%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU295+3 : 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 : n029.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 15:02:19 EDT 2024 % Result : Theorem 0.62s 0.64s % Output : CNFRefutation 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU295+3 : 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 % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 21 15:09:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.49/0.57 start to proof:theBenchmark % 0.54/0.62 %------------------------------------------- % 0.54/0.62 % File :CSE---1.7 % 0.54/0.62 % Problem :theBenchmark % 0.54/0.62 % Transform :cnf % 0.54/0.62 % Format :tptp:raw % 0.54/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.62 % 0.54/0.62 % Result :Theorem 0.000000s % 0.54/0.62 % Output :CNFRefutation 0.000000s % 0.54/0.62 %------------------------------------------- % 0.54/0.62 %------------------------------------------------------------------------------ % 0.54/0.62 % File : SEU295+3 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.62 % Domain : Set theory % 0.54/0.62 % Problem : Finite sets, theorem 15 % 0.54/0.62 % Version : [Urb06] axioms : Especial. % 0.54/0.62 % English : % 0.54/0.62 % 0.54/0.62 % Refs : [Dar90] Darmochwal (1990), Finite Sets % 0.54/0.62 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.54/0.62 % Source : [Urb06] % 0.54/0.62 % Names : finset_1__t15_finset_1 [Urb06] % 0.54/0.62 % 0.54/0.62 % Status : Theorem % 0.54/0.62 % Rating : 0.03 v8.1.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.14 v5.3.0, 0.15 v5.2.0, 0.00 v3.2.0 % 0.54/0.62 % Syntax : Number of formulae : 62 ( 11 unt; 0 def) % 0.54/0.62 % Number of atoms : 185 ( 5 equ) % 0.54/0.62 % Maximal formula atoms : 10 ( 2 avg) % 0.54/0.62 % Number of connectives : 140 ( 17 ~; 1 |; 95 &) % 0.54/0.62 % ( 1 <=>; 26 =>; 0 <=; 0 <~>) % 0.54/0.62 % Maximal formula depth : 12 ( 4 avg) % 0.54/0.62 % Maximal term depth : 2 ( 1 avg) % 0.54/0.62 % Number of predicates : 19 ( 18 usr; 0 prp; 1-2 aty) % 0.54/0.62 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty) % 0.54/0.62 % Number of variables : 83 ( 57 !; 26 ?) % 0.54/0.62 % SPC : FOF_THM_RFO_SEQ % 0.54/0.62 % 0.54/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.54/0.62 % library, www.mizar.org % 0.54/0.62 %------------------------------------------------------------------------------ % 0.54/0.62 fof(antisymmetry_r2_hidden,axiom, % 0.54/0.62 ! [A,B] : % 0.54/0.62 ( in(A,B) % 0.54/0.62 => ~ in(B,A) ) ). % 0.54/0.62 % 0.54/0.62 fof(cc1_arytm_3,axiom, % 0.54/0.62 ! [A] : % 0.54/0.62 ( ordinal(A) % 0.54/0.62 => ! [B] : % 0.54/0.62 ( element(B,A) % 0.54/0.62 => ( epsilon_transitive(B) % 0.54/0.62 & epsilon_connected(B) % 0.54/0.62 & ordinal(B) ) ) ) ). % 0.54/0.62 % 0.54/0.62 fof(cc1_finset_1,axiom, % 0.54/0.62 ! [A] : % 0.54/0.62 ( empty(A) % 0.54/0.62 => finite(A) ) ). % 0.54/0.62 % 0.54/0.62 fof(cc1_funct_1,axiom, % 0.54/0.62 ! [A] : % 0.54/0.62 ( empty(A) % 0.54/0.62 => function(A) ) ). % 0.54/0.62 % 0.54/0.62 fof(cc1_ordinal1,axiom, % 0.54/0.62 ! [A] : % 0.54/0.62 ( ordinal(A) % 0.54/0.62 => ( epsilon_transitive(A) % 0.54/0.62 & epsilon_connected(A) ) ) ). % 0.54/0.62 % 0.54/0.63 fof(cc1_relat_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( empty(A) % 0.54/0.63 => relation(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(cc2_arytm_3,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( ( empty(A) % 0.54/0.63 & ordinal(A) ) % 0.54/0.63 => ( epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) % 0.54/0.63 & natural(A) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(cc2_finset_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( finite(A) % 0.54/0.63 => ! [B] : % 0.54/0.63 ( element(B,powerset(A)) % 0.54/0.63 => finite(B) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(cc2_funct_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( ( relation(A) % 0.54/0.63 & empty(A) % 0.54/0.63 & function(A) ) % 0.54/0.63 => ( relation(A) % 0.54/0.63 & function(A) % 0.54/0.63 & one_to_one(A) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(cc2_ordinal1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( ( epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) ) % 0.54/0.63 => ordinal(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(cc3_ordinal1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( empty(A) % 0.54/0.63 => ( epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(cc4_arytm_3,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( element(A,positive_rationals) % 0.54/0.63 => ( ordinal(A) % 0.54/0.63 => ( epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) % 0.54/0.63 & natural(A) ) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(commutativity_k3_xboole_0,axiom, % 0.54/0.63 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 0.54/0.63 % 0.54/0.63 fof(existence_m1_subset_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ? [B] : element(B,A) ). % 0.54/0.63 % 0.54/0.63 fof(fc10_finset_1,axiom, % 0.54/0.63 ! [A,B] : % 0.54/0.63 ( finite(B) % 0.54/0.63 => finite(set_intersection2(A,B)) ) ). % 0.54/0.63 % 0.54/0.63 fof(fc11_finset_1,axiom, % 0.54/0.63 ! [A,B] : % 0.54/0.63 ( finite(A) % 0.54/0.63 => finite(set_intersection2(A,B)) ) ). % 0.54/0.63 % 0.54/0.63 fof(fc12_relat_1,axiom, % 0.54/0.63 ( empty(empty_set) % 0.54/0.63 & relation(empty_set) % 0.54/0.63 & relation_empty_yielding(empty_set) ) ). % 0.54/0.63 % 0.54/0.63 fof(fc1_relat_1,axiom, % 0.54/0.63 ! [A,B] : % 0.54/0.63 ( ( relation(A) % 0.54/0.63 & relation(B) ) % 0.54/0.63 => relation(set_intersection2(A,B)) ) ). % 0.54/0.63 % 0.54/0.63 fof(fc1_subset_1,axiom, % 0.54/0.63 ! [A] : ~ empty(powerset(A)) ). % 0.54/0.63 % 0.54/0.63 fof(fc1_xboole_0,axiom, % 0.54/0.63 empty(empty_set) ). % 0.54/0.63 % 0.54/0.63 fof(fc2_ordinal1,axiom, % 0.54/0.63 ( relation(empty_set) % 0.54/0.63 & relation_empty_yielding(empty_set) % 0.54/0.63 & function(empty_set) % 0.54/0.63 & one_to_one(empty_set) % 0.54/0.63 & empty(empty_set) % 0.54/0.63 & epsilon_transitive(empty_set) % 0.54/0.63 & epsilon_connected(empty_set) % 0.54/0.63 & ordinal(empty_set) ) ). % 0.54/0.63 % 0.54/0.63 fof(fc4_relat_1,axiom, % 0.54/0.63 ( empty(empty_set) % 0.54/0.63 & relation(empty_set) ) ). % 0.54/0.63 % 0.54/0.63 fof(fc8_arytm_3,axiom, % 0.54/0.63 ~ empty(positive_rationals) ). % 0.54/0.63 % 0.54/0.63 fof(idempotence_k3_xboole_0,axiom, % 0.54/0.63 ! [A,B] : set_intersection2(A,A) = A ). % 0.54/0.63 % 0.54/0.63 fof(rc1_arytm_3,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( ~ empty(A) % 0.54/0.63 & epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) % 0.54/0.63 & natural(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_finset_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( ~ empty(A) % 0.54/0.63 & finite(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_funcop_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( relation(A) % 0.54/0.63 & function(A) % 0.54/0.63 & function_yielding(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_funct_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( relation(A) % 0.54/0.63 & function(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_ordinal1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_ordinal2,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) % 0.54/0.63 & being_limit_ordinal(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_relat_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( empty(A) % 0.54/0.63 & relation(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_subset_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( ~ empty(A) % 0.54/0.63 => ? [B] : % 0.54/0.63 ( element(B,powerset(A)) % 0.54/0.63 & ~ empty(B) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc1_xboole_0,axiom, % 0.54/0.63 ? [A] : empty(A) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_arytm_3,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( element(A,positive_rationals) % 0.54/0.63 & ~ empty(A) % 0.54/0.63 & epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_finset_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ? [B] : % 0.54/0.63 ( element(B,powerset(A)) % 0.54/0.63 & empty(B) % 0.54/0.63 & relation(B) % 0.54/0.63 & function(B) % 0.54/0.63 & one_to_one(B) % 0.54/0.63 & epsilon_transitive(B) % 0.54/0.63 & epsilon_connected(B) % 0.54/0.63 & ordinal(B) % 0.54/0.63 & natural(B) % 0.54/0.63 & finite(B) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_funct_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( relation(A) % 0.54/0.63 & empty(A) % 0.54/0.63 & function(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_ordinal1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( relation(A) % 0.54/0.63 & function(A) % 0.54/0.63 & one_to_one(A) % 0.54/0.63 & empty(A) % 0.54/0.63 & epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_ordinal2,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( relation(A) % 0.54/0.63 & function(A) % 0.54/0.63 & transfinite_sequence(A) % 0.54/0.63 & ordinal_yielding(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_relat_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( ~ empty(A) % 0.54/0.63 & relation(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_subset_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ? [B] : % 0.54/0.63 ( element(B,powerset(A)) % 0.54/0.63 & empty(B) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc2_xboole_0,axiom, % 0.54/0.63 ? [A] : ~ empty(A) ). % 0.54/0.63 % 0.54/0.63 fof(rc3_arytm_3,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( element(A,positive_rationals) % 0.54/0.63 & empty(A) % 0.54/0.63 & epsilon_transitive(A) % 0.54/0.63 & epsilon_connected(A) % 0.54/0.63 & ordinal(A) % 0.54/0.63 & natural(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc3_finset_1,axiom, % 0.54/0.63 ! [A] : % 0.54/0.63 ( ~ empty(A) % 0.54/0.63 => ? [B] : % 0.54/0.63 ( element(B,powerset(A)) % 0.54/0.63 & ~ empty(B) % 0.54/0.63 & finite(B) ) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc3_funct_1,axiom, % 0.54/0.63 ? [A] : % 0.54/0.63 ( relation(A) % 0.54/0.63 & function(A) % 0.54/0.63 & one_to_one(A) ) ). % 0.54/0.63 % 0.54/0.63 fof(rc3_ordinal1,axiom, % 0.62/0.63 ? [A] : % 0.62/0.63 ( ~ empty(A) % 0.62/0.63 & epsilon_transitive(A) % 0.62/0.63 & epsilon_connected(A) % 0.62/0.63 & ordinal(A) ) ). % 0.62/0.63 % 0.62/0.63 fof(rc3_relat_1,axiom, % 0.62/0.63 ? [A] : % 0.62/0.63 ( relation(A) % 0.62/0.63 & relation_empty_yielding(A) ) ). % 0.62/0.63 % 0.62/0.63 fof(rc4_funct_1,axiom, % 0.62/0.63 ? [A] : % 0.62/0.63 ( relation(A) % 0.62/0.63 & relation_empty_yielding(A) % 0.62/0.63 & function(A) ) ). % 0.62/0.63 % 0.62/0.63 fof(rc4_ordinal1,axiom, % 0.62/0.63 ? [A] : % 0.62/0.63 ( relation(A) % 0.62/0.63 & function(A) % 0.62/0.64 & transfinite_sequence(A) ) ). % 0.62/0.64 % 0.62/0.64 fof(rc5_funct_1,axiom, % 0.62/0.64 ? [A] : % 0.62/0.64 ( relation(A) % 0.62/0.64 & relation_non_empty(A) % 0.62/0.64 & function(A) ) ). % 0.62/0.64 % 0.62/0.64 fof(reflexivity_r1_tarski,axiom, % 0.62/0.64 ! [A,B] : subset(A,A) ). % 0.62/0.64 % 0.62/0.64 fof(t13_finset_1,axiom, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ( ( subset(A,B) % 0.62/0.64 & finite(B) ) % 0.62/0.64 => finite(A) ) ). % 0.62/0.64 % 0.62/0.64 fof(t15_finset_1,conjecture, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ( finite(A) % 0.62/0.64 => finite(set_intersection2(A,B)) ) ). % 0.62/0.64 % 0.62/0.64 fof(t17_xboole_1,axiom, % 0.62/0.64 ! [A,B] : subset(set_intersection2(A,B),A) ). % 0.62/0.64 % 0.62/0.64 fof(t1_subset,axiom, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ( in(A,B) % 0.62/0.64 => element(A,B) ) ). % 0.62/0.64 % 0.62/0.64 fof(t2_boole,axiom, % 0.62/0.64 ! [A] : set_intersection2(A,empty_set) = empty_set ). % 0.62/0.64 % 0.62/0.64 fof(t2_subset,axiom, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ( element(A,B) % 0.62/0.64 => ( empty(B) % 0.62/0.64 | in(A,B) ) ) ). % 0.62/0.64 % 0.62/0.64 fof(t3_subset,axiom, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ( element(A,powerset(B)) % 0.62/0.64 <=> subset(A,B) ) ). % 0.62/0.64 % 0.62/0.64 fof(t4_subset,axiom, % 0.62/0.64 ! [A,B,C] : % 0.62/0.64 ( ( in(A,B) % 0.62/0.64 & element(B,powerset(C)) ) % 0.62/0.64 => element(A,C) ) ). % 0.62/0.64 % 0.62/0.64 fof(t5_subset,axiom, % 0.62/0.64 ! [A,B,C] : % 0.62/0.64 ~ ( in(A,B) % 0.62/0.64 & element(B,powerset(C)) % 0.62/0.64 & empty(C) ) ). % 0.62/0.64 % 0.62/0.64 fof(t6_boole,axiom, % 0.62/0.64 ! [A] : % 0.62/0.64 ( empty(A) % 0.62/0.64 => A = empty_set ) ). % 0.62/0.64 % 0.62/0.64 fof(t7_boole,axiom, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ~ ( in(A,B) % 0.62/0.64 & empty(B) ) ). % 0.62/0.64 % 0.62/0.64 fof(t8_boole,axiom, % 0.62/0.64 ! [A,B] : % 0.62/0.64 ~ ( empty(A) % 0.62/0.64 & A != B % 0.62/0.64 & empty(B) ) ). % 0.62/0.64 % 0.62/0.64 %------------------------------------------------------------------------------ % 0.62/0.64 %------------------------------------------- % 0.62/0.64 % Proof found % 0.62/0.64 % SZS status Theorem for theBenchmark % 0.62/0.64 % SZS output start Proof % 0.62/0.64 %ClaNum:175(EqnAxiom:32) % 0.62/0.64 %VarNum:142(SingletonVarNum:75) % 0.62/0.64 %MaxLitNum:4 % 0.62/0.64 %MaxfuncDepth:1 % 0.62/0.64 %SharedTerms:105 % 0.62/0.64 %goalClause: 67 136 % 0.62/0.64 %singleGoalClaCount:2 % 0.62/0.64 [33]P1(a1) % 0.62/0.64 [34]P1(a2) % 0.62/0.64 [35]P1(a23) % 0.62/0.64 [36]P1(a27) % 0.62/0.64 [37]P1(a3) % 0.62/0.64 [38]P1(a5) % 0.62/0.64 [39]P1(a8) % 0.62/0.64 [40]P1(a13) % 0.62/0.64 [41]P2(a1) % 0.62/0.64 [42]P2(a2) % 0.62/0.64 [43]P2(a23) % 0.62/0.64 [44]P2(a27) % 0.62/0.64 [45]P2(a3) % 0.62/0.64 [46]P2(a5) % 0.62/0.64 [47]P2(a8) % 0.62/0.64 [48]P2(a13) % 0.62/0.64 [49]P3(a1) % 0.62/0.64 [50]P3(a2) % 0.62/0.64 [51]P3(a23) % 0.62/0.64 [52]P3(a27) % 0.62/0.64 [53]P3(a3) % 0.62/0.64 [54]P3(a5) % 0.62/0.64 [55]P3(a8) % 0.62/0.64 [56]P3(a13) % 0.62/0.64 [60]P4(a1) % 0.62/0.64 [61]P4(a28) % 0.62/0.64 [62]P4(a4) % 0.62/0.64 [63]P4(a6) % 0.62/0.64 [64]P4(a5) % 0.62/0.64 [65]P4(a8) % 0.62/0.64 [66]P7(a24) % 0.62/0.64 [67]P7(a17) % 0.62/0.64 [68]P8(a1) % 0.62/0.64 [69]P8(a25) % 0.62/0.64 [70]P8(a26) % 0.62/0.64 [71]P8(a6) % 0.62/0.64 [72]P8(a5) % 0.62/0.64 [73]P8(a9) % 0.62/0.64 [74]P8(a14) % 0.62/0.64 [75]P8(a18) % 0.62/0.64 [76]P8(a20) % 0.62/0.64 [77]P8(a21) % 0.62/0.64 [80]P13(a1) % 0.62/0.64 [81]P13(a25) % 0.62/0.64 [82]P13(a26) % 0.62/0.64 [83]P13(a28) % 0.62/0.64 [84]P13(a6) % 0.62/0.64 [85]P13(a5) % 0.62/0.64 [86]P13(a9) % 0.62/0.64 [87]P13(a10) % 0.62/0.64 [88]P13(a14) % 0.62/0.64 [89]P13(a19) % 0.62/0.64 [90]P13(a18) % 0.62/0.64 [91]P13(a20) % 0.62/0.64 [92]P13(a21) % 0.62/0.64 [93]P9(a2) % 0.62/0.64 [94]P9(a8) % 0.62/0.64 [95]P12(a1) % 0.62/0.64 [96]P12(a5) % 0.62/0.64 [97]P12(a14) % 0.62/0.64 [99]P15(a1) % 0.62/0.64 [100]P15(a19) % 0.62/0.64 [101]P15(a18) % 0.62/0.64 [102]P10(a25) % 0.62/0.64 [103]P5(a27) % 0.62/0.64 [104]P16(a9) % 0.62/0.64 [105]P16(a20) % 0.62/0.64 [106]P14(a9) % 0.62/0.64 [107]P17(a21) % 0.62/0.64 [118]P6(a3,a29) % 0.62/0.64 [119]P6(a8,a29) % 0.62/0.64 [128]~P4(a29) % 0.62/0.64 [129]~P4(a2) % 0.62/0.64 [130]~P4(a24) % 0.62/0.64 [131]~P4(a3) % 0.62/0.64 [132]~P4(a10) % 0.62/0.64 [133]~P4(a12) % 0.62/0.64 [134]~P4(a13) % 0.62/0.64 [136]~P7(f31(a17,a22)) % 0.62/0.64 [121]P18(x1211,x1211) % 0.62/0.64 [108]P1(f7(x1081)) % 0.62/0.64 [109]P2(f7(x1091)) % 0.62/0.64 [110]P3(f7(x1101)) % 0.62/0.64 [111]P4(f7(x1111)) % 0.62/0.64 [112]P4(f11(x1121)) % 0.62/0.64 [113]P7(f7(x1131)) % 0.62/0.64 [114]P8(f7(x1141)) % 0.62/0.64 [115]P13(f7(x1151)) % 0.62/0.64 [116]P9(f7(x1161)) % 0.62/0.64 [117]P12(f7(x1171)) % 0.62/0.64 [120]E(f31(x1201,a1),a1) % 0.62/0.64 [122]E(f31(x1221,x1221),x1221) % 0.62/0.64 [123]P6(f15(x1231),x1231) % 0.62/0.64 [124]P6(f7(x1241),f32(x1241)) % 0.62/0.64 [125]P6(f11(x1251),f32(x1251)) % 0.62/0.64 [135]~P4(f32(x1351)) % 0.62/0.64 [126]E(f31(x1261,x1262),f31(x1262,x1261)) % 0.62/0.64 [127]P18(f31(x1271,x1272),x1271) % 0.62/0.64 [137]~P4(x1371)+E(x1371,a1) % 0.62/0.64 [138]~P4(x1381)+P1(x1381) % 0.62/0.64 [139]~P1(x1391)+P2(x1391) % 0.62/0.64 [140]~P4(x1401)+P2(x1401) % 0.62/0.64 [141]~P1(x1411)+P3(x1411) % 0.62/0.64 [142]~P4(x1421)+P3(x1421) % 0.62/0.64 [143]~P4(x1431)+P7(x1431) % 0.62/0.64 [144]~P4(x1441)+P8(x1441) % 0.62/0.64 [145]~P4(x1451)+P13(x1451) % 0.62/0.64 [146]P4(x1461)+P7(f16(x1461)) % 0.62/0.64 [152]P4(x1521)+~P4(f30(x1521)) % 0.62/0.64 [153]P4(x1531)+~P4(f16(x1531)) % 0.62/0.64 [156]P4(x1561)+P6(f30(x1561),f32(x1561)) % 0.62/0.64 [157]P4(x1571)+P6(f16(x1571),f32(x1571)) % 0.62/0.64 [155]~P4(x1551)+~P11(x1552,x1551) % 0.62/0.64 [165]~P11(x1651,x1652)+P6(x1651,x1652) % 0.62/0.64 [172]~P11(x1722,x1721)+~P11(x1721,x1722) % 0.62/0.64 [166]~P7(x1662)+P7(f31(x1661,x1662)) % 0.62/0.64 [167]~P7(x1671)+P7(f31(x1671,x1672)) % 0.62/0.64 [169]~P18(x1691,x1692)+P6(x1691,f32(x1692)) % 0.62/0.64 [173]P18(x1731,x1732)+~P6(x1731,f32(x1732)) % 0.62/0.64 [148]~P2(x1481)+~P3(x1481)+P1(x1481) % 0.62/0.64 [151]~P1(x1511)+~P4(x1511)+P9(x1511) % 0.62/0.64 [160]~P1(x1601)+P9(x1601)+~P6(x1601,a29) % 0.62/0.64 [147]~P4(x1472)+~P4(x1471)+E(x1471,x1472) % 0.62/0.64 [161]~P6(x1611,x1612)+P1(x1611)+~P1(x1612) % 0.62/0.64 [162]~P6(x1621,x1622)+P2(x1621)+~P1(x1622) % 0.62/0.64 [163]~P6(x1631,x1632)+P3(x1631)+~P1(x1632) % 0.62/0.64 [164]~P18(x1641,x1642)+P7(x1641)+~P7(x1642) % 0.62/0.64 [168]~P6(x1682,x1681)+P4(x1681)+P11(x1682,x1681) % 0.62/0.64 [170]P7(x1701)+~P7(x1702)+~P6(x1701,f32(x1702)) % 0.62/0.64 [171]~P13(x1712)+~P13(x1711)+P13(f31(x1711,x1712)) % 0.62/0.64 [174]~P4(x1741)+~P11(x1742,x1743)+~P6(x1743,f32(x1741)) % 0.62/0.64 [175]P6(x1751,x1752)+~P11(x1751,x1753)+~P6(x1753,f32(x1752)) % 0.62/0.64 [154]~P4(x1541)+~P8(x1541)+~P13(x1541)+P12(x1541) % 0.62/0.64 %EqnAxiom % 0.62/0.64 [1]E(x11,x11) % 0.62/0.64 [2]E(x22,x21)+~E(x21,x22) % 0.62/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.62/0.64 [4]~E(x41,x42)+E(f7(x41),f7(x42)) % 0.62/0.64 [5]~E(x51,x52)+E(f32(x51),f32(x52)) % 0.62/0.64 [6]~E(x61,x62)+E(f16(x61),f16(x62)) % 0.62/0.64 [7]~E(x71,x72)+E(f30(x71),f30(x72)) % 0.62/0.64 [8]~E(x81,x82)+E(f11(x81),f11(x82)) % 0.62/0.64 [9]~E(x91,x92)+E(f31(x91,x93),f31(x92,x93)) % 0.62/0.64 [10]~E(x101,x102)+E(f31(x103,x101),f31(x103,x102)) % 0.62/0.64 [11]~E(x111,x112)+E(f15(x111),f15(x112)) % 0.62/0.64 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 0.62/0.64 [13]P6(x132,x133)+~E(x131,x132)+~P6(x131,x133) % 0.62/0.64 [14]P6(x143,x142)+~E(x141,x142)+~P6(x143,x141) % 0.62/0.64 [15]P11(x152,x153)+~E(x151,x152)+~P11(x151,x153) % 0.62/0.64 [16]P11(x163,x162)+~E(x161,x162)+~P11(x163,x161) % 0.62/0.64 [17]~P7(x171)+P7(x172)+~E(x171,x172) % 0.62/0.64 [18]~P2(x181)+P2(x182)+~E(x181,x182) % 0.62/0.64 [19]~P9(x191)+P9(x192)+~E(x191,x192) % 0.62/0.64 [20]~P4(x201)+P4(x202)+~E(x201,x202) % 0.62/0.64 [21]~P13(x211)+P13(x212)+~E(x211,x212) % 0.62/0.64 [22]~P8(x221)+P8(x222)+~E(x221,x222) % 0.62/0.64 [23]~P3(x231)+P3(x232)+~E(x231,x232) % 0.62/0.64 [24]P18(x242,x243)+~E(x241,x242)+~P18(x241,x243) % 0.62/0.64 [25]P18(x253,x252)+~E(x251,x252)+~P18(x253,x251) % 0.62/0.64 [26]~P16(x261)+P16(x262)+~E(x261,x262) % 0.62/0.64 [27]~P12(x271)+P12(x272)+~E(x271,x272) % 0.62/0.64 [28]~P5(x281)+P5(x282)+~E(x281,x282) % 0.62/0.64 [29]~P10(x291)+P10(x292)+~E(x291,x292) % 0.62/0.64 [30]~P17(x301)+P17(x302)+~E(x301,x302) % 0.62/0.64 [31]~P15(x311)+P15(x312)+~E(x311,x312) % 0.62/0.64 [32]~P14(x321)+P14(x322)+~E(x321,x322) % 0.62/0.64 % 0.62/0.64 %------------------------------------------- % 0.62/0.64 cnf(176,plain, % 0.62/0.64 ($false), % 0.62/0.64 inference(scs_inference,[],[67,136,167]), % 0.62/0.64 ['proof']). % 0.62/0.64 % SZS output end Proof % 0.62/0.64 % Total time :0.000000s %------------------------------------------------------------------------------