TSTP Solution File: LCL853-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 06:51:23 EDT 2023
% Result : Unsatisfiable 0.20s 0.65s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.18/0.35 % Computer : n008.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 04:56:47 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.000000s
% 0.20/0.64 % Output :CNFRefutation 0.000000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.64 % Domain : Logic Calculi
% 0.20/0.64 % Problem : Strong normalization of typed lambda calculus 273_17
% 0.20/0.64 % Version : Especial.
% 0.20/0.64 % English :
% 0.20/0.64
% 0.20/0.64 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.20/0.64 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.20/0.64 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.20/0.64 % Source : [Nip10]
% 0.20/0.64 % Names : StrongNorm-273_17 [Nip10]
% 0.20/0.64
% 0.20/0.64 % Status : Unsatisfiable
% 0.20/0.64 % Rating : 0.00 v5.5.0, 0.05 v5.3.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0
% 0.20/0.64 % Syntax : Number of clauses : 47 ( 19 unt; 9 nHn; 29 RR)
% 0.20/0.64 % Number of literals : 96 ( 30 equ; 48 neg)
% 0.20/0.64 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.64 % Number of predicates : 7 ( 6 usr; 0 prp; 1-3 aty)
% 0.20/0.64 % Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% 0.20/0.64 % Number of variables : 106 ( 28 sgn)
% 0.20/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.64
% 0.20/0.64 % Comments :
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 cnf(cls_order__less__asym_H_0,axiom,
% 0.20/0.64 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_order__less__asym_0,axiom,
% 0.20/0.64 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.20/0.64 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_xt1_I9_J_0,axiom,
% 0.20/0.64 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_subst__App_0,axiom,
% 0.20/0.64 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.20/0.64 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.20/0.64 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_subst__eq_0,axiom,
% 0.20/0.64 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_subst__lt_0,axiom,
% 0.20/0.64 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.20/0.64 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.20/0.64 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 0.20/0.64 | V_dB1 = V_dB1_H ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.20/0.64 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 0.20/0.64 | V_dB2 = V_dB2_H ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.20/0.64 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.64 | V_x = V_y
% 0.20/0.64 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.64 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_linorder__less__linear_0,axiom,
% 0.20/0.64 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.64 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.64 | V_x = V_y
% 0.20/0.64 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_linorder__neqE_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.65 | V_x = V_y ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.20/0.65 | V_x = V_y ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_nat__neq__iff_0,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.20/0.65 | V_m = V_n ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | V_x = V_y
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.20/0.65 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.20/0.65 | V_x = V_y ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__irrefl_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_linorder__neq__iff_1,axiom,
% 0.20/0.65 ( ~ class_Orderings_Olinorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__le_1,axiom,
% 0.20/0.65 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_less__not__refl_0,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_nat__less__le_1,axiom,
% 0.20/0.65 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.20/0.65 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__Var_2,axiom,
% 0.20/0.65 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.20/0.65 | V_i = V_k
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_order__less__trans_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Opreorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_xt1_I10_J_0,axiom,
% 0.20/0.65 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.65 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__Var_1,axiom,
% 0.20/0.65 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.20/0.65 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__lift_0,axiom,
% 0.20/0.65 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_app__Var__IT_0,axiom,
% 0.20/0.65 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i)))
% 0.20/0.65 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.20/0.65 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.20/0.65 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.20/0.65 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.20/0.65 | V_dB = V_dB_H ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_subst__Var__IT_0,axiom,
% 0.20/0.65 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))
% 0.20/0.65 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.20/0.65 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.20/0.65 | V_nat = V_nat_H ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.20/0.65 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_App_I2_J_0,axiom,
% 0.20/0.65 c_InductTermi_OIT(v_s____) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_lift__IT_0,axiom,
% 0.20/0.65 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 0.20/0.65 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_Var__IT_0,axiom,
% 0.20/0.65 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_App_I4_J_0,axiom,
% 0.20/0.65 c_InductTermi_OIT(v_ta____) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_Lambda_0,axiom,
% 0.20/0.65 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 0.20/0.65 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.20/0.65
% 0.20/0.65 cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.65 ~ c_InductTermi_OIT(v_s____) ).
% 0.20/0.65
% 0.20/0.65 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.20/0.65 class_Orderings_Opreorder(tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.20/0.65 class_Orderings_Olinorder(tc_nat) ).
% 0.20/0.65
% 0.20/0.65 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.20/0.65 class_Orderings_Oorder(tc_nat) ).
% 0.20/0.65
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 % Proof found
% 0.20/0.65 % SZS status Theorem for theBenchmark
% 0.20/0.65 % SZS output start Proof
% 0.20/0.65 %ClaNum:67(EqnAxiom:20)
% 0.20/0.65 %VarNum:171(SingletonVarNum:87)
% 0.20/0.65 %MaxLitNum:4
% 0.20/0.65 %MaxfuncDepth:2
% 0.20/0.65 %SharedTerms:9
% 0.20/0.65 %goalClause: 31
% 0.20/0.65 %singleGoalClaCount:1
% 0.20/0.65 [21]P1(a1)
% 0.20/0.65 [22]P2(a1)
% 0.20/0.65 [23]P5(a1)
% 0.20/0.65 [24]P3(a7)
% 0.20/0.65 [25]P3(a8)
% 0.20/0.65 [31]~P3(a7)
% 0.20/0.65 [39]~P4(x391,x391,a1)
% 0.20/0.65 [26]P3(f2(x261))
% 0.20/0.65 [33]~E(f2(x331),f4(x332))
% 0.20/0.65 [27]E(f5(f2(x271),x272,x271),x272)
% 0.20/0.65 [34]~E(f4(x341),f3(x342,x343))
% 0.20/0.65 [35]~E(f2(x351),f3(x352,x353))
% 0.20/0.65 [36]~E(f3(x361,x362),f4(x363))
% 0.20/0.65 [37]~E(f3(x371,x372),f2(x373))
% 0.20/0.65 [28]E(f5(f6(x281,x282),x283,x282),x281)
% 0.20/0.65 [29]E(f3(f6(x291,x292),f6(x293,x292)),f6(f3(x291,x293),x292))
% 0.20/0.65 [30]E(f3(f5(x301,x302,x303),f5(x304,x302,x303)),f5(f3(x301,x304),x302,x303))
% 0.20/0.65 [42]~P3(x421)+P3(f4(x421))
% 0.20/0.65 [47]~P4(x472,x472,x471)+~P1(x471)
% 0.20/0.65 [48]~P4(x482,x482,x481)+~P2(x481)
% 0.20/0.65 [49]~P4(x492,x492,x491)+~P5(x491)
% 0.20/0.65 [40]E(x401,x402)+~E(f4(x401),f4(x402))
% 0.20/0.65 [41]E(x411,x412)+~E(f2(x411),f2(x412))
% 0.20/0.65 [43]~P3(x431)+P3(f6(x431,x432))
% 0.20/0.65 [46]~P3(x461)+P3(f3(x461,f2(x462)))
% 0.20/0.65 [50]~P4(x501,x502,a1)+E(f6(f2(x501),x502),f2(x501))
% 0.20/0.65 [60]~P3(x601)+P3(f5(x601,f2(x602),x603))
% 0.20/0.65 [61]~P4(x611,x613,a1)+E(f5(f2(x611),x612,x613),f2(x611))
% 0.20/0.65 [44]E(x441,x442)+~E(f3(x443,x441),f3(x444,x442))
% 0.20/0.65 [45]E(x451,x452)+~E(f3(x451,x453),f3(x452,x454))
% 0.20/0.65 [52]E(x521,x522)+P4(x522,x521,a1)+P4(x521,x522,a1)
% 0.20/0.65 [63]~P4(x633,x632,x631)+~P1(x631)+~P4(x632,x633,x631)
% 0.20/0.65 [64]~P4(x643,x642,x641)+~P2(x641)+~P4(x642,x643,x641)
% 0.20/0.65 [65]~P4(x653,x652,x651)+~P5(x651)+~P4(x652,x653,x651)
% 0.20/0.65 [59]E(x591,x592)+P4(x592,x591,a1)+E(f5(f2(x591),x593,x592),f2(x591))
% 0.20/0.65 [57]P4(x571,x572,x573)+~P2(x573)+E(x571,x572)+P4(x572,x571,x573)
% 0.20/0.65 [58]P4(x581,x582,x583)+~P6(x583)+E(x581,x582)+P4(x582,x581,x583)
% 0.20/0.65 [66]~P1(x663)+~P4(x661,x664,x663)+P4(x661,x662,x663)+~P4(x664,x662,x663)
% 0.20/0.65 [67]~P5(x673)+~P4(x671,x674,x673)+P4(x671,x672,x673)+~P4(x674,x672,x673)
% 0.20/0.65 %EqnAxiom
% 0.20/0.65 [1]E(x11,x11)
% 0.20/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.65 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.20/0.65 [5]~E(x51,x52)+E(f5(x51,x53,x54),f5(x52,x53,x54))
% 0.20/0.65 [6]~E(x61,x62)+E(f5(x63,x61,x64),f5(x63,x62,x64))
% 0.20/0.65 [7]~E(x71,x72)+E(f5(x73,x74,x71),f5(x73,x74,x72))
% 0.20/0.65 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 0.20/0.65 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 0.20/0.65 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 0.20/0.65 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 0.20/0.65 [12]~E(x121,x122)+E(f4(x121),f4(x122))
% 0.20/0.65 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 0.20/0.65 [14]~P2(x141)+P2(x142)+~E(x141,x142)
% 0.20/0.65 [15]~P5(x151)+P5(x152)+~E(x151,x152)
% 0.20/0.65 [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 0.20/0.65 [17]P4(x172,x173,x174)+~E(x171,x172)+~P4(x171,x173,x174)
% 0.20/0.65 [18]P4(x183,x182,x184)+~E(x181,x182)+~P4(x183,x181,x184)
% 0.20/0.65 [19]P4(x193,x194,x192)+~E(x191,x192)+~P4(x193,x194,x191)
% 0.20/0.65 [20]~P6(x201)+P6(x202)+~E(x201,x202)
% 0.20/0.65
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 cnf(68,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[31,24]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------