%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL853-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:20:00 AM UTC 2026 % Result : Unsatisfiable 0.24s 0.52s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL853-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.09/0.34 % Computer : n020.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 5 00:38:12 UTC 2026 % 0.09/0.34 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 0.24/0.51 %------------------------------------------- % 0.24/0.51 % File :CSE---1.7 % 0.24/0.51 % Problem :theBenchmark % 0.24/0.51 % Transform :cnf % 0.24/0.51 % Format :tptp:raw % 0.24/0.51 % Command :java -jar mcs_scs.jar %d %s % 0.24/0.51 % 0.24/0.51 % Result :Theorem 0.005172s % 0.24/0.51 % Output :CNFRefutation 0.005172s % 0.24/0.51 %------------------------------------------- % 0.24/0.51 %------------------------------------------------------------------------------ % 0.24/0.51 % File : LCL853-1 : TPTP v9.3.1. Released v4.1.0. % 0.24/0.51 % Domain : Logic Calculi % 0.24/0.51 % Problem : Strong normalization of typed lambda calculus 273_17 % 0.24/0.51 % Version : Especial. % 0.24/0.51 % English : % 0.24/0.51 % 0.24/0.51 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.24/0.51 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.24/0.51 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.24/0.51 % Source : [Nip10] % 0.24/0.51 % Names : StrongNorm-273_17 [Nip10] % 0.24/0.51 % 0.24/0.51 % Status : Unsatisfiable % 0.24/0.51 % 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 % 0.24/0.51 % Syntax : Number of clauses : 47 ( 19 unt; 9 nHn; 29 RR) % 0.24/0.51 % Number of literals : 96 ( 30 equ; 48 neg) % 0.24/0.51 % Maximal clause size : 4 ( 2 avg) % 0.24/0.51 % Maximal term depth : 3 ( 1 avg) % 0.24/0.51 % Number of predicates : 7 ( 6 usr; 0 prp; 1-3 aty) % 0.24/0.51 % Number of functors : 8 ( 8 usr; 3 con; 0-3 aty) % 0.24/0.51 % Number of variables : 106 ( 28 sgn) % 0.24/0.51 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.24/0.51 % 0.24/0.51 % Comments : % 0.24/0.51 %------------------------------------------------------------------------------ % 0.24/0.51 cnf(cls_order__less__asym_H_0,axiom, % 0.24/0.51 ( ~ class_Orderings_Opreorder(T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.24/0.51 % 0.24/0.51 cnf(cls_order__less__asym_0,axiom, % 0.24/0.51 ( ~ class_Orderings_Opreorder(T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.24/0.51 % 0.24/0.51 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.24/0.51 ( ~ class_Orderings_Olinorder(T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.24/0.51 % 0.24/0.51 cnf(cls_xt1_I9_J_0,axiom, % 0.24/0.51 ( ~ class_Orderings_Oorder(T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.24/0.51 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.24/0.51 % 0.24/0.51 cnf(cls_subst__App_0,axiom, % 0.24/0.51 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)) ). % 0.24/0.51 % 0.24/0.52 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.24/0.52 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.24/0.52 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_subst__eq_0,axiom, % 0.24/0.52 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 0.24/0.52 % 0.24/0.52 cnf(cls_subst__lt_0,axiom, % 0.24/0.52 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.24/0.52 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) % 0.24/0.52 | V_dB1 = V_dB1_H ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.24/0.52 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) % 0.24/0.52 | V_dB2 = V_dB2_H ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Olinorder(T_a) % 0.24/0.52 | V_x = V_y % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_linorder__less__linear_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Olinorder(T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.24/0.52 | V_x = V_y % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_linorder__neqE_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Olinorder(T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.24/0.52 | V_x = V_y ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_linorder__neqE__nat_0,axiom, % 0.24/0.52 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.24/0.52 | V_x = V_y ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_nat__neq__iff_0,axiom, % 0.24/0.52 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.24/0.52 | V_m = V_n ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Olinorder(T_a) % 0.24/0.52 | V_x = V_y % 0.24/0.52 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.24/0.52 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.24/0.52 | V_x = V_y ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_order__less__irrefl_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Opreorder(T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_linorder__neq__iff_1,axiom, % 0.24/0.52 ( ~ class_Orderings_Olinorder(T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_order__less__le_1,axiom, % 0.24/0.52 ( ~ class_Orderings_Oorder(T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_less__not__refl_0,axiom, % 0.24/0.52 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_nat__less__le_1,axiom, % 0.24/0.52 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.24/0.52 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.24/0.52 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)) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_subst__Var_2,axiom, % 0.24/0.52 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.24/0.52 | V_i = V_k % 0.24/0.52 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_order__less__trans_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Opreorder(T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_xt1_I10_J_0,axiom, % 0.24/0.52 ( ~ class_Orderings_Oorder(T_a) % 0.24/0.52 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_subst__Var_1,axiom, % 0.24/0.52 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.24/0.52 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_subst__lift_0,axiom, % 0.24/0.52 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.24/0.52 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_app__Var__IT_0,axiom, % 0.24/0.52 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i))) % 0.24/0.52 | ~ c_InductTermi_OIT(V_t) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.24/0.52 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.24/0.52 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.24/0.52 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.24/0.52 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.24/0.52 | V_dB = V_dB_H ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_subst__Var__IT_0,axiom, % 0.24/0.52 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)) % 0.24/0.52 | ~ c_InductTermi_OIT(V_r) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.24/0.52 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.24/0.52 | V_nat = V_nat_H ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.24/0.52 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_App_I2_J_0,axiom, % 0.24/0.52 c_InductTermi_OIT(v_s____) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_lift__IT_0,axiom, % 0.24/0.52 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) % 0.24/0.52 | ~ c_InductTermi_OIT(V_t) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_Var__IT_0,axiom, % 0.24/0.52 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_App_I4_J_0,axiom, % 0.24/0.52 c_InductTermi_OIT(v_ta____) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_Lambda_0,axiom, % 0.24/0.52 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r)) % 0.24/0.52 | ~ c_InductTermi_OIT(V_r) ) ). % 0.24/0.52 % 0.24/0.52 cnf(cls_conjecture_0,negated_conjecture, % 0.24/0.52 ~ c_InductTermi_OIT(v_s____) ). % 0.24/0.52 % 0.24/0.52 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.24/0.52 class_Orderings_Opreorder(tc_nat) ). % 0.24/0.52 % 0.24/0.52 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.24/0.52 class_Orderings_Olinorder(tc_nat) ). % 0.24/0.52 % 0.24/0.52 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.24/0.52 class_Orderings_Oorder(tc_nat) ). % 0.24/0.52 % 0.24/0.52 %------------------------------------------------------------------------------ % 0.24/0.52 %------------------------------------------- % 0.24/0.52 % Proof found % 0.24/0.52 % SZS status Theorem for theBenchmark % 0.24/0.52 % SZS output start Proof % 0.24/0.52 %ClaNum:67(EqnAxiom:20) % 0.24/0.52 %VarNum:171(SingletonVarNum:87) % 0.24/0.52 %MaxLitNum:4 % 0.24/0.52 %MaxfuncDepth:2 % 0.24/0.52 %SharedTerms:9 % 0.24/0.52 %goalClause: 31 % 0.24/0.52 %singleGoalClaCount:1 % 0.24/0.52 [21]P1(a1) % 0.24/0.52 [22]P2(a1) % 0.24/0.52 [23]P5(a1) % 0.24/0.52 [24]P3(a7) % 0.24/0.52 [25]P3(a8) % 0.24/0.52 [31]~P3(a7) % 0.24/0.52 [39]~P4(x391,x391,a1) % 0.24/0.52 [26]P3(f2(x261)) % 0.24/0.52 [33]~E(f2(x331),f4(x332)) % 0.24/0.52 [27]E(f5(f2(x271),x272,x271),x272) % 0.24/0.52 [34]~E(f4(x341),f3(x342,x343)) % 0.24/0.52 [35]~E(f2(x351),f3(x352,x353)) % 0.24/0.52 [36]~E(f3(x361,x362),f4(x363)) % 0.24/0.52 [37]~E(f3(x371,x372),f2(x373)) % 0.24/0.52 [28]E(f5(f6(x281,x282),x283,x282),x281) % 0.24/0.52 [29]E(f3(f6(x291,x292),f6(x293,x292)),f6(f3(x291,x293),x292)) % 0.24/0.52 [30]E(f3(f5(x301,x302,x303),f5(x304,x302,x303)),f5(f3(x301,x304),x302,x303)) % 0.24/0.53 [42]~P3(x421)+P3(f4(x421)) % 0.24/0.53 [47]~P4(x472,x472,x471)+~P1(x471) % 0.24/0.53 [48]~P4(x482,x482,x481)+~P2(x481) % 0.24/0.53 [49]~P4(x492,x492,x491)+~P5(x491) % 0.24/0.53 [40]E(x401,x402)+~E(f4(x401),f4(x402)) % 0.24/0.53 [41]E(x411,x412)+~E(f2(x411),f2(x412)) % 0.24/0.53 [43]~P3(x431)+P3(f6(x431,x432)) % 0.24/0.53 [46]~P3(x461)+P3(f3(x461,f2(x462))) % 0.24/0.53 [50]~P4(x501,x502,a1)+E(f6(f2(x501),x502),f2(x501)) % 0.24/0.53 [60]~P3(x601)+P3(f5(x601,f2(x602),x603)) % 0.24/0.53 [61]~P4(x611,x613,a1)+E(f5(f2(x611),x612,x613),f2(x611)) % 0.24/0.53 [44]E(x441,x442)+~E(f3(x443,x441),f3(x444,x442)) % 0.24/0.53 [45]E(x451,x452)+~E(f3(x451,x453),f3(x452,x454)) % 0.24/0.53 [52]E(x521,x522)+P4(x522,x521,a1)+P4(x521,x522,a1) % 0.24/0.53 [63]~P4(x633,x632,x631)+~P1(x631)+~P4(x632,x633,x631) % 0.24/0.53 [64]~P4(x643,x642,x641)+~P2(x641)+~P4(x642,x643,x641) % 0.24/0.53 [65]~P4(x653,x652,x651)+~P5(x651)+~P4(x652,x653,x651) % 0.24/0.53 [59]E(x591,x592)+P4(x592,x591,a1)+E(f5(f2(x591),x593,x592),f2(x591)) % 0.24/0.53 [57]P4(x571,x572,x573)+~P2(x573)+E(x571,x572)+P4(x572,x571,x573) % 0.24/0.53 [58]P4(x581,x582,x583)+~P6(x583)+E(x581,x582)+P4(x582,x581,x583) % 0.24/0.53 [66]~P1(x663)+~P4(x661,x664,x663)+P4(x661,x662,x663)+~P4(x664,x662,x663) % 0.24/0.53 [67]~P5(x673)+~P4(x671,x674,x673)+P4(x671,x672,x673)+~P4(x674,x672,x673) % 0.24/0.53 %EqnAxiom % 0.24/0.53 [1]E(x11,x11) % 0.24/0.53 [2]E(x22,x21)+~E(x21,x22) % 0.24/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.24/0.53 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.24/0.53 [5]~E(x51,x52)+E(f5(x51,x53,x54),f5(x52,x53,x54)) % 0.24/0.53 [6]~E(x61,x62)+E(f5(x63,x61,x64),f5(x63,x62,x64)) % 0.24/0.53 [7]~E(x71,x72)+E(f5(x73,x74,x71),f5(x73,x74,x72)) % 0.24/0.53 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83)) % 0.24/0.53 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92)) % 0.24/0.53 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103)) % 0.24/0.53 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112)) % 0.24/0.53 [12]~E(x121,x122)+E(f4(x121),f4(x122)) % 0.24/0.53 [13]~P1(x131)+P1(x132)+~E(x131,x132) % 0.24/0.53 [14]~P2(x141)+P2(x142)+~E(x141,x142) % 0.24/0.53 [15]~P5(x151)+P5(x152)+~E(x151,x152) % 0.24/0.53 [16]~P3(x161)+P3(x162)+~E(x161,x162) % 0.24/0.53 [17]P4(x172,x173,x174)+~E(x171,x172)+~P4(x171,x173,x174) % 0.24/0.53 [18]P4(x183,x182,x184)+~E(x181,x182)+~P4(x183,x181,x184) % 0.24/0.53 [19]P4(x193,x194,x192)+~E(x191,x192)+~P4(x193,x194,x191) % 0.24/0.53 [20]~P6(x201)+P6(x202)+~E(x201,x202) % 0.24/0.53 % 0.24/0.53 %------------------------------------------- % 0.24/0.53 cnf(72,plain, % 0.24/0.53 ($false), % 0.24/0.53 inference(scs_inference,[],[31,24]), % 0.24/0.53 ['proof']). % 0.24/0.53 % SZS output end Proof % 0.24/0.53 % Total time :0.005172s %------------------------------------------------------------------------------