TSTP Solution File: PUZ056-2.005 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 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 : Thu Aug 31 13:11:07 EDT 2023
% Result : Unsatisfiable 0.98s 1.09s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.18 % Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.10/0.19 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.38 % Computer : n027.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 22:43:50 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.98/1.08 %-------------------------------------------
% 0.98/1.08 % File :CSE---1.6
% 0.98/1.08 % Problem :theBenchmark
% 0.98/1.08 % Transform :cnf
% 0.98/1.08 % Format :tptp:raw
% 0.98/1.08 % Command :java -jar mcs_scs.jar %d %s
% 0.98/1.08
% 0.98/1.08 % Result :Theorem 0.440000s
% 0.98/1.08 % Output :CNFRefutation 0.440000s
% 0.98/1.08 %-------------------------------------------
% 0.98/1.09 %------------------------------------------------------------------------------
% 0.98/1.09 % File : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.98/1.09 % Domain : Puzzles
% 0.98/1.09 % Problem : Towers of Hanoi k=05
% 0.98/1.09 % Version : Especial.
% 0.98/1.09 % English : Each instance encodes Tower of Hanoi with n discs as a
% 0.98/1.09 % reachability problem.
% 0.98/1.09
% 0.98/1.09 % Refs : [NV07] Navarro (2007), Email to Geoff Sutcliffe
% 0.98/1.09 % Source : [NV07]
% 0.98/1.09 % Names : hanoi-k05 [NV07a]
% 0.98/1.09
% 0.98/1.09 % Status : Unsatisfiable
% 0.98/1.09 % Rating : 0.00 v3.5.0
% 0.98/1.09 % Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 15 RR)
% 0.98/1.09 % Number of literals : 41 ( 0 equ; 29 neg)
% 0.98/1.09 % Maximal clause size : 10 ( 2 avg)
% 0.98/1.09 % Maximal term depth : 1 ( 1 avg)
% 0.98/1.09 % Number of predicates : 2 ( 2 usr; 0 prp; 2-5 aty)
% 0.98/1.09 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.98/1.09 % Number of variables : 30 ( 2 sgn)
% 0.98/1.09 % SPC : CNF_UNS_EPR_NEQ_HRN
% 0.98/1.09
% 0.98/1.09 % Comments : k >= 13 not solved by any prover in less than 1 hr. (2007)
% 0.98/1.09 %------------------------------------------------------------------------------
% 0.98/1.09 cnf(rule1,axiom,
% 0.98/1.09 ( ~ p(I,T1,T2,T3,T4)
% 0.98/1.09 | p(J,T1,T2,T3,T4) ) ).
% 0.98/1.09
% 0.98/1.09 cnf(rule2,axiom,
% 0.98/1.09 ( ~ p(T0,I,T2,T3,T4)
% 0.98/1.09 | ~ neq(T0,I)
% 0.98/1.09 | ~ neq(T0,J)
% 0.98/1.09 | p(T0,J,T2,T3,T4) ) ).
% 0.98/1.09
% 0.98/1.09 cnf(rule3,axiom,
% 0.98/1.09 ( ~ p(T0,T1,I,T3,T4)
% 0.98/1.09 | ~ neq(T0,I)
% 0.98/1.09 | ~ neq(T0,J)
% 0.98/1.09 | ~ neq(T1,I)
% 0.98/1.09 | ~ neq(T1,J)
% 0.98/1.09 | p(T0,T1,J,T3,T4) ) ).
% 0.98/1.09
% 0.98/1.09 cnf(rule4,axiom,
% 0.98/1.09 ( ~ p(T0,T1,T2,I,T4)
% 0.98/1.09 | ~ neq(T0,I)
% 0.98/1.09 | ~ neq(T0,J)
% 0.98/1.09 | ~ neq(T1,I)
% 0.98/1.09 | ~ neq(T1,J)
% 0.98/1.09 | ~ neq(T2,I)
% 0.98/1.09 | ~ neq(T2,J)
% 0.98/1.09 | p(T0,T1,T2,J,T4) ) ).
% 0.98/1.09
% 0.98/1.09 cnf(rule5,axiom,
% 0.98/1.09 ( ~ p(T0,T1,T2,T3,I)
% 0.98/1.09 | ~ neq(T0,I)
% 0.98/1.09 | ~ neq(T0,J)
% 0.98/1.09 | ~ neq(T1,I)
% 0.98/1.09 | ~ neq(T1,J)
% 0.98/1.09 | ~ neq(T2,I)
% 0.98/1.09 | ~ neq(T2,J)
% 0.98/1.09 | ~ neq(T3,I)
% 0.98/1.09 | ~ neq(T3,J)
% 0.98/1.09 | p(T0,T1,T2,T3,J) ) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq1,axiom,
% 0.98/1.09 ~ neq(s0,s0) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq2,axiom,
% 0.98/1.09 neq(s0,s1) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq3,axiom,
% 0.98/1.09 neq(s0,s2) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq4,axiom,
% 0.98/1.09 neq(s1,s0) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq5,axiom,
% 0.98/1.09 ~ neq(s1,s1) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq6,axiom,
% 0.98/1.09 neq(s1,s2) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq7,axiom,
% 0.98/1.09 neq(s2,s0) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq8,axiom,
% 0.98/1.09 neq(s2,s1) ).
% 0.98/1.09
% 0.98/1.09 cnf(neq9,axiom,
% 0.98/1.09 ~ neq(s2,s2) ).
% 0.98/1.09
% 0.98/1.09 cnf(init,axiom,
% 0.98/1.09 p(s0,s0,s0,s0,s0) ).
% 0.98/1.09
% 0.98/1.09 cnf(goal,negated_conjecture,
% 0.98/1.09 ~ p(s2,s2,s2,s2,s2) ).
% 0.98/1.09
% 0.98/1.09 %------------------------------------------------------------------------------
% 0.98/1.09 %-------------------------------------------
% 0.98/1.09 % Proof found
% 0.98/1.09 % SZS status Theorem for theBenchmark
% 0.98/1.09 % SZS output start Proof
% 0.98/1.09 %ClaNum:16(EqnAxiom:0)
% 0.98/1.09 %VarNum:90(SingletonVarNum:30)
% 0.98/1.09 %MaxLitNum:10
% 0.98/1.09 %MaxfuncDepth:0
% 0.98/1.09 %SharedTerms:14
% 0.98/1.09 %goalClause: 11
% 0.98/1.09 %singleGoalClaCount:1
% 0.98/1.09 [1]P1(a1,a2)
% 0.98/1.09 [2]P1(a1,a3)
% 0.98/1.09 [3]P1(a2,a1)
% 0.98/1.09 [4]P1(a2,a3)
% 0.98/1.09 [5]P1(a3,a1)
% 0.98/1.09 [6]P1(a3,a2)
% 0.98/1.09 [7]P2(a1,a1,a1,a1,a1)
% 0.98/1.09 [8]~P1(a1,a1)
% 0.98/1.09 [9]~P1(a2,a2)
% 0.98/1.09 [10]~P1(a3,a3)
% 0.98/1.09 [11]~P2(a3,a3,a3,a3,a3)
% 0.98/1.09 [12]P2(x121,x122,x123,x124,x125)+~P2(x126,x122,x123,x124,x125)
% 0.98/1.09 [13]~P1(x131,x132)+~P2(x131,x136,x133,x134,x135)+P2(x131,x132,x133,x134,x135)+~P1(x131,x136)
% 0.98/1.09 [14]~P1(x142,x143)+~P1(x141,x143)+~P1(x141,x146)+~P2(x141,x142,x146,x144,x145)+P2(x141,x142,x143,x144,x145)+~P1(x142,x146)
% 0.98/1.09 [15]~P1(x153,x154)+~P1(x152,x154)+~P1(x152,x156)+~P1(x151,x154)+~P1(x151,x156)+~P2(x151,x152,x153,x156,x155)+P2(x151,x152,x153,x154,x155)+~P1(x153,x156)
% 0.98/1.09 [16]~P1(x164,x165)+~P1(x163,x165)+~P1(x163,x166)+~P1(x162,x165)+~P1(x162,x166)+~P1(x161,x165)+~P1(x161,x166)+~P2(x161,x162,x163,x164,x166)+P2(x161,x162,x163,x164,x165)+~P1(x164,x166)
% 0.98/1.09 %EqnAxiom
% 0.98/1.09
% 0.98/1.09 %-------------------------------------------
% 0.98/1.09 cnf(17,plain,
% 0.98/1.09 (~P2(x171,a3,a3,a3,a3)),
% 0.98/1.09 inference(scs_inference,[],[11,12])).
% 0.98/1.09 cnf(18,plain,
% 0.98/1.09 (~P2(a1,a2,a3,a3,a3)),
% 0.98/1.09 inference(scs_inference,[],[11,1,2,12,13])).
% 0.98/1.09 cnf(22,plain,
% 0.98/1.09 (P2(x221,a1,a1,a1,a1)),
% 0.98/1.09 inference(scs_inference,[],[7,12])).
% 0.98/1.09 cnf(28,plain,
% 0.98/1.09 (~P2(x281,a2,a3,a3,a3)),
% 0.98/1.09 inference(scs_inference,[],[18,12])).
% 0.98/1.09 cnf(33,plain,
% 0.98/1.09 (P2(a3,a2,a1,a1,a1)),
% 0.98/1.09 inference(scs_inference,[],[22,5,6,12,13])).
% 0.98/1.09 cnf(34,plain,
% 0.98/1.09 (P2(x341,a2,a1,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[33,12])).
% 0.98/1.10 cnf(36,plain,
% 0.98/1.10 (P2(a2,a2,a3,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[4,33,3,12,14])).
% 0.98/1.10 cnf(45,plain,
% 0.98/1.10 (~P2(x451,a1,a3,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[4,17,3,13,12])).
% 0.98/1.10 cnf(48,plain,
% 0.98/1.10 (P2(x481,a2,a3,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[36,12])).
% 0.98/1.10 cnf(56,plain,
% 0.98/1.10 (P2(a1,a3,a1,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[34,2,1,12,13])).
% 0.98/1.10 cnf(60,plain,
% 0.98/1.10 (~P2(x601,a2,a1,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[28,3,4,14,12])).
% 0.98/1.10 cnf(65,plain,
% 0.98/1.10 (~P2(a1,a1,a2,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[45,2,1,14])).
% 0.98/1.10 cnf(68,plain,
% 0.98/1.10 (P2(x681,a3,a1,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[56,45,2,1,14,12])).
% 0.98/1.10 cnf(70,plain,
% 0.98/1.10 (P2(a3,a1,a3,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[56,48,45,2,1,6,5,14,12,13])).
% 0.98/1.10 cnf(74,plain,
% 0.98/1.10 (P2(a3,a3,a2,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[68,6,5,14])).
% 0.98/1.10 cnf(77,plain,
% 0.98/1.10 (~P2(x771,a1,a2,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[68,65,6,5,14,12])).
% 0.98/1.10 cnf(83,plain,
% 0.98/1.10 (P2(x831,a1,a3,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[70,12])).
% 0.98/1.10 cnf(85,plain,
% 0.98/1.10 (~P2(a3,a2,a2,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[70,77,6,5,12,13])).
% 0.98/1.10 cnf(88,plain,
% 0.98/1.10 (~P2(x881,a2,a2,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[85,12])).
% 0.98/1.10 cnf(93,plain,
% 0.98/1.10 (P2(x931,a3,a2,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[74,12])).
% 0.98/1.10 cnf(95,plain,
% 0.98/1.10 (P2(a2,a3,a3,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[83,74,4,3,12,13])).
% 0.98/1.10 cnf(103,plain,
% 0.98/1.10 (P2(x1031,a3,a3,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[95,12])).
% 0.98/1.10 cnf(109,plain,
% 0.98/1.10 (~P2(x1091,a3,a1,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[60,2,1,13,12])).
% 0.98/1.10 cnf(115,plain,
% 0.98/1.10 (P2(x1151,a1,a2,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[83,1,2,14,12])).
% 0.98/1.10 cnf(120,plain,
% 0.98/1.10 (P2(a1,a2,a2,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[103,93,83,1,6,5,2,14,12,16,13])).
% 0.98/1.10 cnf(123,plain,
% 0.98/1.10 (P2(a3,a2,a2,a1,a1)),
% 0.98/1.10 inference(scs_inference,[],[115,6,5,12,13])).
% 0.98/1.10 cnf(128,plain,
% 0.98/1.10 (P2(a2,a2,a2,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[120,4,3,12,15])).
% 0.98/1.10 cnf(131,plain,
% 0.98/1.10 (~P2(a2,a1,a1,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[123,109,3,4,12,13])).
% 0.98/1.10 cnf(135,plain,
% 0.98/1.10 (~P2(x1351,a1,a1,a3,a3)),
% 0.98/1.10 inference(scs_inference,[],[131,12])).
% 0.98/1.10 cnf(138,plain,
% 0.98/1.10 (P2(x1381,a2,a2,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[128,12])).
% 0.98/1.10 cnf(147,plain,
% 0.98/1.10 (P2(a3,a1,a2,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[138,6,5,13])).
% 0.98/1.10 cnf(150,plain,
% 0.98/1.10 (~P2(a1,a1,a1,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[135,1,2,15])).
% 0.98/1.10 cnf(153,plain,
% 0.98/1.10 (P2(x1531,a1,a2,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[147,135,1,2,15,12])).
% 0.98/1.10 cnf(155,plain,
% 0.98/1.10 (~P2(x1551,a1,a1,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[150,12])).
% 0.98/1.10 cnf(163,plain,
% 0.98/1.10 (~P2(x1631,a1,a1,a2,a3)),
% 0.98/1.10 inference(rename_variables,[],[155])).
% 0.98/1.10 cnf(168,plain,
% 0.98/1.10 (~P2(x1681,a2,a1,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[155,163,1,6,5,13,14,12])).
% 0.98/1.10 cnf(184,plain,
% 0.98/1.10 (P2(a1,a3,a2,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[168,138,2,1,3,4,14,13])).
% 0.98/1.10 cnf(189,plain,
% 0.98/1.10 (P2(x1891,a3,a2,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[184,12])).
% 0.98/1.10 cnf(196,plain,
% 0.98/1.10 (P2(x1961,a1,a3,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[153,2,1,14,12])).
% 0.98/1.10 cnf(198,plain,
% 0.98/1.10 (~P2(a1,a3,a1,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[153,168,2,1,14,12,13])).
% 0.98/1.10 cnf(201,plain,
% 0.98/1.10 (~P2(x2011,a3,a1,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[198,12])).
% 0.98/1.10 cnf(212,plain,
% 0.98/1.10 (P2(x2121,a3,a3,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[196,3,4,13,12])).
% 0.98/1.10 cnf(216,plain,
% 0.98/1.10 (P2(a3,a3,a1,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[189,6,5,14])).
% 0.98/1.10 cnf(226,plain,
% 0.98/1.10 (~P2(x2261,a2,a2,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[4,3,88,15,12])).
% 0.98/1.10 cnf(233,plain,
% 0.98/1.10 (~P2(a1,a3,a2,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[226,1,2,13])).
% 0.98/1.10 cnf(236,plain,
% 0.98/1.10 (P2(x2361,a3,a1,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[216,226,1,2,13,12])).
% 0.98/1.10 cnf(241,plain,
% 0.98/1.10 (~P2(a3,a3,a2,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[216,226,201,1,2,45,6,5,13,12,15,14])).
% 0.98/1.10 cnf(244,plain,
% 0.98/1.10 (~P2(x2441,a3,a2,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[241,12])).
% 0.98/1.10 cnf(249,plain,
% 0.98/1.10 (~P2(a1,a2,a2,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[241,212,1,2,6,12,15,13])).
% 0.98/1.10 cnf(256,plain,
% 0.98/1.10 (P2(a2,a1,a1,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[236,3,4,13])).
% 0.98/1.10 cnf(259,plain,
% 0.98/1.10 (~P2(x2591,a2,a2,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[249,236,3,4,13,12])).
% 0.98/1.10 cnf(264,plain,
% 0.98/1.10 (~P2(a2,a1,a2,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[244,3,4,13])).
% 0.98/1.10 cnf(267,plain,
% 0.98/1.10 (P2(x2671,a1,a1,a3,a1)),
% 0.98/1.10 inference(scs_inference,[],[256,244,3,4,13,12])).
% 0.98/1.10 cnf(269,plain,
% 0.98/1.10 (~P2(x2691,a1,a2,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[264,12])).
% 0.98/1.10 cnf(282,plain,
% 0.98/1.10 (P2(x2821,a3,a3,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[212,196,6,5,16,13,12])).
% 0.98/1.10 cnf(292,plain,
% 0.98/1.10 (~P2(x2921,a3,a2,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[233,12])).
% 0.98/1.10 cnf(300,plain,
% 0.98/1.10 (~P2(a1,a1,a3,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[259,269,1,3,4,2,16,14])).
% 0.98/1.10 cnf(303,plain,
% 0.98/1.10 (~P2(x3031,a2,a2,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[259,269,1,3,4,2,16,14,12])).
% 0.98/1.10 cnf(313,plain,
% 0.98/1.10 (P2(a1,a2,a3,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[282,1,2,13])).
% 0.98/1.10 cnf(316,plain,
% 0.98/1.10 (~P2(x3161,a1,a3,a2,a3)),
% 0.98/1.10 inference(scs_inference,[],[300,282,1,2,13,12])).
% 0.98/1.10 cnf(319,plain,
% 0.98/1.10 (P2(x3191,a2,a3,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[313,12])).
% 0.98/1.10 cnf(327,plain,
% 0.98/1.10 (~P2(a3,a3,a1,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[292,6,5,12,14])).
% 0.98/1.10 cnf(328,plain,
% 0.98/1.10 (~P2(a3,a1,a2,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[303,5,6,13])).
% 0.98/1.10 cnf(331,plain,
% 0.98/1.10 (~P2(x3311,a3,a1,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[303,327,5,6,13,12])).
% 0.98/1.10 cnf(340,plain,
% 0.98/1.10 (P2(a2,a2,a1,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[319,3,4,14])).
% 0.98/1.10 cnf(343,plain,
% 0.98/1.10 (~P2(a1,a2,a1,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[319,331,3,1,2,4,14,13])).
% 0.98/1.10 cnf(349,plain,
% 0.98/1.10 (~P2(x3491,a1,a2,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[328,12])).
% 0.98/1.10 cnf(355,plain,
% 0.98/1.10 (P2(x3551,a2,a1,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[340,12])).
% 0.98/1.10 cnf(362,plain,
% 0.98/1.10 (~P2(x3621,a2,a1,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[343,12])).
% 0.98/1.10 cnf(370,plain,
% 0.98/1.10 (P2(a3,a1,a1,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[355,5,6,12,13])).
% 0.98/1.10 cnf(371,plain,
% 0.98/1.10 (P2(x3711,a1,a1,a3,a2)),
% 0.98/1.10 inference(scs_inference,[],[370,12])).
% 0.98/1.10 cnf(377,plain,
% 0.98/1.10 (~P2(x3771,a3,a2,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[303,1,2,13,12])).
% 0.98/1.10 cnf(383,plain,
% 0.98/1.10 (~P2(a2,a2,a3,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[316,362,6,5,3,4,13,14])).
% 0.98/1.10 cnf(388,plain,
% 0.98/1.10 (P2(a1,a1,a1,a2,a2)),
% 0.98/1.10 inference(scs_inference,[],[371,1,2,12,15])).
% 0.98/1.10 cnf(392,plain,
% 0.98/1.10 (P2(x3921,a1,a1,a2,a2)),
% 0.98/1.10 inference(scs_inference,[],[371,388,3,4,13,12])).
% 0.98/1.10 cnf(398,plain,
% 0.98/1.10 (P2(a3,a2,a1,a2,a2)),
% 0.98/1.10 inference(scs_inference,[],[392,6,5,13])).
% 0.98/1.10 cnf(401,plain,
% 0.98/1.10 (~P2(x4011,a2,a3,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[383,392,6,5,13,12])).
% 0.98/1.10 cnf(421,plain,
% 0.98/1.10 (~P2(a3,a1,a3,a1,a3)),
% 0.98/1.10 inference(scs_inference,[],[401,398,103,5,6,1,12,16,13])).
% 0.98/1.10 cnf(425,plain,
% 0.98/1.10 (P2(x4251,a1,a1,a2,a2)),
% 0.98/1.10 inference(rename_variables,[],[392])).
% 0.98/1.10 cnf(430,plain,
% 0.98/1.10 (P2(a2,a3,a1,a2,a2)),
% 0.98/1.10 inference(scs_inference,[],[392,425,421,155,4,3,1,2,16,12,13])).
% 0.98/1.10 cnf(434,plain,
% 0.98/1.10 (P2(x4341,a3,a1,a2,a2)),
% 0.98/1.10 inference(scs_inference,[],[430,12])).
% 0.98/1.10 cnf(437,plain,
% 0.98/1.10 (P2(a3,a3,a2,a2,a2)),
% 0.98/1.10 inference(scs_inference,[],[434,5,6,14])).
% 0.98/1.10 cnf(452,plain,
% 0.98/1.10 (~P2(a3,a3,a1,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[377,437,349,153,5,4,6,2,1,15,12,14])).
% 0.98/1.10 cnf(458,plain,
% 0.98/1.10 (~P2(x4581,a3,a1,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[452,12])).
% 0.98/1.10 cnf(467,plain,
% 0.98/1.10 (~P2(x4671,a1,a1,a2,a1)),
% 0.98/1.10 inference(scs_inference,[],[458,3,4,13,12])).
% 0.98/1.10 cnf(595,plain,
% 0.98/1.10 ($false),
% 0.98/1.10 inference(scs_inference,[],[267,467,2,1,15]),
% 0.98/1.10 ['proof']).
% 0.98/1.10 % SZS output end Proof
% 0.98/1.10 % Total time :0.440000s
%------------------------------------------------------------------------------