),x633)
% 0.20/0.66 [70]~P2(x701,a3)+~P2(f13(x702,x704),a11)+~P2(f13(f12(x701,x704),x703),f1(a11))+P2(f13(f12(x701,x702),x703),f1(a11))
% 0.20/0.66 [71]~P2(x712,a3)+~P2(f13(x711,x714),a11)+~P2(f13(f12(x714,x712),x713),f1(a11))+P2(f13(f12(x711,x712),x713),f1(a11))
% 0.20/0.66 [74]P4(x741,x742,x743)+P5(x741,x742,x743)+P6(x741,x742,x743)+P3(x741,x742,x743)+~P2(f13(f12(x741,x742),x743),a11)
% 0.20/0.67 [78]~P2(x783,a3)+~P2(x782,a3)+~P2(x781,a3)+~P2(f13(f12(f12(x781,x783),f12(x782,x783)),x784),f1(a11))+P2(f13(f12(f12(f12(a8,x781),x782),x783),x784),f1(a11))
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.67 [5]~E(x51,x52)+E(f13(x51,x53),f13(x52,x53))
% 0.20/0.67 [6]~E(x61,x62)+E(f13(x63,x61),f13(x63,x62))
% 0.20/0.67 [7]~E(x71,x72)+E(f12(x71,x73),f12(x72,x73))
% 0.20/0.67 [8]~E(x81,x82)+E(f12(x83,x81),f12(x83,x82))
% 0.20/0.67 [9]~E(x91,x92)+E(f6(x91,x93,x94),f6(x92,x93,x94))
% 0.20/0.67 [10]~E(x101,x102)+E(f6(x103,x101,x104),f6(x103,x102,x104))
% 0.20/0.67 [11]~E(x111,x112)+E(f6(x113,x114,x111),f6(x113,x114,x112))
% 0.20/0.67 [12]~E(x121,x122)+E(f7(x121,x123,x124),f7(x122,x123,x124))
% 0.20/0.67 [13]~E(x131,x132)+E(f7(x133,x131,x134),f7(x133,x132,x134))
% 0.20/0.67 [14]~E(x141,x142)+E(f7(x143,x144,x141),f7(x143,x144,x142))
% 0.20/0.67 [15]~E(x151,x152)+E(f4(x151,x153,x154),f4(x152,x153,x154))
% 0.20/0.67 [16]~E(x161,x162)+E(f4(x163,x161,x164),f4(x163,x162,x164))
% 0.20/0.67 [17]~E(x171,x172)+E(f4(x173,x174,x171),f4(x173,x174,x172))
% 0.20/0.67 [18]~E(x181,x182)+E(f5(x181,x183,x184),f5(x182,x183,x184))
% 0.20/0.67 [19]~E(x191,x192)+E(f5(x193,x191,x194),f5(x193,x192,x194))
% 0.20/0.67 [20]~E(x201,x202)+E(f5(x203,x204,x201),f5(x203,x204,x202))
% 0.20/0.67 [21]~P1(x211)+P1(x212)+~E(x211,x212)
% 0.20/0.67 [22]P2(x222,x223)+~E(x221,x222)+~P2(x221,x223)
% 0.20/0.67 [23]P2(x233,x232)+~E(x231,x232)+~P2(x233,x231)
% 0.20/0.67 [24]P4(x242,x243,x244)+~E(x241,x242)+~P4(x241,x243,x244)
% 0.20/0.67 [25]P4(x253,x252,x254)+~E(x251,x252)+~P4(x253,x251,x254)
% 0.20/0.67 [26]P4(x263,x264,x262)+~E(x261,x262)+~P4(x263,x264,x261)
% 0.20/0.67 [27]P3(x272,x273,x274)+~E(x271,x272)+~P3(x271,x273,x274)
% 0.20/0.67 [28]P3(x283,x282,x284)+~E(x281,x282)+~P3(x283,x281,x284)
% 0.20/0.67 [29]P3(x293,x294,x292)+~E(x291,x292)+~P3(x293,x294,x291)
% 0.20/0.67 [30]P6(x302,x303,x304)+~E(x301,x302)+~P6(x301,x303,x304)
% 0.20/0.67 [31]P6(x313,x312,x314)+~E(x311,x312)+~P6(x313,x311,x314)
% 0.20/0.67 [32]P6(x323,x324,x322)+~E(x321,x322)+~P6(x323,x324,x321)
% 0.20/0.67 [33]P5(x332,x333,x334)+~E(x331,x332)+~P5(x331,x333,x334)
% 0.20/0.67 [34]P5(x343,x342,x344)+~E(x341,x342)+~P5(x343,x341,x344)
% 0.20/0.67 [35]P5(x353,x354,x352)+~E(x351,x352)+~P5(x353,x354,x351)
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(79,plain,
% 0.20/0.67 (P2(a15,a3)),
% 0.20/0.67 inference(scs_inference,[],[41,54])).
% 0.20/0.67 cnf(80,plain,
% 0.20/0.67 (~P5(a2,x801,x802)),
% 0.20/0.67 inference(scs_inference,[],[41,47,54,73])).
% 0.20/0.67 cnf(81,plain,
% 0.20/0.67 (~P2(f13(a2,x811),a11)),
% 0.20/0.67 inference(rename_variables,[],[47])).
% 0.20/0.67 cnf(83,plain,
% 0.20/0.67 (~P6(x831,a2,x832)),
% 0.20/0.67 inference(scs_inference,[],[41,47,81,54,73,72])).
% 0.20/0.67 cnf(84,plain,
% 0.20/0.67 (~P2(f13(a2,x841),a11)),
% 0.20/0.67 inference(rename_variables,[],[47])).
% 0.20/0.67 cnf(86,plain,
% 0.20/0.67 (~P5(x861,x862,a2)),
% 0.20/0.67 inference(scs_inference,[],[41,45,47,81,54,73,72,67])).
% 0.20/0.67 cnf(87,plain,
% 0.20/0.67 (~E(f12(x871,x872),a2)),
% 0.20/0.67 inference(rename_variables,[],[45])).
% 0.20/0.67 cnf(90,plain,
% 0.20/0.67 (~E(f12(x901,x902),a2)),
% 0.20/0.67 inference(rename_variables,[],[45])).
% 0.20/0.67 cnf(93,plain,
% 0.20/0.67 (~E(f12(x931,x932),a2)),
% 0.20/0.67 inference(rename_variables,[],[45])).
% 0.20/0.67 cnf(95,plain,
% 0.20/0.67 (~P4(x951,x952,a2)),
% 0.20/0.67 inference(scs_inference,[],[41,45,87,90,93,47,81,54,73,72,67,66,75,76])).
% 0.20/0.67 cnf(98,plain,
% 0.20/0.67 (~E(f13(a14,a15),f13(a2,x981))),
% 0.20/0.67 inference(scs_inference,[],[41,45,87,90,93,47,81,84,54,73,72,67,66,75,76,22])).
% 0.20/0.67 cnf(111,plain,
% 0.20/0.67 (P2(f13(f12(f12(a2,a2),a2),a2),a11)),
% 0.20/0.67 inference(scs_inference,[],[37,44,41,45,87,90,93,47,81,84,54,73,72,67,66,75,76,22,2,52,51,50,35,23,56,68])).
% 0.20/0.67 cnf(113,plain,
% 0.20/0.67 (~P2(f13(f12(a14,a9),f12(a15,a9)),f1(a11))),
% 0.20/0.67 inference(scs_inference,[],[49,37,44,41,43,36,45,87,90,93,47,81,84,54,73,72,67,66,75,76,22,2,52,51,50,35,23,56,68,63])).
% 0.20/0.67 cnf(116,plain,
% 0.20/0.67 (P2(f13(f12(f12(f12(a8,a2),a2),a2),f12(f12(a2,a2),f12(a2,a2))),a11)),
% 0.20/0.67 inference(scs_inference,[],[49,37,44,41,43,36,45,87,90,93,47,81,84,54,73,72,67,66,75,76,22,2,52,51,50,35,23,56,68,63,77])).
% 0.20/0.67 cnf(120,plain,
% 0.20/0.67 (~P3(f12(a8,x1201),x1202,x1203)),
% 0.20/0.67 inference(scs_inference,[],[49,37,40,44,41,42,43,36,45,87,90,93,47,81,84,54,73,72,67,66,75,76,22,2,52,51,50,35,23,56,68,63,77,69,62])).
% 0.20/0.67 cnf(145,plain,
% 0.20/0.67 (P3(f12(a2,a2),a2,a2)),
% 0.20/0.67 inference(scs_inference,[],[49,38,39,40,42,41,80,83,86,95,98,113,111,77,68,69,56,22,5,33,71,74])).
% 0.20/0.67 cnf(147,plain,
% 0.20/0.67 (~P2(f12(a15,a9),a3)),
% 0.20/0.67 inference(scs_inference,[],[49,38,39,40,42,41,80,83,86,95,98,113,111,77,68,69,56,22,5,33,71,74,52])).
% 0.20/0.67 cnf(178,plain,
% 0.20/0.67 ($false),
% 0.20/0.67 inference(scs_inference,[],[79,39,120,116,147,145,61,60,59,58,57,29,27,52,54,77,69,56]),
% 0.20/0.67 ['proof']).
% 0.20/0.67 % SZS output end Proof
% 0.20/0.67 % Total time :0.030000s
%------------------------------------------------------------------------------