TSTP Solution File: COL121-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL121-2 : 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 : n001.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 18:21:52 EDT 2023
% Result : Unsatisfiable 266.94s 266.89s
% Output : CNFRefutation 267.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n001.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 : Sun Aug 27 05:54:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 266.94/266.87 %-------------------------------------------
% 266.94/266.87 % File :CSE---1.6
% 266.94/266.87 % Problem :theBenchmark
% 266.94/266.87 % Transform :cnf
% 266.94/266.87 % Format :tptp:raw
% 266.94/266.87 % Command :java -jar mcs_scs.jar %d %s
% 266.94/266.87
% 266.94/266.87 % Result :Theorem 266.270000s
% 266.94/266.87 % Output :CNFRefutation 266.270000s
% 266.94/266.87 %-------------------------------------------
% 266.94/266.89 %------------------------------------------------------------------------------
% 266.94/266.89 % File : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 266.94/266.89 % Domain : Combinatory Logic
% 266.94/266.89 % Problem : Problem about combinators
% 266.94/266.89 % Version : [Pau06] axioms : Reduced > Especial.
% 266.94/266.89 % English :
% 266.94/266.89
% 266.94/266.89 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 266.94/266.89 % Source : [Pau06]
% 266.94/266.89 % Names :
% 266.94/266.89
% 266.94/266.89 % Status : Unsatisfiable
% 266.94/266.89 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v3.2.0
% 266.94/266.89 % Syntax : Number of clauses : 10 ( 3 unt; 0 nHn; 10 RR)
% 266.94/266.89 % Number of literals : 22 ( 0 equ; 13 neg)
% 266.94/266.89 % Maximal clause size : 4 ( 2 avg)
% 266.94/266.89 % Maximal term depth : 3 ( 1 avg)
% 266.94/266.89 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 266.94/266.89 % Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% 266.94/266.89 % Number of variables : 21 ( 0 sgn)
% 266.94/266.89 % SPC : CNF_UNS_RFO_NEQ_HRN
% 266.94/266.89
% 266.94/266.89 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 266.94/266.89 % of which only a small selection are required for the refutation.
% 266.94/266.89 % The mission is to find those few axioms, after which a refutation
% 266.94/266.89 % can be quite easily found. This version has only the necessary
% 266.94/266.89 % axioms.
% 266.94/266.89 %------------------------------------------------------------------------------
% 266.94/266.89 cnf(cls_Comb_Odiamond__strip__lemmaE_0,axiom,
% 266.94/266.89 ( ~ c_Comb_Odiamond(V_r,T_a)
% 266.94/266.89 | ~ c_in(c_Pair(V_x,V_y_H,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 266.94/266.89 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 266.94/266.89 | c_in(c_Pair(V_y_H,c_Comb_Odiamond__strip__lemmaE__1(V_r,V_y,V_y_H,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_Comb_Odiamond__strip__lemmaE_1,axiom,
% 266.94/266.89 ( ~ c_Comb_Odiamond(V_r,T_a)
% 266.94/266.89 | ~ c_in(c_Pair(V_x,V_y_H,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 266.94/266.89 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 266.94/266.89 | c_in(c_Pair(V_y,c_Comb_Odiamond__strip__lemmaE__1(V_r,V_y,V_y_H,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
% 266.94/266.89 ( ~ c_in(V_p,V_r,tc_prod(T_a,T_a))
% 266.94/266.89 | c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_Transitive__Closure_Ortrancl__trans_0,axiom,
% 266.94/266.89 ( ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 266.94/266.89 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 266.94/266.89 | c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_conjecture_0,negated_conjecture,
% 266.94/266.89 c_Comb_Odiamond(v_r,t_a) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_conjecture_2,negated_conjecture,
% 266.94/266.89 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_conjecture_3,negated_conjecture,
% 266.94/266.89 c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_conjecture_4,negated_conjecture,
% 266.94/266.89 ( c_in(c_Pair(v_ya,v_x(V_U),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
% 266.94/266.89 | ~ c_in(c_Pair(v_y,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_conjecture_5,negated_conjecture,
% 266.94/266.89 ( c_in(c_Pair(V_U,v_x(V_U),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
% 266.94/266.89 | ~ c_in(c_Pair(v_y,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ).
% 266.94/266.89
% 266.94/266.89 cnf(cls_conjecture_6,negated_conjecture,
% 266.94/266.89 ( ~ c_in(c_Pair(v_xaa,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
% 266.94/266.89 | ~ c_in(c_Pair(v_z,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ).
% 266.94/266.89
% 266.94/266.89 %------------------------------------------------------------------------------
% 266.94/266.89 %-------------------------------------------
% 266.94/266.89 % Proof found
% 266.94/266.89 % SZS status Theorem for theBenchmark
% 266.94/266.89 % SZS output start Proof
% 266.94/266.91 %ClaNum:10(EqnAxiom:0)
% 266.94/266.91 %VarNum:95(SingletonVarNum:21)
% 266.94/266.91 %MaxLitNum:4
% 266.94/266.91 %MaxfuncDepth:2
% 266.94/266.91 %SharedTerms:13
% 266.94/266.91 %goalClause: 1 2 3 5 6 7
% 266.94/266.91 %singleGoalClaCount:3
% 266.94/266.91 [1]P1(a1,a2)
% 266.94/266.91 [2]P2(f3(a7,a11,a2,a2),a1,f6(a2,a2))
% 266.94/266.91 [3]P2(f3(a8,a9,a2,a2),f5(a1,a2),f6(a2,a2))
% 266.94/266.91 [7]~P2(f3(a9,x71,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(a11,x71,a2,a2),f5(a1,a2),f6(a2,a2))
% 266.94/266.91 [5]~P2(f3(a8,x51,a2,a2),f5(a1,a2),f6(a2,a2))+P2(f3(a7,f10(x51),a2,a2),f5(a1,a2),f6(a2,a2))
% 266.94/266.91 [6]~P2(f3(a8,x61,a2,a2),f5(a1,a2),f6(a2,a2))+P2(f3(x61,f10(x61),a2,a2),f5(a1,a2),f6(a2,a2))
% 266.94/266.91 [4]~P2(x41,x42,f6(x43,x43))+P2(x41,f5(x42,x43),f6(x43,x43))
% 266.94/266.91 [8]P2(f3(x81,x82,x83,x83),f5(x84,x83),f6(x83,x83))+~P2(f3(x85,x82,x83,x83),f5(x84,x83),f6(x83,x83))+~P2(f3(x81,x85,x83,x83),f5(x84,x83),f6(x83,x83))
% 266.94/266.91 [9]~P1(x92,x94)+~P2(f3(x95,x91,x94,x94),f5(x92,x94),f6(x94,x94))+~P2(f3(x95,x93,x94,x94),x92,f6(x94,x94))+P2(f3(x91,f4(x92,x91,x93,x94),x94,x94),x92,f6(x94,x94))
% 266.94/266.91 [10]~P1(x102,x104)+~P2(f3(x105,x103,x104,x104),f5(x102,x104),f6(x104,x104))+~P2(f3(x105,x101,x104,x104),x102,f6(x104,x104))+P2(f3(x101,f4(x102,x103,x101,x104),x104,x104),f5(x102,x104),f6(x104,x104))
% 266.94/266.91 %EqnAxiom
% 266.94/266.91
% 266.94/266.91 %-------------------------------------------
% 266.94/266.94 cnf(11,plain,
% 266.94/266.94 (P2(f3(a7,f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[3,5])).
% 266.94/266.94 cnf(12,plain,
% 266.94/266.94 (P2(f3(a9,f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[3,5,6])).
% 266.94/266.94 cnf(13,plain,
% 266.94/266.94 (P2(f3(a7,a11,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[2,3,5,6,4])).
% 266.94/266.94 cnf(15,plain,
% 266.94/266.94 (P2(f3(a8,f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[2,3,5,6,4,8])).
% 266.94/266.94 cnf(19,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,a11,a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[1,2,3,5,6,4,8,9,10])).
% 266.94/266.94 cnf(21,plain,
% 266.94/266.94 (~P2(f3(a11,f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[1,2,3,5,6,4,8,9,10,7])).
% 266.94/266.94 cnf(23,plain,
% 266.94/266.94 (~P2(f3(a9,f4(a1,a11,a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[19,7])).
% 266.94/266.94 cnf(27,plain,
% 266.94/266.94 (~P2(f3(a9,a11,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[21,19,7,4,8])).
% 266.94/266.94 cnf(31,plain,
% 266.94/266.94 (~P2(f3(f10(a9),a11,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[11,27,12,4,8])).
% 266.94/266.94 cnf(35,plain,
% 266.94/266.94 (P2(f3(a7,f4(a1,a11,a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[13,31,19,4,8])).
% 266.94/266.94 cnf(37,plain,
% 266.94/266.94 (P2(f3(a8,a9,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[3,4])).
% 266.94/266.94 cnf(43,plain,
% 266.94/266.94 (~P2(f3(f10(a9),f4(a1,a11,a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[12,23,4,8])).
% 266.94/266.94 cnf(45,plain,
% 266.94/266.94 (P2(f3(a7,a11,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[13,4])).
% 266.94/266.94 cnf(51,plain,
% 266.94/266.94 (~P2(f3(a11,a9,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[12,43,21,4,8])).
% 266.94/266.94 cnf(53,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,a11,a11,a2),a2,a2),a1,f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[13,1,2,9])).
% 266.94/266.94 cnf(55,plain,
% 266.94/266.94 (P2(f3(a9,f10(a9),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[12,13,1,2,9,4])).
% 266.94/266.94 cnf(57,plain,
% 266.94/266.94 (~P2(f3(f4(a1,a11,a11,a2),a9,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[12,13,51,1,2,19,9,4,8])).
% 266.94/266.94 cnf(61,plain,
% 266.94/266.94 (P2(f3(a8,f10(a9),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[55,37,57,4,8])).
% 266.94/266.94 cnf(63,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,a11,a11,a2),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[19,4])).
% 266.94/266.94 cnf(65,plain,
% 266.94/266.94 (~P2(f3(f10(a9),a7,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[13,19,31,4,8])).
% 266.94/266.94 cnf(73,plain,
% 266.94/266.94 (~P2(f3(f4(a1,a11,a11,a2),f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[21,19,35,4,8])).
% 266.94/266.94 cnf(90,plain,
% 266.94/266.94 (P2(f3(a11,x901,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+~P2(f3(f4(a1,a11,a11,a2),x901,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[63,8])).
% 266.94/266.94 cnf(104,plain,
% 266.94/266.94 (~P2(f3(f10(a9),x1041,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(x1041,a7,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[65,8])).
% 266.94/266.94 cnf(125,plain,
% 266.94/266.94 (~P2(f3(f10(f10(a9)),a7,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[15,104,6])).
% 266.94/266.94 cnf(126,plain,
% 266.94/266.94 (P2(f3(a8,x1261,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+~P2(f3(f10(a9),x1261,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[61,8])).
% 266.94/266.94 cnf(139,plain,
% 266.94/266.94 (P2(f3(a9,x1391,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+~P2(f3(f10(a9),x1391,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[55,8])).
% 266.94/266.94 cnf(154,plain,
% 266.94/266.94 (P2(f3(a7,x1541,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(a9),x1541,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[11,8])).
% 266.94/266.94 cnf(156,plain,
% 266.94/266.94 (P2(f3(a7,f10(f10(a9)),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[15,154,6])).
% 266.94/266.94 cnf(166,plain,
% 266.94/266.94 (P2(f3(a8,x1661,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(a9),x1661,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[73,15,4,8])).
% 266.94/266.94 cnf(168,plain,
% 266.94/266.94 (P2(f3(a8,f10(f10(a9)),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[15,166,6])).
% 266.94/266.94 cnf(193,plain,
% 266.94/266.94 (P2(f3(f10(a9),f10(f10(a9)),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[15,4,6])).
% 266.94/266.94 cnf(199,plain,
% 266.94/266.94 (P2(f3(f4(a1,a11,a11,a2),f4(a1,f4(a1,a11,a11,a2),f4(a1,a11,a11,a2),a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[53,1,19,4,9])).
% 266.94/266.94 cnf(210,plain,
% 266.94/266.94 (P2(f3(f4(a1,a11,a11,a2),f4(a1,f4(a1,a11,a11,a2),a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[1,35,2,4,9])).
% 266.94/266.94 cnf(212,plain,
% 266.94/266.94 (~P2(f3(f4(a1,a11,a11,a2),x2121,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+P2(f3(a11,x2121,a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[4,90])).
% 266.94/266.94 cnf(216,plain,
% 266.94/266.94 (P2(f3(f10(a9),f4(a1,f10(a9),a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[1,11,2,4,9])).
% 266.94/266.94 cnf(222,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,f10(a9),a11,a2),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[11,2,1,4,10])).
% 266.94/266.94 cnf(237,plain,
% 266.94/266.94 (~P2(f3(f10(a9),x2371,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+P2(f3(a8,x2371,a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[4,126])).
% 266.94/266.94 cnf(245,plain,
% 266.94/266.94 (~P2(f3(f10(a9),x2451,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+P2(f3(a9,x2451,a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[4,139])).
% 266.94/266.94 cnf(247,plain,
% 266.94/266.94 (P2(f3(a7,f4(a1,a11,a11,a2),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[45,63,4,8])).
% 266.94/266.94 cnf(257,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,f4(a1,a11,a11,a2),a11,a2),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[1,35,2,4,10])).
% 266.94/266.94 cnf(267,plain,
% 266.94/266.94 (P2(f3(a8,f10(a9),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[55,37,4,8])).
% 266.94/266.94 cnf(7201,plain,
% 266.94/266.94 (P2(f3(a7,x72011,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))+~P2(f3(a11,x72011,a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[45,8])).
% 266.94/266.94 cnf(16814,plain,
% 266.94/266.94 (P2(f3(a7,f4(a1,f10(a9),a11,a2),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[222,7201])).
% 266.94/266.94 cnf(16823,plain,
% 266.94/266.94 (P2(f3(f10(a9),f10(f10(a9)),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[193,257,7201,4])).
% 266.94/266.94 cnf(16830,plain,
% 266.94/266.94 (P2(f3(a8,f10(f10(a9)),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[247,267,16823,4,8])).
% 266.94/266.94 cnf(16847,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,f4(a1,a11,a11,a2),f4(a1,a11,a11,a2),a2),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[199,4,212])).
% 266.94/266.94 cnf(16848,plain,
% 266.94/266.94 (P2(f3(a7,f4(a1,f10(a9),a11,a2),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16814,4])).
% 266.94/266.94 cnf(16850,plain,
% 266.94/266.94 (~P2(f3(f4(a1,f4(a1,a11,a11,a2),f4(a1,a11,a11,a2),a2),f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16814,199,73,4,8])).
% 266.94/266.94 cnf(16855,plain,
% 266.94/266.94 (~P2(f3(f4(a1,f10(a9),a11,a2),f4(a1,a11,a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16848,216,43,4,8])).
% 266.94/266.94 cnf(16857,plain,
% 266.94/266.94 (P2(f3(a8,f4(a1,f10(a9),a11,a2),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[216,4,237])).
% 266.94/266.94 cnf(16862,plain,
% 266.94/266.94 (P2(f3(a9,f4(a1,f10(a9),a11,a2),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[216,4,245])).
% 266.94/266.94 cnf(16865,plain,
% 266.94/266.94 (P2(f3(a8,f4(a1,f10(a9),a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16857,216,15,4,8])).
% 266.94/266.94 cnf(16870,plain,
% 266.94/266.94 (P2(f3(a7,f4(a1,f4(a1,a11,a11,a2),a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16830,210,35,4,8])).
% 266.94/266.94 cnf(16875,plain,
% 266.94/266.94 (P2(f3(a7,f4(a1,f10(a9),a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16847,216,11,4,8])).
% 266.94/266.94 cnf(16880,plain,
% 266.94/266.94 (P2(f3(a9,f10(f10(a9)),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16862,193,55,4,8])).
% 266.94/266.94 cnf(16882,plain,
% 266.94/266.94 (P2(f3(a11,f4(a1,f4(a1,a11,a11,a2),a11,a2),a2,a2),f5(f5(f5(a1,a2),a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[210,4,212])).
% 266.94/266.94 cnf(16885,plain,
% 266.94/266.94 (P2(f3(a8,x168851,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f4(a1,f10(a9),a11,a2),x168851,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16865,16882,4,8])).
% 266.94/266.94 cnf(16888,plain,
% 266.94/266.94 (P2(f3(a8,f10(f4(a1,f10(a9),a11,a2)),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16865,16885,6])).
% 266.94/266.94 cnf(16889,plain,
% 266.94/266.94 (P2(f3(a8,f10(f4(a1,f10(a9),a11,a2)),a2,a2),f5(f5(a1,a2),a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16888,4])).
% 266.94/266.94 cnf(16891,plain,
% 266.94/266.94 (P2(f3(a8,x168911,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(f4(a1,f10(a9),a11,a2)),x168911,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16888,4,8])).
% 266.94/266.94 cnf(16901,plain,
% 266.94/266.94 (P2(f3(a8,x169011,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(f10(a9)),x169011,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[168,16889,4,8])).
% 266.94/266.94 cnf(16906,plain,
% 266.94/266.94 (P2(f3(a7,x169061,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(f10(a9)),x169061,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[156,16880,4,8])).
% 266.94/266.94 cnf(16928,plain,
% 266.94/266.94 (P2(f3(a7,x169281,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f4(a1,f10(a9),a11,a2),x169281,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16875,16823,4,8])).
% 266.94/266.94 cnf(16975,plain,
% 266.94/266.94 (P2(f3(a8,f10(f10(f10(a9))),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[168,16901,6])).
% 266.94/266.94 cnf(16978,plain,
% 266.94/266.94 (P2(f3(a8,x169781,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(f10(f10(a9))),x169781,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16975,4,8])).
% 266.94/266.94 cnf(17055,plain,
% 266.94/266.94 (P2(f3(a7,f10(f10(f10(a9))),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[168,16906,6])).
% 266.94/266.94 cnf(17130,plain,
% 266.94/266.94 (P2(f3(a8,f10(f10(f10(f10(a9)))),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16975,16978,6])).
% 266.94/266.94 cnf(17316,plain,
% 266.94/266.94 (P2(f3(a7,f10(f4(a1,f10(a9),a11,a2)),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16865,16928,6])).
% 266.94/266.94 cnf(17319,plain,
% 266.94/266.94 (P2(f3(a7,x173191,a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(f10(f4(a1,f10(a9),a11,a2)),x173191,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[17316,4,8])).
% 266.94/266.94 cnf(17336,plain,
% 266.94/266.94 (P2(f3(a8,f10(f10(f4(a1,f10(a9),a11,a2))),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16888,16891,6])).
% 266.94/266.94 cnf(17363,plain,
% 266.94/266.94 (P2(f3(a9,f4(a1,f10(a9),a11,a2),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[12,216,8])).
% 266.94/266.94 cnf(17373,plain,
% 266.94/266.94 (P2(f3(a7,f10(f10(f4(a1,f10(a9),a11,a2))),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[16888,17319,6])).
% 266.94/266.94 cnf(17376,plain,
% 266.94/266.94 (~P2(f3(f4(a1,f4(a1,a11,a11,a2),f4(a1,a11,a11,a2),a2),a9,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[57,17373,199,4,8])).
% 266.94/266.94 cnf(17410,plain,
% 266.94/266.94 (~P2(f3(f4(a1,f4(a1,a11,a11,a2),a11,a2),f10(a9),a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(scs_inference,[],[73,210,8])).
% 266.94/266.94 cnf(19739,plain,
% 266.94/266.94 (P2(f3(x197391,f4(x197392,x197393,x197391,x197394),x197394,x197394),f5(x197392,x197394),f6(x197394,x197394))+~P1(x197392,x197394)+~P2(f3(x197395,x197393,x197394,x197394),f5(x197392,x197394),f6(x197394,x197394))+~P2(f3(x197395,x197391,x197394,x197394),x197392,f6(x197394,x197394))),
% 266.94/266.94 inference(rename_variables,[],[10])).
% 266.94/266.94 cnf(19741,plain,
% 266.94/266.94 (~P1(x197411,x197412)+~P2(f3(x197413,x197414,x197412,x197412),x197411,f6(x197412,x197412))+~P2(f3(x197413,x197415,x197412,x197412),f5(x197411,x197412),f6(x197412,x197412))+P2(f3(x197415,f4(x197411,x197415,x197414,x197412),x197412,x197412),x197411,f6(x197412,x197412))),
% 266.94/266.94 inference(rename_variables,[],[9])).
% 266.94/266.94 cnf(19743,plain,
% 266.94/266.94 (P2(x197431,f5(x197432,x197433),f6(x197433,x197433))+~P2(x197431,x197432,f6(x197433,x197433))),
% 266.94/266.94 inference(rename_variables,[],[4])).
% 266.94/266.94 cnf(19745,plain,
% 266.94/266.94 (P2(x197451,f5(x197452,x197453),f6(x197453,x197453))+~P2(x197451,x197452,f6(x197453,x197453))),
% 266.94/266.94 inference(rename_variables,[],[4])).
% 266.94/266.94 cnf(19747,plain,
% 266.94/266.94 (P2(x197471,f5(x197472,x197473),f6(x197473,x197473))+~P2(x197471,x197472,f6(x197473,x197473))),
% 266.94/266.94 inference(rename_variables,[],[4])).
% 266.94/266.94 cnf(19749,plain,
% 266.94/266.94 (P2(x197491,f5(x197492,x197493),f6(x197493,x197493))+~P2(x197491,x197492,f6(x197493,x197493))),
% 266.94/266.94 inference(rename_variables,[],[4])).
% 266.94/266.94 cnf(19752,plain,
% 266.94/266.94 (P2(f3(x197521,f4(x197522,x197523,x197521,x197524),x197524,x197524),f5(x197522,x197524),f6(x197524,x197524))+~P1(x197522,x197524)+~P2(f3(x197525,x197523,x197524,x197524),f5(x197522,x197524),f6(x197524,x197524))+~P2(f3(x197525,x197521,x197524,x197524),x197522,f6(x197524,x197524))),
% 266.94/266.94 inference(rename_variables,[],[10])).
% 266.94/266.94 cnf(19754,plain,
% 266.94/266.94 (~P1(x197541,x197542)+~P2(f3(x197543,x197544,x197542,x197542),x197541,f6(x197542,x197542))+~P2(f3(x197543,x197545,x197542,x197542),f5(x197541,x197542),f6(x197542,x197542))+P2(f3(x197545,f4(x197541,x197545,x197544,x197542),x197542,x197542),x197541,f6(x197542,x197542))),
% 266.94/266.94 inference(rename_variables,[],[9])).
% 266.94/266.94 cnf(19756,plain,
% 266.94/266.94 (P2(f3(x197561,f4(x197562,x197563,x197561,x197564),x197564,x197564),f5(x197562,x197564),f6(x197564,x197564))+~P1(x197562,x197564)+~P2(f3(x197565,x197563,x197564,x197564),f5(x197562,x197564),f6(x197564,x197564))+~P2(f3(x197565,x197561,x197564,x197564),x197562,f6(x197564,x197564))),
% 266.94/266.94 inference(rename_variables,[],[10])).
% 266.94/266.94 cnf(19758,plain,
% 266.94/266.94 (~P1(x197581,x197582)+~P2(f3(x197583,x197584,x197582,x197582),x197581,f6(x197582,x197582))+~P2(f3(x197583,x197585,x197582,x197582),f5(x197581,x197582),f6(x197582,x197582))+P2(f3(x197585,f4(x197581,x197585,x197584,x197582),x197582,x197582),x197581,f6(x197582,x197582))),
% 266.94/266.94 inference(rename_variables,[],[9])).
% 266.94/266.94 cnf(19760,plain,
% 266.94/266.94 (P2(f3(x197601,f4(x197602,x197603,x197601,x197604),x197604,x197604),f5(x197602,x197604),f6(x197604,x197604))+~P1(x197602,x197604)+~P2(f3(x197605,x197603,x197604,x197604),f5(x197602,x197604),f6(x197604,x197604))+~P2(f3(x197605,x197601,x197604,x197604),x197602,f6(x197604,x197604))),
% 266.94/266.94 inference(rename_variables,[],[10])).
% 266.94/266.94 cnf(19762,plain,
% 266.94/266.94 (~P1(x197621,x197622)+~P2(f3(x197623,x197624,x197622,x197622),x197621,f6(x197622,x197622))+~P2(f3(x197623,x197625,x197622,x197622),f5(x197621,x197622),f6(x197622,x197622))+P2(f3(x197625,f4(x197621,x197625,x197624,x197622),x197622,x197622),x197621,f6(x197622,x197622))),
% 266.94/266.94 inference(rename_variables,[],[9])).
% 266.94/266.94 cnf(19766,plain,
% 266.94/266.94 (P2(f3(x197661,f10(x197661),a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(a8,x197661,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(rename_variables,[],[6])).
% 266.94/266.94 cnf(19768,plain,
% 266.94/266.94 (P2(f3(a7,f10(x197681),a2,a2),f5(a1,a2),f6(a2,a2))+~P2(f3(a8,x197681,a2,a2),f5(a1,a2),f6(a2,a2))),
% 266.94/266.94 inference(rename_variables,[],[5])).
% 266.94/266.94 cnf(19770,plain,
% 266.94/266.94 (P2(f3(x197701,x197702,x197703,x197703),f5(x197704,x197703),f6(x197703,x197703))+~P2(f3(x197705,x197702,x197703,x197703),f5(x197704,x197703),f6(x197703,x197703))+~P2(f3(x197701,x197705,x197703,x197703),f5(x197704,x197703),f6(x197703,x197703))),
% 266.94/266.94 inference(rename_variables,[],[8])).
% 266.94/266.94 cnf(19777,plain,
% 266.94/266.94 ($false),
% 266.94/266.94 inference(scs_inference,[],[11,16855,16850,17410,125,17376,156,16870,16875,17055,17130,17336,17363,2,1,10,9,4,19743,19745,19747,19749,19739,19741,19752,19754,19756,19758,19760,19762,6,5,8,19766,19768,19770,7]),
% 266.94/266.94 ['proof']).
% 267.05/266.98 % SZS output end Proof
% 267.05/266.98 % Total time :266.270000s
%------------------------------------------------------------------------------