%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU085+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n026.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 : Mon Jun 24 15:01:00 EDT 2024 % Result : Theorem 0.56s 0.65s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU085+1 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.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 : Fri Jun 21 16:20:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.50/0.58 start to proof:theBenchmark % 0.50/0.63 %------------------------------------------- % 0.50/0.63 % File :CSE---1.7 % 0.50/0.63 % Problem :theBenchmark % 0.50/0.63 % Transform :cnf % 0.50/0.63 % Format :tptp:raw % 0.50/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.50/0.63 % 0.50/0.63 % Result :Theorem 0.000000s % 0.50/0.63 % Output :CNFRefutation 0.000000s % 0.50/0.63 %------------------------------------------- % 0.56/0.64 %------------------------------------------------------------------------------ % 0.56/0.64 % File : SEU085+1 : TPTP v8.2.0. Released v3.2.0. % 0.56/0.64 % Domain : Set theory % 0.56/0.64 % Problem : Finite sets, theorem 16 % 0.56/0.64 % Version : [Urb06] axioms : Especial. % 0.56/0.64 % English : % 0.56/0.64 % 0.56/0.64 % Refs : [Dar90] Darmochwal (1990), Finite Sets % 0.56/0.64 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.56/0.64 % Source : [Urb06] % 0.56/0.64 % Names : finset_1__t16_finset_1 [Urb06] % 0.56/0.64 % 0.56/0.64 % Status : Theorem % 0.56/0.64 % Rating : 0.03 v8.1.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v3.2.0 % 0.56/0.64 % Syntax : Number of formulae : 60 ( 10 unt; 0 def) % 0.56/0.64 % Number of atoms : 182 ( 4 equ) % 0.56/0.64 % Maximal formula atoms : 10 ( 3 avg) % 0.56/0.64 % Number of connectives : 139 ( 17 ~; 1 |; 95 &) % 0.56/0.64 % ( 1 <=>; 25 =>; 0 <=; 0 <~>) % 0.56/0.64 % Maximal formula depth : 12 ( 4 avg) % 0.56/0.64 % Maximal term depth : 2 ( 1 avg) % 0.56/0.64 % Number of predicates : 19 ( 18 usr; 0 prp; 1-2 aty) % 0.56/0.64 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty) % 0.56/0.64 % Number of variables : 78 ( 52 !; 26 ?) % 0.56/0.64 % SPC : FOF_THM_RFO_SEQ % 0.56/0.64 % 0.56/0.64 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.56/0.64 % library, www.mizar.org % 0.56/0.64 %------------------------------------------------------------------------------ % 0.56/0.64 fof(antisymmetry_r2_hidden,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( in(A,B) % 0.56/0.64 => ~ in(B,A) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc1_arytm_3,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ordinal(A) % 0.56/0.64 => ! [B] : % 0.56/0.64 ( element(B,A) % 0.56/0.64 => ( epsilon_transitive(B) % 0.56/0.64 & epsilon_connected(B) % 0.56/0.64 & ordinal(B) ) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc1_finset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( empty(A) % 0.56/0.64 => finite(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc1_funct_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( empty(A) % 0.56/0.64 => function(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc1_ordinal1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ordinal(A) % 0.56/0.64 => ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc1_relat_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( empty(A) % 0.56/0.64 => relation(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc2_arytm_3,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ( empty(A) % 0.56/0.64 & ordinal(A) ) % 0.56/0.64 => ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) % 0.56/0.64 & natural(A) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc2_finset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( finite(A) % 0.56/0.64 => ! [B] : % 0.56/0.64 ( element(B,powerset(A)) % 0.56/0.64 => finite(B) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc2_funct_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ( relation(A) % 0.56/0.64 & empty(A) % 0.56/0.64 & function(A) ) % 0.56/0.64 => ( relation(A) % 0.56/0.64 & function(A) % 0.56/0.64 & one_to_one(A) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc2_ordinal1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) ) % 0.56/0.64 => ordinal(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc3_ordinal1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( empty(A) % 0.56/0.64 => ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(cc4_arytm_3,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( element(A,positive_rationals) % 0.56/0.64 => ( ordinal(A) % 0.56/0.64 => ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) % 0.56/0.64 & natural(A) ) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(existence_m1_subset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ? [B] : element(B,A) ). % 0.56/0.64 % 0.56/0.64 fof(fc12_finset_1,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( finite(A) % 0.56/0.64 => finite(set_difference(A,B)) ) ). % 0.56/0.64 % 0.56/0.64 fof(fc12_relat_1,axiom, % 0.56/0.64 ( empty(empty_set) % 0.56/0.64 & relation(empty_set) % 0.56/0.64 & relation_empty_yielding(empty_set) ) ). % 0.56/0.64 % 0.56/0.64 fof(fc1_subset_1,axiom, % 0.56/0.64 ! [A] : ~ empty(powerset(A)) ). % 0.56/0.64 % 0.56/0.64 fof(fc1_xboole_0,axiom, % 0.56/0.64 empty(empty_set) ). % 0.56/0.64 % 0.56/0.64 fof(fc2_ordinal1,axiom, % 0.56/0.64 ( relation(empty_set) % 0.56/0.64 & relation_empty_yielding(empty_set) % 0.56/0.64 & function(empty_set) % 0.56/0.64 & one_to_one(empty_set) % 0.56/0.64 & empty(empty_set) % 0.56/0.64 & epsilon_transitive(empty_set) % 0.56/0.64 & epsilon_connected(empty_set) % 0.56/0.64 & ordinal(empty_set) ) ). % 0.56/0.64 % 0.56/0.64 fof(fc3_relat_1,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( ( relation(A) % 0.56/0.64 & relation(B) ) % 0.56/0.64 => relation(set_difference(A,B)) ) ). % 0.56/0.64 % 0.56/0.64 fof(fc4_relat_1,axiom, % 0.56/0.64 ( empty(empty_set) % 0.56/0.64 & relation(empty_set) ) ). % 0.56/0.64 % 0.56/0.64 fof(fc8_arytm_3,axiom, % 0.56/0.64 ~ empty(positive_rationals) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_arytm_3,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( ~ empty(A) % 0.56/0.64 & epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) % 0.56/0.64 & natural(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_finset_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( ~ empty(A) % 0.56/0.64 & finite(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_funcop_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & function(A) % 0.56/0.64 & function_yielding(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_funct_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & function(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_ordinal1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_ordinal2,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) % 0.56/0.64 & being_limit_ordinal(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_relat_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( empty(A) % 0.56/0.64 & relation(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_subset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ~ empty(A) % 0.56/0.64 => ? [B] : % 0.56/0.64 ( element(B,powerset(A)) % 0.56/0.64 & ~ empty(B) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc1_xboole_0,axiom, % 0.56/0.64 ? [A] : empty(A) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_arytm_3,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( element(A,positive_rationals) % 0.56/0.64 & ~ empty(A) % 0.56/0.64 & epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_finset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ? [B] : % 0.56/0.64 ( element(B,powerset(A)) % 0.56/0.64 & empty(B) % 0.56/0.64 & relation(B) % 0.56/0.64 & function(B) % 0.56/0.64 & one_to_one(B) % 0.56/0.64 & epsilon_transitive(B) % 0.56/0.64 & epsilon_connected(B) % 0.56/0.64 & ordinal(B) % 0.56/0.64 & natural(B) % 0.56/0.64 & finite(B) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_funct_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & empty(A) % 0.56/0.64 & function(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_ordinal1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & function(A) % 0.56/0.64 & one_to_one(A) % 0.56/0.64 & empty(A) % 0.56/0.64 & epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_ordinal2,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & function(A) % 0.56/0.64 & transfinite_sequence(A) % 0.56/0.64 & ordinal_yielding(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_relat_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( ~ empty(A) % 0.56/0.64 & relation(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_subset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ? [B] : % 0.56/0.64 ( element(B,powerset(A)) % 0.56/0.64 & empty(B) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc2_xboole_0,axiom, % 0.56/0.64 ? [A] : ~ empty(A) ). % 0.56/0.64 % 0.56/0.64 fof(rc3_arytm_3,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( element(A,positive_rationals) % 0.56/0.64 & empty(A) % 0.56/0.64 & epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) % 0.56/0.64 & natural(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc3_finset_1,axiom, % 0.56/0.64 ! [A] : % 0.56/0.64 ( ~ empty(A) % 0.56/0.64 => ? [B] : % 0.56/0.64 ( element(B,powerset(A)) % 0.56/0.64 & ~ empty(B) % 0.56/0.64 & finite(B) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc3_funct_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & function(A) % 0.56/0.64 & one_to_one(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc3_ordinal1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( ~ empty(A) % 0.56/0.64 & epsilon_transitive(A) % 0.56/0.64 & epsilon_connected(A) % 0.56/0.64 & ordinal(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc3_relat_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & relation_empty_yielding(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc4_funct_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & relation_empty_yielding(A) % 0.56/0.64 & function(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc4_ordinal1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & function(A) % 0.56/0.64 & transfinite_sequence(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(rc5_funct_1,axiom, % 0.56/0.64 ? [A] : % 0.56/0.64 ( relation(A) % 0.56/0.64 & relation_non_empty(A) % 0.56/0.64 & function(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(reflexivity_r1_tarski,axiom, % 0.56/0.64 ! [A,B] : subset(A,A) ). % 0.56/0.64 % 0.56/0.64 fof(t13_finset_1,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( ( subset(A,B) % 0.56/0.64 & finite(B) ) % 0.56/0.64 => finite(A) ) ). % 0.56/0.64 % 0.56/0.64 fof(t16_finset_1,conjecture, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( finite(A) % 0.56/0.64 => finite(set_difference(A,B)) ) ). % 0.56/0.64 % 0.56/0.64 fof(t1_subset,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( in(A,B) % 0.56/0.64 => element(A,B) ) ). % 0.56/0.64 % 0.56/0.64 fof(t2_subset,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( element(A,B) % 0.56/0.64 => ( empty(B) % 0.56/0.64 | in(A,B) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(t36_xboole_1,axiom, % 0.56/0.64 ! [A,B] : subset(set_difference(A,B),A) ). % 0.56/0.64 % 0.56/0.64 fof(t3_boole,axiom, % 0.56/0.64 ! [A] : set_difference(A,empty_set) = A ). % 0.56/0.64 % 0.56/0.64 fof(t3_subset,axiom, % 0.56/0.64 ! [A,B] : % 0.56/0.64 ( element(A,powerset(B)) % 0.56/0.64 <=> subset(A,B) ) ). % 0.56/0.64 % 0.56/0.64 fof(t4_boole,axiom, % 0.56/0.64 ! [A] : set_difference(empty_set,A) = empty_set ). % 0.56/0.64 % 0.56/0.64 fof(t4_subset,axiom, % 0.56/0.64 ! [A,B,C] : % 0.56/0.64 ( ( in(A,B) % 0.56/0.65 & element(B,powerset(C)) ) % 0.56/0.65 => element(A,C) ) ). % 0.56/0.65 % 0.56/0.65 fof(t5_subset,axiom, % 0.56/0.65 ! [A,B,C] : % 0.56/0.65 ~ ( in(A,B) % 0.56/0.65 & element(B,powerset(C)) % 0.56/0.65 & empty(C) ) ). % 0.56/0.65 % 0.56/0.65 fof(t6_boole,axiom, % 0.56/0.65 ! [A] : % 0.56/0.65 ( empty(A) % 0.56/0.65 => A = empty_set ) ). % 0.56/0.65 % 0.56/0.65 fof(t7_boole,axiom, % 0.56/0.65 ! [A,B] : % 0.56/0.65 ~ ( in(A,B) % 0.56/0.65 & empty(B) ) ). % 0.56/0.65 % 0.56/0.65 fof(t8_boole,axiom, % 0.56/0.65 ! [A,B] : % 0.56/0.65 ~ ( empty(A) % 0.56/0.65 & A != B % 0.56/0.65 & empty(B) ) ). % 0.56/0.65 % 0.56/0.65 %------------------------------------------------------------------------------ % 0.56/0.65 %------------------------------------------- % 0.56/0.65 % Proof found % 0.56/0.65 % SZS status Theorem for theBenchmark % 0.56/0.65 % SZS output start Proof % 0.56/0.65 %ClaNum:173(EqnAxiom:32) % 0.56/0.65 %VarNum:134(SingletonVarNum:71) % 0.56/0.65 %MaxLitNum:4 % 0.56/0.65 %MaxfuncDepth:1 % 0.56/0.65 %SharedTerms:105 % 0.56/0.65 %goalClause: 67 135 % 0.56/0.65 %singleGoalClaCount:2 % 0.56/0.65 [33]P1(a1) % 0.56/0.65 [34]P1(a2) % 0.56/0.65 [35]P1(a23) % 0.56/0.65 [36]P1(a27) % 0.56/0.65 [37]P1(a3) % 0.56/0.65 [38]P1(a5) % 0.56/0.65 [39]P1(a8) % 0.56/0.65 [40]P1(a13) % 0.56/0.65 [41]P2(a1) % 0.56/0.65 [42]P2(a2) % 0.56/0.65 [43]P2(a23) % 0.56/0.65 [44]P2(a27) % 0.56/0.65 [45]P2(a3) % 0.56/0.65 [46]P2(a5) % 0.56/0.65 [47]P2(a8) % 0.56/0.65 [48]P2(a13) % 0.56/0.65 [49]P3(a1) % 0.56/0.65 [50]P3(a2) % 0.56/0.65 [51]P3(a23) % 0.56/0.65 [52]P3(a27) % 0.56/0.65 [53]P3(a3) % 0.56/0.65 [54]P3(a5) % 0.56/0.65 [55]P3(a8) % 0.56/0.65 [56]P3(a13) % 0.56/0.65 [60]P4(a1) % 0.56/0.65 [61]P4(a28) % 0.56/0.65 [62]P4(a4) % 0.56/0.65 [63]P4(a6) % 0.56/0.65 [64]P4(a5) % 0.56/0.65 [65]P4(a8) % 0.56/0.65 [66]P7(a24) % 0.56/0.65 [67]P7(a17) % 0.56/0.65 [68]P8(a1) % 0.56/0.65 [69]P8(a25) % 0.56/0.65 [70]P8(a26) % 0.56/0.65 [71]P8(a6) % 0.56/0.65 [72]P8(a5) % 0.56/0.65 [73]P8(a9) % 0.56/0.65 [74]P8(a14) % 0.56/0.65 [75]P8(a18) % 0.56/0.65 [76]P8(a20) % 0.56/0.65 [77]P8(a21) % 0.56/0.65 [80]P13(a1) % 0.56/0.65 [81]P13(a25) % 0.56/0.65 [82]P13(a26) % 0.56/0.65 [83]P13(a28) % 0.56/0.65 [84]P13(a6) % 0.56/0.65 [85]P13(a5) % 0.56/0.65 [86]P13(a9) % 0.56/0.65 [87]P13(a10) % 0.56/0.65 [88]P13(a14) % 0.56/0.65 [89]P13(a19) % 0.56/0.65 [90]P13(a18) % 0.56/0.65 [91]P13(a20) % 0.56/0.65 [92]P13(a21) % 0.56/0.65 [93]P9(a2) % 0.56/0.65 [94]P9(a8) % 0.56/0.65 [95]P12(a1) % 0.56/0.65 [96]P12(a5) % 0.56/0.65 [97]P12(a14) % 0.56/0.65 [99]P15(a1) % 0.56/0.65 [100]P15(a19) % 0.56/0.65 [101]P15(a18) % 0.56/0.65 [102]P10(a25) % 0.56/0.65 [103]P5(a27) % 0.56/0.65 [104]P16(a9) % 0.56/0.65 [105]P16(a20) % 0.56/0.65 [106]P14(a9) % 0.56/0.65 [107]P17(a21) % 0.56/0.65 [118]P6(a3,a29) % 0.56/0.65 [119]P6(a8,a29) % 0.56/0.65 [127]~P4(a29) % 0.56/0.65 [128]~P4(a2) % 0.56/0.65 [129]~P4(a24) % 0.56/0.65 [130]~P4(a3) % 0.56/0.65 [131]~P4(a10) % 0.56/0.65 [132]~P4(a12) % 0.56/0.65 [133]~P4(a13) % 0.56/0.65 [135]~P7(f31(a17,a22)) % 0.56/0.65 [122]P18(x1221,x1221) % 0.56/0.65 [108]P1(f7(x1081)) % 0.56/0.65 [109]P2(f7(x1091)) % 0.56/0.65 [110]P3(f7(x1101)) % 0.56/0.65 [111]P4(f7(x1111)) % 0.56/0.65 [112]P4(f11(x1121)) % 0.56/0.65 [113]P7(f7(x1131)) % 0.56/0.65 [114]P8(f7(x1141)) % 0.56/0.65 [115]P13(f7(x1151)) % 0.56/0.65 [116]P9(f7(x1161)) % 0.56/0.65 [117]P12(f7(x1171)) % 0.56/0.65 [120]E(f31(a1,x1201),a1) % 0.56/0.65 [121]E(f31(x1211,a1),x1211) % 0.56/0.65 [123]P6(f15(x1231),x1231) % 0.56/0.65 [124]P6(f7(x1241),f32(x1241)) % 0.56/0.65 [125]P6(f11(x1251),f32(x1251)) % 0.56/0.65 [134]~P4(f32(x1341)) % 0.56/0.65 [126]P18(f31(x1261,x1262),x1261) % 0.56/0.65 [136]~P4(x1361)+E(x1361,a1) % 0.56/0.65 [137]~P4(x1371)+P1(x1371) % 0.56/0.65 [138]~P1(x1381)+P2(x1381) % 0.56/0.65 [139]~P4(x1391)+P2(x1391) % 0.56/0.65 [140]~P1(x1401)+P3(x1401) % 0.56/0.65 [141]~P4(x1411)+P3(x1411) % 0.56/0.65 [142]~P4(x1421)+P7(x1421) % 0.56/0.65 [143]~P4(x1431)+P8(x1431) % 0.56/0.65 [144]~P4(x1441)+P13(x1441) % 0.56/0.65 [145]P4(x1451)+P7(f16(x1451)) % 0.56/0.65 [151]P4(x1511)+~P4(f30(x1511)) % 0.56/0.65 [152]P4(x1521)+~P4(f16(x1521)) % 0.56/0.65 [155]P4(x1551)+P6(f30(x1551),f32(x1551)) % 0.56/0.65 [156]P4(x1561)+P6(f16(x1561),f32(x1561)) % 0.56/0.65 [154]~P4(x1541)+~P11(x1542,x1541) % 0.56/0.65 [164]~P11(x1641,x1642)+P6(x1641,x1642) % 0.56/0.65 [170]~P11(x1702,x1701)+~P11(x1701,x1702) % 0.56/0.65 [165]~P7(x1651)+P7(f31(x1651,x1652)) % 0.56/0.65 [167]~P18(x1671,x1672)+P6(x1671,f32(x1672)) % 0.56/0.65 [171]P18(x1711,x1712)+~P6(x1711,f32(x1712)) % 0.56/0.65 [147]~P2(x1471)+~P3(x1471)+P1(x1471) % 0.56/0.65 [150]~P1(x1501)+~P4(x1501)+P9(x1501) % 0.56/0.65 [159]~P1(x1591)+P9(x1591)+~P6(x1591,a29) % 0.56/0.65 [146]~P4(x1462)+~P4(x1461)+E(x1461,x1462) % 0.56/0.65 [160]~P6(x1601,x1602)+P1(x1601)+~P1(x1602) % 0.56/0.65 [161]~P6(x1611,x1612)+P2(x1611)+~P1(x1612) % 0.56/0.65 [162]~P6(x1621,x1622)+P3(x1621)+~P1(x1622) % 0.56/0.65 [163]~P18(x1631,x1632)+P7(x1631)+~P7(x1632) % 0.56/0.65 [166]~P6(x1662,x1661)+P4(x1661)+P11(x1662,x1661) % 0.56/0.65 [168]P7(x1681)+~P7(x1682)+~P6(x1681,f32(x1682)) % 0.56/0.65 [169]~P13(x1692)+~P13(x1691)+P13(f31(x1691,x1692)) % 0.56/0.65 [172]~P4(x1721)+~P11(x1722,x1723)+~P6(x1723,f32(x1721)) % 0.56/0.65 [173]P6(x1731,x1732)+~P11(x1731,x1733)+~P6(x1733,f32(x1732)) % 0.56/0.65 [153]~P4(x1531)+~P8(x1531)+~P13(x1531)+P12(x1531) % 0.56/0.65 %EqnAxiom % 0.56/0.65 [1]E(x11,x11) % 0.56/0.65 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.65 [4]~E(x41,x42)+E(f7(x41),f7(x42)) % 0.56/0.65 [5]~E(x51,x52)+E(f32(x51),f32(x52)) % 0.56/0.65 [6]~E(x61,x62)+E(f30(x61),f30(x62)) % 0.56/0.65 [7]~E(x71,x72)+E(f16(x71),f16(x72)) % 0.56/0.65 [8]~E(x81,x82)+E(f11(x81),f11(x82)) % 0.56/0.65 [9]~E(x91,x92)+E(f31(x91,x93),f31(x92,x93)) % 0.56/0.65 [10]~E(x101,x102)+E(f31(x103,x101),f31(x103,x102)) % 0.56/0.65 [11]~E(x111,x112)+E(f15(x111),f15(x112)) % 0.56/0.65 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 0.56/0.65 [13]P6(x132,x133)+~E(x131,x132)+~P6(x131,x133) % 0.56/0.65 [14]P6(x143,x142)+~E(x141,x142)+~P6(x143,x141) % 0.56/0.65 [15]P11(x152,x153)+~E(x151,x152)+~P11(x151,x153) % 0.56/0.65 [16]P11(x163,x162)+~E(x161,x162)+~P11(x163,x161) % 0.56/0.65 [17]~P7(x171)+P7(x172)+~E(x171,x172) % 0.56/0.65 [18]~P3(x181)+P3(x182)+~E(x181,x182) % 0.56/0.65 [19]P18(x192,x193)+~E(x191,x192)+~P18(x191,x193) % 0.56/0.65 [20]P18(x203,x202)+~E(x201,x202)+~P18(x203,x201) % 0.56/0.65 [21]~P4(x211)+P4(x212)+~E(x211,x212) % 0.56/0.65 [22]~P13(x221)+P13(x222)+~E(x221,x222) % 0.56/0.65 [23]~P2(x231)+P2(x232)+~E(x231,x232) % 0.56/0.65 [24]~P9(x241)+P9(x242)+~E(x241,x242) % 0.56/0.65 [25]~P8(x251)+P8(x252)+~E(x251,x252) % 0.56/0.65 [26]~P12(x261)+P12(x262)+~E(x261,x262) % 0.56/0.65 [27]~P16(x271)+P16(x272)+~E(x271,x272) % 0.56/0.65 [28]~P14(x281)+P14(x282)+~E(x281,x282) % 0.56/0.65 [29]~P15(x291)+P15(x292)+~E(x291,x292) % 0.56/0.65 [30]~P5(x301)+P5(x302)+~E(x301,x302) % 0.56/0.65 [31]~P10(x311)+P10(x312)+~E(x311,x312) % 0.56/0.65 [32]~P17(x321)+P17(x322)+~E(x321,x322) % 0.56/0.65 % 0.56/0.65 %------------------------------------------- % 0.56/0.65 cnf(174,plain, % 0.56/0.65 ($false), % 0.56/0.65 inference(scs_inference,[],[67,135,165]), % 0.56/0.65 ['proof']). % 0.56/0.65 % SZS output end Proof % 0.56/0.65 % Total time :0.000000s %------------------------------------------------------------------------------