%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU263+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 : n027.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 15:02:08 EDT 2024 % Result : Theorem 0.74s 0.86s % Output : CNFRefutation 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU263+1 : 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 : n027.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 15:10:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.58 start to proof:theBenchmark % 0.74/0.85 %------------------------------------------- % 0.74/0.85 % File :CSE---1.7 % 0.74/0.85 % Problem :theBenchmark % 0.74/0.85 % Transform :cnf % 0.74/0.85 % Format :tptp:raw % 0.74/0.85 % Command :java -jar mcs_scs.jar %d %s % 0.74/0.85 % 0.74/0.85 % Result :Theorem 0.230000s % 0.74/0.85 % Output :CNFRefutation 0.230000s % 0.74/0.85 %------------------------------------------- % 0.74/0.86 %------------------------------------------------------------------------------ % 0.74/0.86 % File : SEU263+1 : TPTP v8.2.0. Released v3.3.0. % 0.74/0.86 % Domain : Set theory % 0.74/0.86 % Problem : MPTP bushy problem t14_relset_1 % 0.74/0.86 % Version : [Urb07] axioms : Especial. % 0.74/0.86 % English : % 0.74/0.86 % 0.74/0.86 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.74/0.86 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.74/0.86 % Source : [Urb07] % 0.74/0.86 % Names : bushy-t14_relset_1 [Urb07] % 0.74/0.86 % 0.74/0.86 % Status : Theorem % 0.74/0.86 % Rating : 0.06 v8.2.0, 0.00 v8.1.0, 0.07 v7.5.0, 0.10 v7.4.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.15 v6.2.0, 0.09 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.26 v5.3.0, 0.30 v5.2.0, 0.07 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.14 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0 % 0.74/0.86 % Syntax : Number of formulae : 20 ( 10 unt; 0 def) % 0.74/0.86 % Number of atoms : 34 ( 0 equ) % 0.74/0.86 % Maximal formula atoms : 3 ( 1 avg) % 0.74/0.86 % Number of connectives : 14 ( 0 ~; 0 |; 3 &) % 0.74/0.86 % ( 3 <=>; 8 =>; 0 <=; 0 <~>) % 0.74/0.86 % Maximal formula depth : 7 ( 4 avg) % 0.74/0.86 % Maximal term depth : 3 ( 1 avg) % 0.74/0.86 % Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty) % 0.74/0.86 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty) % 0.74/0.86 % Number of variables : 39 ( 36 !; 3 ?) % 0.74/0.86 % SPC : FOF_THM_RFO_NEQ % 0.74/0.86 % 0.74/0.86 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.74/0.86 % library, www.mizar.org % 0.74/0.86 %------------------------------------------------------------------------------ % 0.74/0.86 fof(cc1_relset_1,axiom, % 0.74/0.86 ! [A,B,C] : % 0.74/0.86 ( element(C,powerset(cartesian_product2(A,B))) % 0.74/0.86 => relation(C) ) ). % 0.74/0.86 % 0.74/0.86 fof(d1_relset_1,axiom, % 0.74/0.86 ! [A,B,C] : % 0.74/0.86 ( relation_of2(C,A,B) % 0.74/0.86 <=> subset(C,cartesian_product2(A,B)) ) ). % 0.74/0.86 % 0.74/0.86 fof(dt_k1_relat_1,axiom, % 0.74/0.86 $true ). % 0.74/0.86 % 0.74/0.86 fof(dt_k1_zfmisc_1,axiom, % 0.74/0.86 $true ). % 0.74/0.86 % 0.74/0.86 fof(dt_k2_relat_1,axiom, % 0.74/0.86 $true ). % 0.74/0.86 % 0.74/0.86 fof(dt_k2_zfmisc_1,axiom, % 0.74/0.86 $true ). % 0.74/0.86 % 0.74/0.86 fof(dt_m1_relset_1,axiom, % 0.74/0.86 $true ). % 0.74/0.86 % 0.74/0.86 fof(dt_m1_subset_1,axiom, % 0.74/0.86 $true ). % 0.74/0.86 % 0.74/0.86 fof(dt_m2_relset_1,axiom, % 0.74/0.86 ! [A,B,C] : % 0.74/0.86 ( relation_of2_as_subset(C,A,B) % 0.74/0.86 => element(C,powerset(cartesian_product2(A,B))) ) ). % 0.74/0.86 % 0.74/0.86 fof(existence_m1_relset_1,axiom, % 0.74/0.86 ! [A,B] : % 0.74/0.86 ? [C] : relation_of2(C,A,B) ). % 0.74/0.86 % 0.74/0.86 fof(existence_m1_subset_1,axiom, % 0.74/0.86 ! [A] : % 0.74/0.86 ? [B] : element(B,A) ). % 0.74/0.86 % 0.74/0.86 fof(existence_m2_relset_1,axiom, % 0.74/0.86 ! [A,B] : % 0.74/0.86 ? [C] : relation_of2_as_subset(C,A,B) ). % 0.74/0.86 % 0.74/0.86 fof(redefinition_m2_relset_1,axiom, % 0.74/0.86 ! [A,B,C] : % 0.74/0.86 ( relation_of2_as_subset(C,A,B) % 0.74/0.86 <=> relation_of2(C,A,B) ) ). % 0.74/0.86 % 0.74/0.86 fof(reflexivity_r1_tarski,axiom, % 0.74/0.86 ! [A,B] : subset(A,A) ). % 0.74/0.86 % 0.74/0.86 fof(t119_zfmisc_1,axiom, % 0.74/0.86 ! [A,B,C,D] : % 0.74/0.86 ( ( subset(A,B) % 0.74/0.86 & subset(C,D) ) % 0.74/0.86 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ). % 0.74/0.86 % 0.74/0.86 fof(t12_relset_1,axiom, % 0.74/0.86 ! [A,B,C] : % 0.74/0.86 ( relation_of2_as_subset(C,A,B) % 0.74/0.86 => ( subset(relation_dom(C),A) % 0.74/0.86 & subset(relation_rng(C),B) ) ) ). % 0.74/0.86 % 0.74/0.86 fof(t14_relset_1,conjecture, % 0.74/0.86 ! [A,B,C,D] : % 0.74/0.86 ( relation_of2_as_subset(D,C,A) % 0.74/0.86 => ( subset(relation_rng(D),B) % 0.74/0.86 => relation_of2_as_subset(D,C,B) ) ) ). % 0.74/0.86 % 0.74/0.86 fof(t1_xboole_1,axiom, % 0.74/0.86 ! [A,B,C] : % 0.74/0.86 ( ( subset(A,B) % 0.74/0.86 & subset(B,C) ) % 0.74/0.86 => subset(A,C) ) ). % 0.74/0.86 % 0.74/0.86 fof(t21_relat_1,axiom, % 0.74/0.86 ! [A] : % 0.74/0.86 ( relation(A) % 0.74/0.86 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ). % 0.74/0.86 % 0.74/0.86 fof(t3_subset,axiom, % 0.74/0.86 ! [A,B] : % 0.74/0.86 ( element(A,powerset(B)) % 0.74/0.86 <=> subset(A,B) ) ). % 0.74/0.86 % 0.74/0.86 %------------------------------------------------------------------------------ % 0.74/0.86 %------------------------------------------- % 0.74/0.86 % Proof found % 0.74/0.86 % SZS status Theorem for theBenchmark % 0.74/0.86 % SZS output start Proof % 0.74/0.86 %ClaNum:20(EqnAxiom:0) % 0.74/0.86 %VarNum:82(SingletonVarNum:42) % 0.74/0.86 %MaxLitNum:3 % 0.74/0.86 %MaxfuncDepth:2 % 0.74/0.86 %SharedTerms:8 % 0.74/0.86 %goalClause: 2 4 7 % 0.74/0.86 %singleGoalClaCount:3 % 0.74/0.86 [4]P3(a1,a8,a6) % 0.74/0.86 [7]~P3(a1,a8,a2) % 0.84/0.86 [2]P1(f9(a1),a2) % 0.84/0.86 [1]P1(x11,x11) % 0.84/0.86 [3]P2(f3(x31),x31) % 0.84/0.86 [5]P4(f4(x51,x52),x51,x52) % 0.84/0.86 [6]P3(f7(x61,x62),x61,x62) % 0.84/0.86 [11]~P5(x111)+P1(x111,f5(f11(x111),f9(x111))) % 0.84/0.86 [8]~P1(x81,x82)+P2(x81,f10(x82)) % 0.84/0.86 [9]P1(x91,x92)+~P2(x91,f10(x92)) % 0.84/0.86 [18]~P3(x181,x182,x183)+P4(x181,x182,x183) % 0.84/0.86 [19]~P4(x191,x192,x193)+P3(x191,x192,x193) % 0.84/0.86 [12]~P3(x121,x122,x123)+P1(f11(x121),x122) % 0.84/0.86 [13]~P3(x131,x133,x132)+P1(f9(x131),x132) % 0.84/0.86 [16]P4(x161,x162,x163)+~P1(x161,f5(x162,x163)) % 0.84/0.86 [17]~P4(x171,x172,x173)+P1(x171,f5(x172,x173)) % 0.84/0.86 [15]P5(x151)+~P2(x151,f10(f5(x152,x153))) % 0.84/0.86 [20]~P3(x201,x202,x203)+P2(x201,f10(f5(x202,x203))) % 0.84/0.86 [10]~P1(x101,x103)+P1(x101,x102)+~P1(x103,x102) % 0.84/0.86 [14]~P1(x142,x144)+~P1(x141,x143)+P1(f5(x141,x142),f5(x143,x144)) % 0.84/0.86 %EqnAxiom % 0.84/0.86 % 0.84/0.86 %------------------------------------------- % 0.84/0.86 cnf(34,plain, % 0.84/0.86 (P1(a1,f5(a8,a6))), % 0.84/0.86 inference(scs_inference,[],[4,18,17])). % 0.84/0.86 cnf(35,plain, % 0.84/0.86 (P4(a1,a8,a6)), % 0.84/0.86 inference(scs_inference,[],[34,16])). % 0.84/0.86 cnf(37,plain, % 0.84/0.86 (P2(a1,f10(f5(a8,a6)))), % 0.84/0.86 inference(scs_inference,[],[35,20,19])). % 0.84/0.86 cnf(38,plain, % 0.84/0.86 (P5(a1)), % 0.84/0.86 inference(scs_inference,[],[37,15])). % 0.84/0.86 cnf(112,plain, % 0.84/0.86 (~P1(a1,f5(a8,a2))), % 0.84/0.86 inference(scs_inference,[],[7,19,16])). % 0.84/0.86 cnf(125,plain, % 0.84/0.86 (P1(a1,f5(f11(a1),f9(a1)))), % 0.84/0.86 inference(scs_inference,[],[38,1,11,10])). % 0.84/0.86 cnf(153,plain, % 0.84/0.86 (P1(f5(f11(a1),f9(a1)),f5(a8,a2))), % 0.84/0.86 inference(scs_inference,[],[2,4,14,12])). % 0.84/0.86 cnf(156,plain, % 0.84/0.86 ($false), % 0.84/0.86 inference(scs_inference,[],[153,125,112,16,10]), % 0.84/0.86 ['proof']). % 0.84/0.86 % SZS output end Proof % 0.84/0.86 % Total time :0.230000s %------------------------------------------------------------------------------