%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU200+1 : 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 : n025.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 15:01:43 EDT 2024 % Result : Theorem 0.52s 0.79s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SEU200+1 : TPTP v8.2.0. Released v3.3.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Jun 21 18:06:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.50/0.57 start to proof:theBenchmark % 0.52/0.78 %------------------------------------------- % 0.52/0.78 % File :CSE---1.7 % 0.52/0.78 % Problem :theBenchmark % 0.52/0.78 % Transform :cnf % 0.52/0.78 % Format :tptp:raw % 0.52/0.78 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.78 % 0.52/0.78 % Result :Theorem 0.180000s % 0.52/0.78 % Output :CNFRefutation 0.180000s % 0.52/0.78 %------------------------------------------- % 0.52/0.78 %------------------------------------------------------------------------------ % 0.52/0.78 % File : SEU200+1 : TPTP v8.2.0. Released v3.3.0. % 0.52/0.78 % Domain : Set theory % 0.52/0.78 % Problem : MPTP bushy problem t118_relat_1 % 0.52/0.78 % Version : [Urb07] axioms : Especial. % 0.52/0.78 % English : % 0.52/0.78 % 0.52/0.78 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.52/0.78 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.52/0.78 % Source : [Urb07] % 0.52/0.78 % Names : bushy-t118_relat_1 [Urb07] % 0.52/0.78 % 0.52/0.78 % Status : Theorem % 0.52/0.78 % Rating : 0.03 v8.1.0, 0.00 v6.4.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v5.1.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0 % 0.52/0.78 % Syntax : Number of formulae : 34 ( 11 unt; 0 def) % 0.52/0.78 % Number of atoms : 69 ( 2 equ) % 0.52/0.78 % Maximal formula atoms : 5 ( 2 avg) % 0.52/0.78 % Number of connectives : 49 ( 14 ~; 1 |; 16 &) % 0.52/0.78 % ( 1 <=>; 17 =>; 0 <=; 0 <~>) % 0.52/0.78 % Maximal formula depth : 7 ( 4 avg) % 0.52/0.78 % Maximal term depth : 3 ( 1 avg) % 0.52/0.78 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty) % 0.52/0.78 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty) % 0.52/0.78 % Number of variables : 45 ( 38 !; 7 ?) % 0.52/0.78 % SPC : FOF_THM_RFO_SEQ % 0.52/0.78 % 0.52/0.78 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.52/0.78 % library, www.mizar.org % 0.52/0.78 %------------------------------------------------------------------------------ % 0.52/0.78 fof(antisymmetry_r2_hidden,axiom, % 0.52/0.78 ! [A,B] : % 0.52/0.78 ( in(A,B) % 0.52/0.78 => ~ in(B,A) ) ). % 0.52/0.78 % 0.52/0.78 fof(cc1_relat_1,axiom, % 0.52/0.78 ! [A] : % 0.52/0.78 ( empty(A) % 0.52/0.78 => relation(A) ) ). % 0.52/0.78 % 0.52/0.78 fof(dt_k1_relat_1,axiom, % 0.52/0.78 $true ). % 0.52/0.78 % 0.52/0.78 fof(dt_k1_xboole_0,axiom, % 0.52/0.78 $true ). % 0.52/0.78 % 0.52/0.78 fof(dt_k1_zfmisc_1,axiom, % 0.52/0.78 $true ). % 0.52/0.78 % 0.52/0.78 fof(dt_k2_relat_1,axiom, % 0.52/0.78 $true ). % 0.52/0.78 % 0.52/0.78 fof(dt_k8_relat_1,axiom, % 0.52/0.78 ! [A,B] : % 0.52/0.78 ( relation(B) % 0.52/0.78 => relation(relation_rng_restriction(A,B)) ) ). % 0.52/0.78 % 0.52/0.78 fof(dt_m1_subset_1,axiom, % 0.52/0.78 $true ). % 0.52/0.78 % 0.52/0.78 fof(existence_m1_subset_1,axiom, % 0.52/0.78 ! [A] : % 0.52/0.78 ? [B] : element(B,A) ). % 0.52/0.78 % 0.52/0.78 fof(fc1_subset_1,axiom, % 0.52/0.78 ! [A] : ~ empty(powerset(A)) ). % 0.52/0.78 % 0.52/0.78 fof(fc1_xboole_0,axiom, % 0.52/0.78 empty(empty_set) ). % 0.52/0.78 % 0.52/0.78 fof(fc4_relat_1,axiom, % 0.52/0.78 ( empty(empty_set) % 0.52/0.78 & relation(empty_set) ) ). % 0.52/0.78 % 0.52/0.78 fof(fc5_relat_1,axiom, % 0.52/0.78 ! [A] : % 0.52/0.78 ( ( ~ empty(A) % 0.52/0.78 & relation(A) ) % 0.52/0.78 => ~ empty(relation_dom(A)) ) ). % 0.52/0.78 % 0.52/0.78 fof(fc6_relat_1,axiom, % 0.52/0.78 ! [A] : % 0.52/0.78 ( ( ~ empty(A) % 0.52/0.78 & relation(A) ) % 0.52/0.78 => ~ empty(relation_rng(A)) ) ). % 0.52/0.78 % 0.52/0.78 fof(fc7_relat_1,axiom, % 0.52/0.78 ! [A] : % 0.52/0.78 ( empty(A) % 0.52/0.79 => ( empty(relation_dom(A)) % 0.52/0.79 & relation(relation_dom(A)) ) ) ). % 0.52/0.79 % 0.52/0.79 fof(fc8_relat_1,axiom, % 0.52/0.79 ! [A] : % 0.52/0.79 ( empty(A) % 0.52/0.79 => ( empty(relation_rng(A)) % 0.52/0.79 & relation(relation_rng(A)) ) ) ). % 0.52/0.79 % 0.52/0.79 fof(rc1_relat_1,axiom, % 0.52/0.79 ? [A] : % 0.52/0.79 ( empty(A) % 0.52/0.79 & relation(A) ) ). % 0.52/0.79 % 0.52/0.79 fof(rc1_subset_1,axiom, % 0.52/0.79 ! [A] : % 0.52/0.79 ( ~ empty(A) % 0.52/0.79 => ? [B] : % 0.52/0.79 ( element(B,powerset(A)) % 0.52/0.79 & ~ empty(B) ) ) ). % 0.52/0.79 % 0.52/0.79 fof(rc1_xboole_0,axiom, % 0.52/0.79 ? [A] : empty(A) ). % 0.52/0.79 % 0.52/0.79 fof(rc2_relat_1,axiom, % 0.52/0.79 ? [A] : % 0.52/0.79 ( ~ empty(A) % 0.52/0.79 & relation(A) ) ). % 0.52/0.79 % 0.52/0.79 fof(rc2_subset_1,axiom, % 0.52/0.79 ! [A] : % 0.52/0.79 ? [B] : % 0.52/0.79 ( element(B,powerset(A)) % 0.52/0.79 & empty(B) ) ). % 0.52/0.79 % 0.52/0.79 fof(rc2_xboole_0,axiom, % 0.52/0.79 ? [A] : ~ empty(A) ). % 0.52/0.79 % 0.52/0.79 fof(reflexivity_r1_tarski,axiom, % 0.52/0.79 ! [A,B] : subset(A,A) ). % 0.52/0.79 % 0.52/0.79 fof(t117_relat_1,axiom, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ( relation(B) % 0.52/0.79 => subset(relation_rng_restriction(A,B),B) ) ). % 0.52/0.79 % 0.52/0.79 fof(t118_relat_1,conjecture, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ( relation(B) % 0.52/0.79 => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ). % 0.52/0.79 % 0.52/0.79 fof(t1_subset,axiom, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ( in(A,B) % 0.52/0.79 => element(A,B) ) ). % 0.52/0.79 % 0.52/0.79 fof(t25_relat_1,axiom, % 0.52/0.79 ! [A] : % 0.52/0.79 ( relation(A) % 0.52/0.79 => ! [B] : % 0.52/0.79 ( relation(B) % 0.52/0.79 => ( subset(A,B) % 0.52/0.79 => ( subset(relation_dom(A),relation_dom(B)) % 0.52/0.79 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ). % 0.52/0.79 % 0.52/0.79 fof(t2_subset,axiom, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ( element(A,B) % 0.52/0.79 => ( empty(B) % 0.52/0.79 | in(A,B) ) ) ). % 0.52/0.79 % 0.52/0.79 fof(t3_subset,axiom, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ( element(A,powerset(B)) % 0.52/0.79 <=> subset(A,B) ) ). % 0.52/0.79 % 0.52/0.79 fof(t4_subset,axiom, % 0.52/0.79 ! [A,B,C] : % 0.52/0.79 ( ( in(A,B) % 0.52/0.79 & element(B,powerset(C)) ) % 0.52/0.79 => element(A,C) ) ). % 0.52/0.79 % 0.52/0.79 fof(t5_subset,axiom, % 0.52/0.79 ! [A,B,C] : % 0.52/0.79 ~ ( in(A,B) % 0.52/0.79 & element(B,powerset(C)) % 0.52/0.79 & empty(C) ) ). % 0.52/0.79 % 0.52/0.79 fof(t6_boole,axiom, % 0.52/0.79 ! [A] : % 0.52/0.79 ( empty(A) % 0.52/0.79 => A = empty_set ) ). % 0.52/0.79 % 0.52/0.79 fof(t7_boole,axiom, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ~ ( in(A,B) % 0.52/0.79 & empty(B) ) ). % 0.52/0.79 % 0.52/0.79 fof(t8_boole,axiom, % 0.52/0.79 ! [A,B] : % 0.52/0.79 ~ ( empty(A) % 0.52/0.79 & A != B % 0.52/0.79 & empty(B) ) ). % 0.52/0.79 % 0.52/0.79 %------------------------------------------------------------------------------ % 0.52/0.79 %------------------------------------------- % 0.52/0.79 % Proof found % 0.52/0.79 % SZS status Theorem for theBenchmark % 0.52/0.79 % SZS output start Proof % 0.52/0.79 %ClaNum:58(EqnAxiom:19) % 0.52/0.79 %VarNum:89(SingletonVarNum:43) % 0.52/0.79 %MaxLitNum:4 % 0.52/0.79 %MaxfuncDepth:2 % 0.52/0.79 %SharedTerms:20 % 0.52/0.79 %goalClause: 27 35 % 0.52/0.79 %singleGoalClaCount:2 % 0.52/0.79 [21]P1(a1) % 0.52/0.79 [22]P1(a2) % 0.52/0.79 [23]P1(a4) % 0.52/0.79 [24]P3(a1) % 0.52/0.79 [25]P3(a2) % 0.52/0.79 [26]P3(a6) % 0.52/0.79 [27]P3(a7) % 0.52/0.79 [32]~P1(a6) % 0.52/0.79 [33]~P1(a9) % 0.52/0.79 [35]~P5(f13(f12(a10,a7)),f13(a7)) % 0.52/0.79 [29]P5(x291,x291) % 0.52/0.79 [28]P1(f8(x281)) % 0.52/0.79 [30]P2(f3(x301),x301) % 0.52/0.79 [31]P2(f8(x311),f11(x311)) % 0.52/0.79 [34]~P1(f11(x341)) % 0.52/0.79 [36]~P1(x361)+E(x361,a1) % 0.52/0.79 [37]~P1(x371)+P3(x371) % 0.52/0.79 [39]~P1(x391)+P1(f14(x391)) % 0.52/0.79 [40]~P1(x401)+P1(f13(x401)) % 0.52/0.79 [41]~P1(x411)+P3(f14(x411)) % 0.52/0.79 [42]~P1(x421)+P3(f13(x421)) % 0.52/0.79 [43]P1(x431)+~P1(f5(x431)) % 0.52/0.79 [47]P1(x471)+P2(f5(x471),f11(x471)) % 0.52/0.79 [46]~P1(x461)+~P4(x462,x461) % 0.52/0.79 [48]~P4(x481,x482)+P2(x481,x482) % 0.52/0.79 [52]~P4(x522,x521)+~P4(x521,x522) % 0.52/0.79 [49]~P3(x492)+P3(f12(x491,x492)) % 0.52/0.79 [51]~P5(x511,x512)+P2(x511,f11(x512)) % 0.52/0.79 [53]P5(x531,x532)+~P2(x531,f11(x532)) % 0.52/0.79 [54]~P3(x542)+P5(f12(x541,x542),x542) % 0.52/0.79 [44]~P3(x441)+P1(x441)+~P1(f14(x441)) % 0.52/0.79 [45]~P3(x451)+P1(x451)+~P1(f13(x451)) % 0.52/0.79 [38]~P1(x382)+~P1(x381)+E(x381,x382) % 0.52/0.79 [50]~P2(x502,x501)+P1(x501)+P4(x502,x501) % 0.52/0.79 [55]~P1(x551)+~P4(x552,x553)+~P2(x553,f11(x551)) % 0.52/0.79 [58]P2(x581,x582)+~P4(x581,x583)+~P2(x583,f11(x582)) % 0.52/0.79 [56]~P3(x562)+~P3(x561)+~P5(x561,x562)+P5(f14(x561),f14(x562)) % 0.52/0.79 [57]~P3(x572)+~P3(x571)+~P5(x571,x572)+P5(f13(x571),f13(x572)) % 0.52/0.79 %EqnAxiom % 0.52/0.79 [1]E(x11,x11) % 0.52/0.79 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.79 [4]~E(x41,x42)+E(f8(x41),f8(x42)) % 0.52/0.79 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.52/0.79 [6]~E(x61,x62)+E(f11(x61),f11(x62)) % 0.52/0.79 [7]~E(x71,x72)+E(f13(x71),f13(x72)) % 0.52/0.79 [8]~E(x81,x82)+E(f12(x81,x83),f12(x82,x83)) % 0.52/0.79 [9]~E(x91,x92)+E(f12(x93,x91),f12(x93,x92)) % 0.52/0.79 [10]~E(x101,x102)+E(f14(x101),f14(x102)) % 0.52/0.79 [11]~E(x111,x112)+E(f5(x111),f5(x112)) % 0.52/0.79 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 0.52/0.79 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 0.52/0.79 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 0.52/0.79 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153) % 0.52/0.79 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161) % 0.52/0.79 [17]~P3(x171)+P3(x172)+~E(x171,x172) % 0.52/0.79 [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183) % 0.52/0.79 [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191) % 0.52/0.79 % 0.52/0.79 %------------------------------------------- % 0.52/0.79 cnf(59,plain, % 0.52/0.79 (P5(f3(f11(x591)),x591)), % 0.52/0.79 inference(scs_inference,[],[30,53])). % 0.52/0.79 cnf(60,plain, % 0.52/0.79 (P2(f3(x601),x601)), % 0.52/0.79 inference(rename_variables,[],[30])). % 0.52/0.79 cnf(62,plain, % 0.52/0.79 (~P4(x621,a1)), % 0.52/0.79 inference(scs_inference,[],[30,21,53,46])). % 0.52/0.79 cnf(65,plain, % 0.52/0.79 (P5(x651,x651)), % 0.52/0.79 inference(rename_variables,[],[29])). % 0.52/0.79 cnf(66,plain, % 0.52/0.79 (~E(f13(f12(a10,a7)),f13(a7))), % 0.52/0.79 inference(scs_inference,[],[35,29,65,30,21,53,46,18,19])). % 0.52/0.79 cnf(68,plain, % 0.52/0.79 (P4(f3(a6),a6)), % 0.52/0.79 inference(scs_inference,[],[35,29,65,32,30,60,21,53,46,18,19,50])). % 0.52/0.79 cnf(69,plain, % 0.52/0.79 (P2(f3(x691),x691)), % 0.52/0.79 inference(rename_variables,[],[30])). % 0.52/0.79 cnf(71,plain, % 0.52/0.79 (~P4(x711,f3(f11(a1)))), % 0.52/0.79 inference(scs_inference,[],[35,29,65,32,30,60,69,21,53,46,18,19,50,55])). % 0.52/0.79 cnf(74,plain, % 0.52/0.79 (~E(a6,a1)), % 0.52/0.79 inference(scs_inference,[],[35,29,65,32,30,60,69,21,53,46,18,19,50,55,16])). % 0.52/0.79 cnf(77,plain, % 0.52/0.79 (~E(a7,f12(a10,a7))), % 0.52/0.79 inference(scs_inference,[],[35,29,65,32,30,60,69,21,53,46,18,19,50,55,16,52,7])). % 0.52/0.79 cnf(84,plain, % 0.52/0.79 (P5(f8(x841),x841)), % 0.52/0.79 inference(scs_inference,[],[31,53])). % 0.52/0.79 cnf(86,plain, % 0.52/0.79 (~P4(x861,a2)), % 0.52/0.79 inference(scs_inference,[],[31,22,53,46])). % 0.52/0.79 cnf(89,plain, % 0.52/0.79 (P4(f3(a9),a9)), % 0.52/0.79 inference(scs_inference,[],[66,33,31,22,30,53,46,7,50])). % 0.52/0.79 cnf(92,plain, % 0.52/0.79 (~P4(x921,f8(a2))), % 0.52/0.79 inference(scs_inference,[],[66,33,31,22,30,53,46,7,50,55])). % 0.52/0.79 cnf(93,plain, % 0.52/0.79 (P2(f8(x931),f11(x931))), % 0.52/0.79 inference(rename_variables,[],[31])). % 0.52/0.79 cnf(103,plain, % 0.52/0.79 (P5(f3(f11(x1031)),x1032)+~E(x1031,x1032)), % 0.52/0.79 inference(scs_inference,[],[59,66,71,68,33,31,93,77,22,30,53,46,7,50,55,16,52,38,58,19])). % 0.52/0.79 cnf(111,plain, % 0.52/0.79 (~P4(x1111,a4)), % 0.52/0.79 inference(scs_inference,[],[23,46])). % 0.52/0.79 cnf(113,plain, % 0.52/0.79 (P4(f3(f11(x1131)),f11(x1131))), % 0.52/0.79 inference(scs_inference,[],[34,23,30,46,50])). % 0.52/0.79 cnf(114,plain, % 0.52/0.79 (P2(f3(x1141),x1141)), % 0.52/0.79 inference(rename_variables,[],[30])). % 0.52/0.79 cnf(116,plain, % 0.52/0.79 (~P4(x1161,f3(f11(a4)))), % 0.52/0.79 inference(scs_inference,[],[34,23,30,114,46,50,55])). % 0.52/0.79 cnf(117,plain, % 0.52/0.79 (P2(f3(x1171),x1171)), % 0.52/0.79 inference(rename_variables,[],[30])). % 0.52/0.79 cnf(128,plain, % 0.52/0.79 (~P1(f13(f12(a10,a7)))), % 0.52/0.79 inference(scs_inference,[],[35,84,92,89,34,23,28,30,114,117,46,50,55,18,16,52,58,38])). % 0.52/0.79 cnf(132,plain, % 0.52/0.79 (~P1(f12(a10,a7))), % 0.52/0.79 inference(scs_inference,[],[128,40])). % 0.52/0.79 cnf(141,plain, % 0.52/0.79 (P5(f8(x1411),x1412)+~E(x1411,x1412)), % 0.52/0.79 inference(scs_inference,[],[84,113,116,128,34,31,28,40,46,50,16,19])). % 0.52/0.79 cnf(146,plain, % 0.52/0.79 (P4(f3(f12(a10,a7)),f12(a10,a7))), % 0.52/0.79 inference(scs_inference,[],[132,30,50])). % 0.52/0.79 cnf(160,plain, % 0.52/0.79 (P2(f3(x1601),x1602)+~E(x1601,x1602)), % 0.52/0.79 inference(scs_inference,[],[113,62,30,16,14])). % 0.52/0.79 cnf(238,plain, % 0.52/0.79 (E(f14(f8(x2381)),a1)), % 0.52/0.79 inference(scs_inference,[],[28,36,39])). % 0.52/0.79 cnf(246,plain, % 0.52/0.79 (~P4(x2461,f14(f8(x2462)))), % 0.52/0.80 inference(scs_inference,[],[24,238,74,21,2,17,12,3,103,141,160,46])). % 0.52/0.80 cnf(265,plain, % 0.52/0.80 (~P1(f5(a6))), % 0.52/0.80 inference(scs_inference,[],[68,43,46])). % 0.52/0.80 cnf(266,plain, % 0.52/0.80 (P4(f3(f5(a6)),f5(a6))), % 0.52/0.80 inference(scs_inference,[],[265,30,50])). % 0.52/0.80 cnf(273,plain, % 0.52/0.80 (P4(x2731,f5(a6))+~E(f3(f5(a6)),x2731)), % 0.52/0.80 inference(scs_inference,[],[265,246,30,50,16,52,15])). % 0.52/0.80 cnf(277,plain, % 0.52/0.80 (P2(f5(a6),f11(a6))), % 0.52/0.80 inference(scs_inference,[],[74,47,36])). % 0.52/0.80 cnf(287,plain, % 0.52/0.80 (~P4(f11(a6),f5(a6))), % 0.52/0.80 inference(scs_inference,[],[146,34,266,277,86,53,50,58,16,52])). % 0.52/0.80 cnf(295,plain, % 0.52/0.80 (P2(f12(x2951,a7),f11(a7))), % 0.52/0.80 inference(scs_inference,[],[27,51,54])). % 0.52/0.80 cnf(300,plain, % 0.52/0.80 (P2(f12(x3001,a7),f11(a7))), % 0.52/0.80 inference(rename_variables,[],[295])). % 0.52/0.80 cnf(311,plain, % 0.52/0.80 ($false), % 0.52/0.80 inference(scs_inference,[],[35,27,146,295,300,265,111,287,273,53,55,50,58,16,57,49]), % 0.52/0.80 ['proof']). % 0.52/0.80 % SZS output end Proof % 0.52/0.80 % Total time :0.180000s %------------------------------------------------------------------------------