%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU153+2 : TPTP v8.2.0. Released v3.3.0. % 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 15:01:23 EDT 2024 % Result : Theorem 0.77s 0.78s % Output : CNFRefutation 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU153+2 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.12 % 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 14:17:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.65/0.76 %------------------------------------------- % 0.65/0.76 % File :CSE---1.7 % 0.65/0.76 % Problem :theBenchmark % 0.65/0.76 % Transform :cnf % 0.65/0.76 % Format :tptp:raw % 0.65/0.76 % Command :java -jar mcs_scs.jar %d %s % 0.65/0.76 % 0.65/0.76 % Result :Theorem 0.170000s % 0.65/0.76 % Output :CNFRefutation 0.170000s % 0.65/0.76 %------------------------------------------- % 0.65/0.76 %------------------------------------------------------------------------------ % 0.65/0.76 % File : SEU153+2 : TPTP v8.2.0. Released v3.3.0. % 0.65/0.76 % Domain : Set theory % 0.65/0.76 % Problem : MPTP chainy problem l25_zfmisc_1 % 0.65/0.76 % Version : [Urb07] axioms : Especial. % 0.65/0.76 % English : % 0.65/0.76 % 0.65/0.76 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.65/0.76 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.65/0.76 % Source : [Urb07] % 0.65/0.76 % Names : chainy-l25_zfmisc_1 [Urb07] % 0.65/0.76 % 0.65/0.76 % Status : Theorem % 0.65/0.76 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.11 v3.3.0 % 0.65/0.76 % Syntax : Number of formulae : 76 ( 31 unt; 0 def) % 0.65/0.76 % Number of atoms : 149 ( 49 equ) % 0.65/0.76 % Maximal formula atoms : 6 ( 1 avg) % 0.65/0.76 % Number of connectives : 101 ( 28 ~; 4 |; 23 &) % 0.65/0.76 % ( 23 <=>; 23 =>; 0 <=; 0 <~>) % 0.65/0.76 % Maximal formula depth : 9 ( 4 avg) % 0.65/0.76 % Maximal term depth : 3 ( 1 avg) % 0.65/0.76 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty) % 0.65/0.76 % Number of functors : 7 ( 7 usr; 1 con; 0-2 aty) % 0.65/0.76 % Number of variables : 150 ( 146 !; 4 ?) % 0.65/0.76 % SPC : FOF_THM_RFO_SEQ % 0.65/0.76 % 0.65/0.76 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.65/0.76 % library, www.mizar.org % 0.65/0.76 %------------------------------------------------------------------------------ % 0.65/0.76 fof(antisymmetry_r2_hidden,axiom, % 0.65/0.76 ! [A,B] : % 0.65/0.76 ( in(A,B) % 0.65/0.76 => ~ in(B,A) ) ). % 0.65/0.76 % 0.65/0.76 fof(antisymmetry_r2_xboole_0,axiom, % 0.65/0.76 ! [A,B] : % 0.65/0.76 ( proper_subset(A,B) % 0.65/0.76 => ~ proper_subset(B,A) ) ). % 0.65/0.76 % 0.65/0.76 fof(commutativity_k2_tarski,axiom, % 0.65/0.76 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.65/0.76 % 0.65/0.76 fof(commutativity_k2_xboole_0,axiom, % 0.65/0.76 ! [A,B] : set_union2(A,B) = set_union2(B,A) ). % 0.65/0.76 % 0.65/0.76 fof(commutativity_k3_xboole_0,axiom, % 0.65/0.76 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 0.65/0.76 % 0.65/0.76 fof(d10_xboole_0,axiom, % 0.65/0.76 ! [A,B] : % 0.65/0.76 ( A = B % 0.65/0.77 <=> ( subset(A,B) % 0.65/0.77 & subset(B,A) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d1_tarski,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( B = singleton(A) % 0.65/0.77 <=> ! [C] : % 0.65/0.77 ( in(C,B) % 0.65/0.77 <=> C = A ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d1_xboole_0,axiom, % 0.65/0.77 ! [A] : % 0.65/0.77 ( A = empty_set % 0.65/0.77 <=> ! [B] : ~ in(B,A) ) ). % 0.65/0.77 % 0.65/0.77 fof(d1_zfmisc_1,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( B = powerset(A) % 0.65/0.77 <=> ! [C] : % 0.65/0.77 ( in(C,B) % 0.65/0.77 <=> subset(C,A) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d2_tarski,axiom, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( C = unordered_pair(A,B) % 0.65/0.77 <=> ! [D] : % 0.65/0.77 ( in(D,C) % 0.65/0.77 <=> ( D = A % 0.65/0.77 | D = B ) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d2_xboole_0,axiom, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( C = set_union2(A,B) % 0.65/0.77 <=> ! [D] : % 0.65/0.77 ( in(D,C) % 0.65/0.77 <=> ( in(D,A) % 0.65/0.77 | in(D,B) ) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d3_tarski,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( subset(A,B) % 0.65/0.77 <=> ! [C] : % 0.65/0.77 ( in(C,A) % 0.65/0.77 => in(C,B) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d3_xboole_0,axiom, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( C = set_intersection2(A,B) % 0.65/0.77 <=> ! [D] : % 0.65/0.77 ( in(D,C) % 0.65/0.77 <=> ( in(D,A) % 0.65/0.77 & in(D,B) ) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d4_xboole_0,axiom, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( C = set_difference(A,B) % 0.65/0.77 <=> ! [D] : % 0.65/0.77 ( in(D,C) % 0.65/0.77 <=> ( in(D,A) % 0.65/0.77 & ~ in(D,B) ) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(d7_xboole_0,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( disjoint(A,B) % 0.65/0.77 <=> set_intersection2(A,B) = empty_set ) ). % 0.65/0.77 % 0.65/0.77 fof(d8_xboole_0,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( proper_subset(A,B) % 0.65/0.77 <=> ( subset(A,B) % 0.65/0.77 & A != B ) ) ). % 0.65/0.77 % 0.65/0.77 fof(dt_k1_tarski,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(dt_k1_xboole_0,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(dt_k1_zfmisc_1,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(dt_k2_tarski,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(dt_k2_xboole_0,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(dt_k3_xboole_0,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(dt_k4_xboole_0,axiom, % 0.65/0.77 $true ). % 0.65/0.77 % 0.65/0.77 fof(fc1_xboole_0,axiom, % 0.65/0.77 empty(empty_set) ). % 0.65/0.77 % 0.65/0.77 fof(fc2_xboole_0,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( ~ empty(A) % 0.65/0.77 => ~ empty(set_union2(A,B)) ) ). % 0.65/0.77 % 0.65/0.77 fof(fc3_xboole_0,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( ~ empty(A) % 0.65/0.77 => ~ empty(set_union2(B,A)) ) ). % 0.65/0.77 % 0.65/0.77 fof(idempotence_k2_xboole_0,axiom, % 0.65/0.77 ! [A,B] : set_union2(A,A) = A ). % 0.65/0.77 % 0.65/0.77 fof(idempotence_k3_xboole_0,axiom, % 0.65/0.77 ! [A,B] : set_intersection2(A,A) = A ). % 0.65/0.77 % 0.65/0.77 fof(irreflexivity_r2_xboole_0,axiom, % 0.65/0.77 ! [A,B] : ~ proper_subset(A,A) ). % 0.65/0.77 % 0.65/0.77 fof(l1_zfmisc_1,lemma, % 0.65/0.77 ! [A] : singleton(A) != empty_set ). % 0.65/0.77 % 0.65/0.77 fof(l23_zfmisc_1,lemma, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( in(A,B) % 0.65/0.77 => set_union2(singleton(A),B) = B ) ). % 0.65/0.77 % 0.65/0.77 fof(l25_zfmisc_1,conjecture, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ~ ( disjoint(singleton(A),B) % 0.65/0.77 & in(A,B) ) ). % 0.65/0.77 % 0.65/0.77 fof(l2_zfmisc_1,lemma, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( subset(singleton(A),B) % 0.65/0.77 <=> in(A,B) ) ). % 0.65/0.77 % 0.65/0.77 fof(l32_xboole_1,lemma, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( set_difference(A,B) = empty_set % 0.65/0.77 <=> subset(A,B) ) ). % 0.65/0.77 % 0.65/0.77 fof(l3_zfmisc_1,lemma, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( subset(A,B) % 0.65/0.77 => ( in(C,A) % 0.65/0.77 | subset(A,set_difference(B,singleton(C))) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(l4_zfmisc_1,lemma, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( subset(A,singleton(B)) % 0.65/0.77 <=> ( A = empty_set % 0.65/0.77 | A = singleton(B) ) ) ). % 0.65/0.77 % 0.65/0.77 fof(rc1_xboole_0,axiom, % 0.65/0.77 ? [A] : empty(A) ). % 0.65/0.77 % 0.65/0.77 fof(rc2_xboole_0,axiom, % 0.65/0.77 ? [A] : ~ empty(A) ). % 0.65/0.77 % 0.65/0.77 fof(reflexivity_r1_tarski,axiom, % 0.65/0.77 ! [A,B] : subset(A,A) ). % 0.65/0.77 % 0.65/0.77 fof(symmetry_r1_xboole_0,axiom, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( disjoint(A,B) % 0.65/0.77 => disjoint(B,A) ) ). % 0.65/0.77 % 0.65/0.77 fof(t10_zfmisc_1,lemma, % 0.65/0.77 ! [A,B,C,D] : % 0.65/0.77 ~ ( unordered_pair(A,B) = unordered_pair(C,D) % 0.65/0.77 & A != C % 0.65/0.77 & A != D ) ). % 0.65/0.77 % 0.65/0.77 fof(t12_xboole_1,lemma, % 0.65/0.77 ! [A,B] : % 0.65/0.77 ( subset(A,B) % 0.65/0.77 => set_union2(A,B) = B ) ). % 0.65/0.77 % 0.65/0.77 fof(t17_xboole_1,lemma, % 0.65/0.77 ! [A,B] : subset(set_intersection2(A,B),A) ). % 0.65/0.77 % 0.65/0.77 fof(t19_xboole_1,lemma, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( ( subset(A,B) % 0.65/0.77 & subset(A,C) ) % 0.65/0.77 => subset(A,set_intersection2(B,C)) ) ). % 0.65/0.77 % 0.65/0.77 fof(t1_boole,axiom, % 0.65/0.77 ! [A] : set_union2(A,empty_set) = A ). % 0.65/0.77 % 0.65/0.77 fof(t1_xboole_1,lemma, % 0.65/0.77 ! [A,B,C] : % 0.65/0.77 ( ( subset(A,B) % 0.65/0.77 & subset(B,C) ) % 0.65/0.77 => subset(A,C) ) ). % 0.65/0.77 % 0.65/0.77 fof(t1_zfmisc_1,lemma, % 0.65/0.77 powerset(empty_set) = singleton(empty_set) ). % 0.65/0.77 % 0.65/0.77 fof(t26_xboole_1,lemma, % 0.65/0.77 ! [A,B,C] : % 0.77/0.77 ( subset(A,B) % 0.77/0.77 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ). % 0.77/0.77 % 0.77/0.77 fof(t28_xboole_1,lemma, % 0.77/0.77 ! [A,B] : % 0.77/0.77 ( subset(A,B) % 0.77/0.77 => set_intersection2(A,B) = A ) ). % 0.77/0.77 % 0.77/0.77 fof(t2_boole,axiom, % 0.77/0.77 ! [A] : set_intersection2(A,empty_set) = empty_set ). % 0.77/0.77 % 0.77/0.77 fof(t2_tarski,axiom, % 0.77/0.77 ! [A,B] : % 0.77/0.77 ( ! [C] : % 0.77/0.78 ( in(C,A) % 0.77/0.78 <=> in(C,B) ) % 0.77/0.78 => A = B ) ). % 0.77/0.78 % 0.77/0.78 fof(t2_xboole_1,lemma, % 0.77/0.78 ! [A] : subset(empty_set,A) ). % 0.77/0.78 % 0.77/0.78 fof(t33_xboole_1,lemma, % 0.77/0.78 ! [A,B,C] : % 0.77/0.78 ( subset(A,B) % 0.77/0.78 => subset(set_difference(A,C),set_difference(B,C)) ) ). % 0.77/0.78 % 0.77/0.78 fof(t36_xboole_1,lemma, % 0.77/0.78 ! [A,B] : subset(set_difference(A,B),A) ). % 0.77/0.78 % 0.77/0.78 fof(t37_xboole_1,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ( set_difference(A,B) = empty_set % 0.77/0.78 <=> subset(A,B) ) ). % 0.77/0.78 % 0.77/0.78 fof(t39_xboole_1,lemma, % 0.77/0.78 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ). % 0.77/0.78 % 0.77/0.78 fof(t3_boole,axiom, % 0.77/0.78 ! [A] : set_difference(A,empty_set) = A ). % 0.77/0.78 % 0.77/0.78 fof(t3_xboole_0,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ( ~ ( ~ disjoint(A,B) % 0.77/0.78 & ! [C] : % 0.77/0.78 ~ ( in(C,A) % 0.77/0.78 & in(C,B) ) ) % 0.77/0.78 & ~ ( ? [C] : % 0.77/0.78 ( in(C,A) % 0.77/0.78 & in(C,B) ) % 0.77/0.78 & disjoint(A,B) ) ) ). % 0.77/0.78 % 0.77/0.78 fof(t3_xboole_1,lemma, % 0.77/0.78 ! [A] : % 0.77/0.78 ( subset(A,empty_set) % 0.77/0.78 => A = empty_set ) ). % 0.77/0.78 % 0.77/0.78 fof(t40_xboole_1,lemma, % 0.77/0.78 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ). % 0.77/0.78 % 0.77/0.78 fof(t45_xboole_1,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ( subset(A,B) % 0.77/0.78 => B = set_union2(A,set_difference(B,A)) ) ). % 0.77/0.78 % 0.77/0.78 fof(t48_xboole_1,lemma, % 0.77/0.78 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ). % 0.77/0.78 % 0.77/0.78 fof(t4_boole,axiom, % 0.77/0.78 ! [A] : set_difference(empty_set,A) = empty_set ). % 0.77/0.78 % 0.77/0.78 fof(t4_xboole_0,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ( ~ ( ~ disjoint(A,B) % 0.77/0.78 & ! [C] : ~ in(C,set_intersection2(A,B)) ) % 0.77/0.78 & ~ ( ? [C] : in(C,set_intersection2(A,B)) % 0.77/0.78 & disjoint(A,B) ) ) ). % 0.77/0.78 % 0.77/0.78 fof(t60_xboole_1,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ~ ( subset(A,B) % 0.77/0.78 & proper_subset(B,A) ) ). % 0.77/0.78 % 0.77/0.78 fof(t63_xboole_1,lemma, % 0.77/0.78 ! [A,B,C] : % 0.77/0.78 ( ( subset(A,B) % 0.77/0.78 & disjoint(B,C) ) % 0.77/0.78 => disjoint(A,C) ) ). % 0.77/0.78 % 0.77/0.78 fof(t69_enumset1,lemma, % 0.77/0.78 ! [A] : unordered_pair(A,A) = singleton(A) ). % 0.77/0.78 % 0.77/0.78 fof(t6_boole,axiom, % 0.77/0.78 ! [A] : % 0.77/0.78 ( empty(A) % 0.77/0.78 => A = empty_set ) ). % 0.77/0.78 % 0.77/0.78 fof(t6_zfmisc_1,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ( subset(singleton(A),singleton(B)) % 0.77/0.78 => A = B ) ). % 0.77/0.78 % 0.77/0.78 fof(t7_boole,axiom, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ~ ( in(A,B) % 0.77/0.78 & empty(B) ) ). % 0.77/0.78 % 0.77/0.78 fof(t7_xboole_1,lemma, % 0.77/0.78 ! [A,B] : subset(A,set_union2(A,B)) ). % 0.77/0.78 % 0.77/0.78 fof(t83_xboole_1,lemma, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ( disjoint(A,B) % 0.77/0.78 <=> set_difference(A,B) = A ) ). % 0.77/0.78 % 0.77/0.78 fof(t8_boole,axiom, % 0.77/0.78 ! [A,B] : % 0.77/0.78 ~ ( empty(A) % 0.77/0.78 & A != B % 0.77/0.78 & empty(B) ) ). % 0.77/0.78 % 0.77/0.78 fof(t8_xboole_1,lemma, % 0.77/0.78 ! [A,B,C] : % 0.77/0.78 ( ( subset(A,B) % 0.77/0.78 & subset(C,B) ) % 0.77/0.78 => subset(set_union2(A,C),B) ) ). % 0.77/0.78 % 0.77/0.78 fof(t8_zfmisc_1,lemma, % 0.77/0.78 ! [A,B,C] : % 0.77/0.78 ( singleton(A) = unordered_pair(B,C) % 0.77/0.78 => A = B ) ). % 0.77/0.78 % 0.77/0.78 fof(t9_zfmisc_1,lemma, % 0.77/0.78 ! [A,B,C] : % 0.77/0.78 ( singleton(A) = unordered_pair(B,C) % 0.77/0.78 => B = C ) ). % 0.77/0.78 % 0.77/0.78 %------------------------------------------------------------------------------ % 0.77/0.78 %------------------------------------------- % 0.77/0.78 % Proof found % 0.77/0.78 % SZS status Theorem for theBenchmark % 0.77/0.78 % SZS output start Proof % 0.77/0.78 %ClaNum:156(EqnAxiom:44) % 0.77/0.78 %VarNum:613(SingletonVarNum:236) % 0.77/0.78 %MaxLitNum:4 % 0.77/0.78 %MaxfuncDepth:2 % 0.77/0.78 %SharedTerms:14 % 0.77/0.78 %goalClause: 47 57 % 0.77/0.78 %singleGoalClaCount:2 % 0.77/0.78 [45]P1(a1) % 0.77/0.78 [46]P1(a2) % 0.77/0.78 [47]P3(a4,a3) % 0.77/0.78 [66]~P1(a5) % 0.77/0.78 [52]E(f20(a1,a1),f18(a1)) % 0.77/0.78 [57]P2(f20(a4,a4),a3) % 0.77/0.78 [49]P4(a1,x491) % 0.77/0.78 [53]P4(x531,x531) % 0.77/0.78 [68]~P5(x681,x681) % 0.77/0.78 [48]E(f17(a1,x481),a1) % 0.77/0.78 [50]E(f19(x501,a1),x501) % 0.77/0.78 [51]E(f17(x511,a1),x511) % 0.77/0.78 [54]E(f19(x541,x541),x541) % 0.77/0.78 [67]~E(f20(x671,x671),a1) % 0.77/0.78 [58]E(f17(x581,f17(x581,a1)),a1) % 0.77/0.78 [61]E(f17(x611,f17(x611,x611)),x611) % 0.77/0.78 [55]E(f20(x551,x552),f20(x552,x551)) % 0.77/0.78 [56]E(f19(x561,x562),f19(x562,x561)) % 0.77/0.78 [59]P4(x591,f19(x591,x592)) % 0.77/0.78 [60]P4(f17(x601,x602),x601) % 0.77/0.78 [62]E(f19(x621,f17(x622,x621)),f19(x621,x622)) % 0.77/0.78 [63]E(f17(f19(x631,x632),x632),f17(x631,x632)) % 0.77/0.78 [64]E(f17(x641,f17(x641,x642)),f17(x642,f17(x642,x641))) % 0.77/0.78 [69]~P1(x691)+E(x691,a1) % 0.77/0.78 [73]~P4(x731,a1)+E(x731,a1) % 0.77/0.78 [74]P3(f6(x741),x741)+E(x741,a1) % 0.77/0.78 [72]~E(x721,x722)+P4(x721,x722) % 0.77/0.78 [75]~P3(x752,x751)+~E(x751,a1) % 0.77/0.78 [76]~P5(x761,x762)+~E(x761,x762) % 0.77/0.78 [77]~P1(x771)+~P3(x772,x771) % 0.77/0.78 [82]~P5(x821,x822)+P4(x821,x822) % 0.77/0.78 [83]~P2(x832,x831)+P2(x831,x832) % 0.77/0.78 [92]~P3(x922,x921)+~P3(x921,x922) % 0.77/0.78 [93]~P5(x932,x931)+~P5(x931,x932) % 0.77/0.78 [94]~P4(x942,x941)+~P5(x941,x942) % 0.77/0.78 [79]~P4(x791,x792)+E(f17(x791,x792),a1) % 0.77/0.78 [81]P4(x811,x812)+~E(f17(x811,x812),a1) % 0.77/0.78 [84]~P4(x841,x842)+E(f19(x841,x842),x842) % 0.77/0.78 [85]~P2(x851,x852)+E(f17(x851,x852),x851) % 0.77/0.78 [86]P2(x861,x862)+~E(f17(x861,x862),x861) % 0.77/0.78 [91]~E(x911,a1)+P4(x911,f20(x912,x912)) % 0.77/0.78 [103]P1(x1031)+~P1(f19(x1032,x1031)) % 0.77/0.78 [104]P1(x1041)+~P1(f19(x1041,x1042)) % 0.77/0.78 [105]P4(x1051,x1052)+P3(f11(x1051,x1052),x1051) % 0.77/0.78 [106]P2(x1061,x1062)+P3(f7(x1061,x1062),x1062) % 0.77/0.78 [107]P2(x1071,x1072)+P3(f7(x1071,x1072),x1071) % 0.77/0.78 [115]~P3(x1151,x1152)+P4(f20(x1151,x1151),x1152) % 0.77/0.78 [126]P3(x1261,x1262)+~P4(f20(x1261,x1261),x1262) % 0.77/0.78 [127]P4(x1271,x1272)+~P3(f11(x1271,x1272),x1272) % 0.77/0.78 [136]E(x1361,x1362)+~P4(f20(x1361,x1361),f20(x1362,x1362)) % 0.77/0.78 [114]~P2(x1141,x1142)+E(f17(x1141,f17(x1141,x1142)),a1) % 0.77/0.78 [116]~P4(x1161,x1162)+E(f19(x1161,f17(x1162,x1161)),x1162) % 0.77/0.78 [117]~P4(x1171,x1172)+E(f17(x1171,f17(x1171,x1172)),x1171) % 0.77/0.78 [118]~P3(x1181,x1182)+E(f19(f20(x1181,x1181),x1182),x1182) % 0.77/0.78 [125]P2(x1251,x1252)+~E(f17(x1251,f17(x1251,x1252)),a1) % 0.77/0.78 [141]P2(x1411,x1412)+P3(f10(x1411,x1412),f17(x1411,f17(x1411,x1412))) % 0.77/0.78 [97]E(x971,x972)+~E(f20(x973,x973),f20(x971,x972)) % 0.77/0.78 [98]E(x981,x982)+~E(f20(x981,x981),f20(x982,x983)) % 0.77/0.78 [132]~P4(x1321,x1323)+P4(f17(x1321,x1322),f17(x1323,x1322)) % 0.77/0.78 [143]~P2(x1431,x1432)+~P3(x1433,f17(x1431,f17(x1431,x1432))) % 0.77/0.78 [144]~P4(x1441,x1443)+P4(f17(x1441,f17(x1441,x1442)),f17(x1443,f17(x1443,x1442))) % 0.77/0.78 [70]~P1(x702)+~P1(x701)+E(x701,x702) % 0.77/0.78 [87]P5(x871,x872)+~P4(x871,x872)+E(x871,x872) % 0.77/0.78 [99]~P4(x992,x991)+~P4(x991,x992)+E(x991,x992) % 0.77/0.78 [122]E(f9(x1222,x1221),x1222)+P3(f9(x1222,x1221),x1221)+E(x1221,f20(x1222,x1222)) % 0.77/0.78 [128]E(x1281,f20(x1282,x1282))+~P4(x1281,f20(x1282,x1282))+E(x1281,a1) % 0.77/0.78 [129]E(x1291,x1292)+P3(f8(x1291,x1292),x1292)+P3(f8(x1291,x1292),x1291) % 0.77/0.78 [131]P3(f12(x1312,x1311),x1311)+P4(f12(x1312,x1311),x1312)+E(x1311,f18(x1312)) % 0.77/0.78 [135]~E(f9(x1352,x1351),x1352)+~P3(f9(x1352,x1351),x1351)+E(x1351,f20(x1352,x1352)) % 0.77/0.78 [138]E(x1381,x1382)+~P3(f8(x1381,x1382),x1382)+~P3(f8(x1381,x1382),x1381) % 0.77/0.78 [140]~P3(f12(x1402,x1401),x1401)+~P4(f12(x1402,x1401),x1402)+E(x1401,f18(x1402)) % 0.77/0.78 [108]~P4(x1083,x1082)+P3(x1081,x1082)+~P3(x1081,x1083) % 0.77/0.78 [109]~P4(x1091,x1093)+P4(x1091,x1092)+~P4(x1093,x1092) % 0.77/0.78 [110]~P2(x1103,x1102)+P2(x1101,x1102)+~P4(x1101,x1103) % 0.77/0.78 [120]~P2(x1203,x1202)+~P3(x1201,x1202)+~P3(x1201,x1203) % 0.77/0.78 [95]~P4(x951,x953)+P3(x951,x952)+~E(x952,f18(x953)) % 0.77/0.78 [96]~P3(x961,x963)+P4(x961,x962)+~E(x963,f18(x962)) % 0.77/0.78 [101]~P3(x1011,x1013)+E(x1011,x1012)+~E(x1013,f20(x1012,x1012)) % 0.77/0.78 [130]~P4(x1302,x1303)+~P4(x1301,x1303)+P4(f19(x1301,x1302),x1303) % 0.77/0.78 [146]P3(f15(x1462,x1463,x1461),x1461)+P3(f15(x1462,x1463,x1461),x1462)+E(x1461,f17(x1462,x1463)) % 0.77/0.78 [149]~E(f13(x1492,x1493,x1491),x1493)+~P3(f13(x1492,x1493,x1491),x1491)+E(x1491,f20(x1492,x1493)) % 0.77/0.78 [150]~E(f13(x1502,x1503,x1501),x1502)+~P3(f13(x1502,x1503,x1501),x1501)+E(x1501,f20(x1502,x1503)) % 0.77/0.78 [151]P3(f15(x1512,x1513,x1511),x1511)+~P3(f15(x1512,x1513,x1511),x1513)+E(x1511,f17(x1512,x1513)) % 0.77/0.78 [153]~P3(f14(x1532,x1533,x1531),x1531)+~P3(f14(x1532,x1533,x1531),x1533)+E(x1531,f19(x1532,x1533)) % 0.77/0.78 [154]~P3(f14(x1542,x1543,x1541),x1541)+~P3(f14(x1542,x1543,x1541),x1542)+E(x1541,f19(x1542,x1543)) % 0.77/0.78 [139]~P4(x1392,x1393)+P3(x1391,x1392)+P4(x1392,f17(x1393,f20(x1391,x1391))) % 0.77/0.78 [142]~P4(x1421,x1423)+~P4(x1421,x1422)+P4(x1421,f17(x1422,f17(x1422,x1423))) % 0.77/0.78 [147]P3(f16(x1472,x1473,x1471),x1471)+P3(f16(x1472,x1473,x1471),x1473)+E(x1471,f17(x1472,f17(x1472,x1473))) % 0.77/0.78 [148]P3(f16(x1482,x1483,x1481),x1481)+P3(f16(x1482,x1483,x1481),x1482)+E(x1481,f17(x1482,f17(x1482,x1483))) % 0.77/0.78 [88]P3(x881,x882)+~E(x881,x883)+~E(x882,f20(x884,x883)) % 0.77/0.78 [89]P3(x891,x892)+~E(x891,x893)+~E(x892,f20(x893,x894)) % 0.77/0.78 [100]E(x1001,x1002)+E(x1001,x1003)+~E(f20(x1001,x1004),f20(x1003,x1002)) % 0.77/0.78 [111]~P3(x1111,x1114)+P3(x1111,x1112)+~E(x1112,f19(x1113,x1114)) % 0.77/0.78 [112]~P3(x1121,x1123)+P3(x1121,x1122)+~E(x1122,f19(x1123,x1124)) % 0.77/0.78 [113]~P3(x1131,x1133)+P3(x1131,x1132)+~E(x1133,f17(x1132,x1134)) % 0.77/0.78 [121]~P3(x1214,x1213)+~P3(x1214,x1211)+~E(x1211,f17(x1212,x1213)) % 0.77/0.78 [133]~P3(x1331,x1333)+P3(x1331,x1332)+~E(x1333,f17(x1334,f17(x1334,x1332))) % 0.77/0.78 [145]E(f13(x1452,x1453,x1451),x1453)+E(f13(x1452,x1453,x1451),x1452)+P3(f13(x1452,x1453,x1451),x1451)+E(x1451,f20(x1452,x1453)) % 0.77/0.78 [152]P3(f14(x1522,x1523,x1521),x1521)+P3(f14(x1522,x1523,x1521),x1523)+P3(f14(x1522,x1523,x1521),x1522)+E(x1521,f19(x1522,x1523)) % 0.77/0.78 [155]P3(f15(x1552,x1553,x1551),x1553)+~P3(f15(x1552,x1553,x1551),x1551)+~P3(f15(x1552,x1553,x1551),x1552)+E(x1551,f17(x1552,x1553)) % 0.77/0.78 [156]~P3(f16(x1562,x1563,x1561),x1561)+~P3(f16(x1562,x1563,x1561),x1563)+~P3(f16(x1562,x1563,x1561),x1562)+E(x1561,f17(x1562,f17(x1562,x1563))) % 0.77/0.78 [102]~P3(x1021,x1024)+E(x1021,x1022)+E(x1021,x1023)+~E(x1024,f20(x1023,x1022)) % 0.77/0.78 [123]~P3(x1231,x1234)+P3(x1231,x1232)+P3(x1231,x1233)+~E(x1232,f17(x1234,x1233)) % 0.77/0.78 [124]~P3(x1241,x1244)+P3(x1241,x1242)+P3(x1241,x1243)+~E(x1244,f19(x1243,x1242)) % 0.77/0.78 [137]~P3(x1371,x1374)+~P3(x1371,x1373)+P3(x1371,x1372)+~E(x1372,f17(x1373,f17(x1373,x1374))) % 0.77/0.78 %EqnAxiom % 0.77/0.78 [1]E(x11,x11) % 0.77/0.78 [2]E(x22,x21)+~E(x21,x22) % 0.77/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.77/0.78 [4]~E(x41,x42)+E(f17(x41,x43),f17(x42,x43)) % 0.77/0.78 [5]~E(x51,x52)+E(f17(x53,x51),f17(x53,x52)) % 0.77/0.78 [6]~E(x61,x62)+E(f19(x61,x63),f19(x62,x63)) % 0.77/0.78 [7]~E(x71,x72)+E(f19(x73,x71),f19(x73,x72)) % 0.77/0.78 [8]~E(x81,x82)+E(f16(x81,x83,x84),f16(x82,x83,x84)) % 0.77/0.78 [9]~E(x91,x92)+E(f16(x93,x91,x94),f16(x93,x92,x94)) % 0.77/0.78 [10]~E(x101,x102)+E(f16(x103,x104,x101),f16(x103,x104,x102)) % 0.77/0.78 [11]~E(x111,x112)+E(f20(x111,x113),f20(x112,x113)) % 0.77/0.78 [12]~E(x121,x122)+E(f20(x123,x121),f20(x123,x122)) % 0.77/0.78 [13]~E(x131,x132)+E(f18(x131),f18(x132)) % 0.77/0.78 [14]~E(x141,x142)+E(f8(x141,x143),f8(x142,x143)) % 0.77/0.78 [15]~E(x151,x152)+E(f8(x153,x151),f8(x153,x152)) % 0.77/0.78 [16]~E(x161,x162)+E(f13(x161,x163,x164),f13(x162,x163,x164)) % 0.77/0.78 [17]~E(x171,x172)+E(f13(x173,x171,x174),f13(x173,x172,x174)) % 0.77/0.78 [18]~E(x181,x182)+E(f13(x183,x184,x181),f13(x183,x184,x182)) % 0.77/0.78 [19]~E(x191,x192)+E(f15(x191,x193,x194),f15(x192,x193,x194)) % 0.77/0.78 [20]~E(x201,x202)+E(f15(x203,x201,x204),f15(x203,x202,x204)) % 0.77/0.78 [21]~E(x211,x212)+E(f15(x213,x214,x211),f15(x213,x214,x212)) % 0.77/0.78 [22]~E(x221,x222)+E(f7(x221,x223),f7(x222,x223)) % 0.77/0.78 [23]~E(x231,x232)+E(f7(x233,x231),f7(x233,x232)) % 0.77/0.78 [24]~E(x241,x242)+E(f10(x241,x243),f10(x242,x243)) % 0.77/0.78 [25]~E(x251,x252)+E(f10(x253,x251),f10(x253,x252)) % 0.77/0.78 [26]~E(x261,x262)+E(f12(x261,x263),f12(x262,x263)) % 0.77/0.78 [27]~E(x271,x272)+E(f12(x273,x271),f12(x273,x272)) % 0.77/0.78 [28]~E(x281,x282)+E(f14(x281,x283,x284),f14(x282,x283,x284)) % 0.77/0.78 [29]~E(x291,x292)+E(f14(x293,x291,x294),f14(x293,x292,x294)) % 0.77/0.78 [30]~E(x301,x302)+E(f14(x303,x304,x301),f14(x303,x304,x302)) % 0.77/0.78 [31]~E(x311,x312)+E(f9(x311,x313),f9(x312,x313)) % 0.77/0.78 [32]~E(x321,x322)+E(f9(x323,x321),f9(x323,x322)) % 0.77/0.78 [33]~E(x331,x332)+E(f11(x331,x333),f11(x332,x333)) % 0.77/0.78 [34]~E(x341,x342)+E(f11(x343,x341),f11(x343,x342)) % 0.77/0.78 [35]~E(x351,x352)+E(f6(x351),f6(x352)) % 0.77/0.78 [36]~P1(x361)+P1(x362)+~E(x361,x362) % 0.77/0.78 [37]P3(x372,x373)+~E(x371,x372)+~P3(x371,x373) % 0.77/0.78 [38]P3(x383,x382)+~E(x381,x382)+~P3(x383,x381) % 0.77/0.78 [39]P4(x392,x393)+~E(x391,x392)+~P4(x391,x393) % 0.77/0.78 [40]P4(x403,x402)+~E(x401,x402)+~P4(x403,x401) % 0.77/0.78 [41]P2(x412,x413)+~E(x411,x412)+~P2(x411,x413) % 0.77/0.78 [42]P2(x423,x422)+~E(x421,x422)+~P2(x423,x421) % 0.77/0.78 [43]P5(x432,x433)+~E(x431,x432)+~P5(x431,x433) % 0.77/0.78 [44]P5(x443,x442)+~E(x441,x442)+~P5(x443,x441) % 0.77/0.78 % 0.77/0.78 %------------------------------------------- % 0.77/0.78 cnf(158,plain, % 0.77/0.78 (~P3(x1581,a1)), % 0.77/0.78 inference(equality_inference,[],[75])). % 0.77/0.78 cnf(162,plain, % 0.77/0.78 (~P3(x1621,f18(x1622))+P4(x1621,x1622)), % 0.77/0.78 inference(equality_inference,[],[96])). % 0.77/0.78 cnf(166,plain, % 0.77/0.78 (~P3(x1661,f20(x1662,x1662))+E(x1661,x1662)), % 0.77/0.78 inference(equality_inference,[],[101])). % 0.77/0.78 cnf(167,plain, % 0.77/0.78 (~P3(x1671,f20(x1672,x1673))+E(x1671,x1673)+E(x1671,x1672)), % 0.77/0.78 inference(equality_inference,[],[102])). % 0.77/0.78 cnf(168,plain, % 0.77/0.78 (~P3(x1681,x1682)+P3(x1681,f19(x1683,x1682))), % 0.77/0.78 inference(equality_inference,[],[111])). % 0.77/0.78 cnf(169,plain, % 0.77/0.78 (~P3(x1691,x1692)+P3(x1691,f19(x1692,x1693))), % 0.77/0.78 inference(equality_inference,[],[112])). % 0.77/0.78 cnf(170,plain, % 0.77/0.78 (~P3(x1701,f17(x1702,x1703))+P3(x1701,x1702)), % 0.77/0.78 inference(equality_inference,[],[113])). % 0.77/0.78 cnf(171,plain, % 0.77/0.78 (~P3(x1711,x1712)+~P3(x1711,f17(x1713,x1712))), % 0.77/0.78 inference(equality_inference,[],[121])). % 0.77/0.78 cnf(172,plain, % 0.77/0.78 (~P3(x1721,x1722)+P3(x1721,f17(x1722,x1723))+P3(x1721,x1723)), % 0.77/0.78 inference(equality_inference,[],[123])). % 0.77/0.78 cnf(173,plain, % 0.77/0.78 (~P3(x1731,f19(x1732,x1733))+P3(x1731,x1733)+P3(x1731,x1732)), % 0.77/0.78 inference(equality_inference,[],[124])). % 0.77/0.78 cnf(174,plain, % 0.77/0.78 (~P3(x1741,f17(x1742,f17(x1742,x1743)))+P3(x1741,x1743)), % 0.77/0.78 inference(equality_inference,[],[133])). % 0.77/0.78 cnf(176,plain, % 0.77/0.78 (~P3(x1761,f19(a1,a1))), % 0.77/0.78 inference(scs_inference,[],[54,75])). % 0.77/0.78 cnf(177,plain, % 0.77/0.78 (E(f19(x1771,x1771),x1771)), % 0.77/0.78 inference(rename_variables,[],[54])). % 0.77/0.78 cnf(179,plain, % 0.77/0.78 (P3(f6(f20(x1791,x1791)),f20(x1791,x1791))), % 0.77/0.78 inference(scs_inference,[],[54,67,75,74])). % 0.77/0.78 cnf(185,plain, % 0.77/0.78 (~P3(f20(x1851,x1851),f20(a1,a1))), % 0.77/0.78 inference(scs_inference,[],[47,54,46,67,75,74,77,92,166])). % 0.77/0.78 cnf(191,plain, % 0.77/0.78 (~P3(x1911,f17(a1,x1912))), % 0.77/0.78 inference(scs_inference,[],[47,158,54,46,67,75,74,77,92,166,168,169,170])). % 0.77/0.78 cnf(195,plain, % 0.77/0.78 (~P3(x1951,f17(x1952,f17(x1952,a1)))), % 0.77/0.78 inference(scs_inference,[],[47,158,54,46,67,75,74,77,92,166,168,169,170,171,174])). % 0.77/0.78 cnf(199,plain, % 0.77/0.78 (~P4(f20(x1991,x1991),a1)), % 0.77/0.78 inference(scs_inference,[],[47,158,54,46,67,75,74,77,92,166,168,169,170,171,174,69,73])). % 0.77/0.78 cnf(201,plain, % 0.77/0.78 (P4(f19(a1,a1),x2011)), % 0.77/0.78 inference(scs_inference,[],[47,158,54,46,67,75,74,77,92,166,168,169,170,171,174,69,73,105])). % 0.77/0.78 cnf(204,plain, % 0.77/0.78 (~P3(x2041,a1)), % 0.77/0.79 inference(rename_variables,[],[158])). % 0.77/0.79 cnf(207,plain, % 0.77/0.79 (~P3(x2071,a1)), % 0.77/0.79 inference(rename_variables,[],[158])). % 0.77/0.79 cnf(210,plain, % 0.77/0.79 (P4(x2101,x2101)), % 0.77/0.79 inference(rename_variables,[],[53])). % 0.77/0.79 cnf(212,plain, % 0.77/0.79 (E(x2121,f19(x2121,x2121))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,54,177,46,53,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2])). % 0.77/0.79 cnf(215,plain, % 0.77/0.79 (P4(x2151,f17(x2151,a1))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,54,177,46,58,53,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81])). % 0.77/0.79 cnf(222,plain, % 0.77/0.79 (E(f19(x2221,x2221),x2221)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(225,plain, % 0.77/0.79 (E(f19(x2251,x2251),x2251)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(228,plain, % 0.77/0.79 (P4(f17(x2281,x2282),x2281)), % 0.77/0.79 inference(rename_variables,[],[60])). % 0.77/0.79 cnf(231,plain, % 0.77/0.79 (E(f19(x2311,x2311),x2311)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(234,plain, % 0.77/0.79 (E(f19(x2341,x2341),x2341)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(237,plain, % 0.77/0.79 (E(f19(x2371,x2371),x2371)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(242,plain, % 0.77/0.79 (E(f19(x2421,x2421),x2421)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(245,plain, % 0.77/0.79 (E(f19(x2451,a1),x2451)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(247,plain, % 0.77/0.79 (P3(a4,f17(a3,a1))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,57,54,177,222,225,231,234,237,50,46,61,58,53,60,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172])). % 0.77/0.79 cnf(248,plain, % 0.77/0.79 (~P3(x2481,a1)), % 0.77/0.79 inference(rename_variables,[],[158])). % 0.77/0.79 cnf(252,plain, % 0.77/0.79 (~E(a4,f6(f20(a4,a4)))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,57,54,177,222,225,231,234,237,50,46,61,58,53,60,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172,173,37])). % 0.77/0.79 cnf(253,plain, % 0.77/0.79 (~E(a3,a1)), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,248,57,54,177,222,225,231,234,237,50,46,61,58,53,60,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172,173,37,38])). % 0.77/0.79 cnf(254,plain, % 0.77/0.79 (~P3(x2541,a1)), % 0.77/0.79 inference(rename_variables,[],[158])). % 0.77/0.79 cnf(255,plain, % 0.77/0.79 (P2(x2551,f17(f19(x2551,x2551),f19(x2551,x2551)))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,248,57,54,177,222,225,231,234,237,242,50,46,61,58,53,60,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172,173,37,38,41])). % 0.77/0.79 cnf(259,plain, % 0.77/0.79 (E(f19(x2591,a1),x2591)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(265,plain, % 0.77/0.79 (E(f19(x2651,x2651),x2651)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(273,plain, % 0.77/0.79 (~E(f20(a4,a4),f19(a1,a1))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,248,254,57,54,177,222,225,231,234,237,242,265,50,245,259,45,46,61,58,53,210,60,228,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172,173,37,38,41,70,88,89,95,99,129,3])). % 0.77/0.79 cnf(274,plain, % 0.77/0.79 (E(f19(x2741,x2741),x2741)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(278,plain, % 0.77/0.79 (~E(a1,f20(a4,a4))), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,248,254,57,54,177,222,225,231,234,237,242,265,274,50,245,259,45,46,61,58,53,210,60,228,66,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172,173,37,38,41,70,88,89,95,99,129,3,36,39])). % 0.77/0.79 cnf(280,plain, % 0.77/0.79 (~E(f19(f20(a4,a4),x2801),a1)), % 0.77/0.79 inference(scs_inference,[],[47,158,204,207,248,254,57,54,177,222,225,231,234,237,242,265,274,50,245,259,45,46,61,58,53,210,59,60,228,66,67,75,74,77,92,166,168,169,170,171,174,69,73,105,106,107,126,2,76,81,82,86,96,101,110,111,112,113,120,121,133,172,173,37,38,41,70,88,89,95,99,129,3,36,39,40])). % 0.77/0.79 cnf(321,plain, % 0.77/0.79 (~P4(a3,a1)), % 0.77/0.79 inference(scs_inference,[],[179,253,199,280,162,69,171,73])). % 0.77/0.79 cnf(328,plain, % 0.77/0.79 (~P3(x3281,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(331,plain, % 0.77/0.79 (~P3(x3311,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(339,plain, % 0.77/0.79 (P3(f6(f20(x3391,x3391)),f19(x3392,f20(x3391,x3391)))), % 0.77/0.79 inference(scs_inference,[],[176,328,331,179,253,48,273,199,280,162,69,171,73,92,166,106,107,170,174,76,168])). % 0.77/0.79 cnf(342,plain, % 0.77/0.79 (P4(x3421,f17(x3421,a1))), % 0.77/0.79 inference(rename_variables,[],[215])). % 0.77/0.79 cnf(345,plain, % 0.77/0.79 (~P3(x3451,f17(x3452,f17(x3452,a1)))), % 0.77/0.79 inference(rename_variables,[],[195])). % 0.77/0.79 cnf(355,plain, % 0.77/0.79 (P4(x3551,f17(x3551,a1))), % 0.77/0.79 inference(rename_variables,[],[215])). % 0.77/0.79 cnf(358,plain, % 0.77/0.79 (E(f19(x3581,a1),x3581)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(365,plain, % 0.77/0.79 (P4(f19(a1,a1),x3651)), % 0.77/0.79 inference(rename_variables,[],[201])). % 0.77/0.79 cnf(367,plain, % 0.77/0.79 (E(f6(f20(x3671,x3671)),x3671)), % 0.77/0.79 inference(scs_inference,[],[176,328,331,179,195,253,48,273,201,199,54,50,215,342,280,63,60,162,69,171,73,92,166,106,107,170,174,76,168,126,105,169,82,74,2,108,88,113,99,101])). % 0.77/0.79 cnf(368,plain, % 0.77/0.79 (E(f19(x3681,x3681),x3681)), % 0.77/0.79 inference(rename_variables,[],[54])). % 0.77/0.79 cnf(374,plain, % 0.77/0.79 (E(f19(x3741,a1),x3741)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(379,plain, % 0.77/0.79 (E(f19(x3791,a1),x3791)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(381,plain, % 0.77/0.79 (~E(f17(f20(x3811,x3811),a1),a1)), % 0.77/0.79 inference(scs_inference,[],[47,176,328,331,179,255,195,253,48,273,201,199,54,50,358,374,215,342,355,280,63,60,162,69,171,73,92,166,106,107,170,174,76,168,126,105,169,82,74,2,108,88,113,99,101,120,89,173,96,40])). % 0.77/0.79 cnf(384,plain, % 0.77/0.79 (E(f19(x3841,a1),x3841)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(390,plain, % 0.77/0.79 (E(x3901,f19(x3901,x3901))), % 0.77/0.79 inference(rename_variables,[],[212])). % 0.77/0.79 cnf(392,plain, % 0.77/0.79 (E(f19(x3921,a1),x3921)), % 0.77/0.79 inference(rename_variables,[],[50])). % 0.77/0.79 cnf(396,plain, % 0.77/0.79 (~P3(x3961,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(406,plain, % 0.77/0.79 (~P3(x4061,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(410,plain, % 0.77/0.79 (~P3(x4101,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(413,plain, % 0.77/0.79 (E(x4131,f19(x4131,x4131))), % 0.77/0.79 inference(rename_variables,[],[212])). % 0.77/0.79 cnf(414,plain, % 0.77/0.79 (~E(f6(f20(a1,a1)),f20(x4141,x4141))), % 0.77/0.79 inference(scs_inference,[],[47,176,328,331,396,406,57,179,255,195,345,185,253,48,212,390,273,201,365,199,54,368,50,358,374,379,384,392,45,215,342,355,278,280,63,60,162,69,171,73,92,166,106,107,170,174,76,168,126,105,169,82,74,2,108,88,113,99,101,120,89,173,96,40,111,95,36,121,129,110,112,39,38,167,172,42,37])). % 0.77/0.79 cnf(420,plain, % 0.77/0.79 (E(f17(x4201,a1),x4201)), % 0.77/0.79 inference(rename_variables,[],[51])). % 0.77/0.79 cnf(421,plain, % 0.77/0.79 (~P3(x4211,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(424,plain, % 0.77/0.79 (E(f17(x4241,a1),x4241)), % 0.77/0.79 inference(rename_variables,[],[51])). % 0.77/0.79 cnf(427,plain, % 0.77/0.79 (~P3(x4271,a1)), % 0.77/0.79 inference(rename_variables,[],[158])). % 0.77/0.79 cnf(430,plain, % 0.77/0.79 (~P3(x4301,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(435,plain, % 0.77/0.79 (~P3(x4351,f6(f20(a1,a1)))), % 0.77/0.79 inference(scs_inference,[],[47,176,328,331,396,406,410,421,430,57,158,179,255,195,345,185,253,48,212,390,413,273,201,365,199,54,368,50,358,374,379,384,392,51,420,424,45,215,342,355,278,280,63,60,162,69,171,73,92,166,106,107,170,174,76,168,126,105,169,82,74,2,108,88,113,99,101,120,89,173,96,40,111,95,36,121,129,110,112,39,38,167,172,42,37,3,41,123,137,152,145,124,75])). % 0.77/0.79 cnf(441,plain, % 0.77/0.79 (~P3(x4411,f19(a1,a1))), % 0.77/0.79 inference(rename_variables,[],[176])). % 0.77/0.79 cnf(445,plain, % 0.77/0.79 (E(f9(x4451,f19(a1,a1)),x4451)), % 0.77/0.79 inference(scs_inference,[],[47,176,328,331,396,406,410,421,430,441,57,158,427,179,255,195,345,185,252,253,48,212,390,413,273,201,365,199,54,368,50,358,374,379,384,392,51,420,424,45,215,342,355,278,280,63,60,162,69,171,73,92,166,106,107,170,174,76,168,126,105,169,82,74,2,108,88,113,99,101,120,89,173,96,40,111,95,36,121,129,110,112,39,38,167,172,42,37,3,41,123,137,152,145,124,75,146,147,70,122])). % 0.77/0.79 cnf(481,plain, % 0.77/0.79 (~P3(x4811,f6(f20(a1,a1)))), % 0.77/0.79 inference(rename_variables,[],[435])). % 0.77/0.79 cnf(488,plain, % 0.77/0.79 (~P3(x4881,f6(f20(a1,a1)))), % 0.77/0.79 inference(rename_variables,[],[435])). % 0.77/0.79 cnf(500,plain, % 0.77/0.79 ($false), % 0.77/0.79 inference(scs_inference,[],[435,481,488,191,367,339,414,247,252,445,321,59,381,73,76,170,162,171,168,92,75,69,107,166,174,105,106,169,126,82,2]), % 0.77/0.79 ['proof']). % 0.77/0.79 % SZS output end Proof % 0.77/0.79 % Total time :0.170000s %------------------------------------------------------------------------------