%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU162+3 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 15:01:27 EDT 2024 % Result : Theorem 0.58s 0.64s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU162+3 : TPTP v8.2.0. Released v3.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n019.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 14:13:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.57/0.63 %------------------------------------------- % 0.57/0.63 % File :CSE---1.7 % 0.57/0.63 % Problem :theBenchmark % 0.57/0.63 % Transform :cnf % 0.57/0.63 % Format :tptp:raw % 0.57/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.64 % 0.57/0.64 % Result :Theorem 0.010000s % 0.57/0.64 % Output :CNFRefutation 0.010000s % 0.57/0.64 %------------------------------------------- % 0.58/0.64 %------------------------------------------------------------------------------ % 0.58/0.64 % File : SEU162+3 : TPTP v8.2.0. Released v3.2.0. % 0.58/0.64 % Domain : Set theory % 0.58/0.64 % Problem : Basic properties of sets, theorem 65 % 0.58/0.64 % Version : [Urb06] axioms : Especial. % 0.58/0.64 % English : % 0.58/0.64 % 0.58/0.64 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.58/0.64 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.58/0.64 % Source : [Urb06] % 0.58/0.64 % Names : zfmisc_1__t65_zfmisc_1 [Urb06] % 0.58/0.64 % 0.58/0.64 % Status : Theorem % 0.58/0.64 % Rating : 0.08 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0 % 0.58/0.64 % Syntax : Number of formulae : 8 ( 2 unt; 0 def) % 0.58/0.64 % Number of atoms : 14 ( 2 equ) % 0.58/0.64 % Maximal formula atoms : 2 ( 1 avg) % 0.58/0.64 % Number of connectives : 11 ( 5 ~; 0 |; 1 &) % 0.58/0.64 % ( 2 <=>; 3 =>; 0 <=; 0 <~>) % 0.58/0.64 % Maximal formula depth : 5 ( 4 avg) % 0.58/0.64 % Maximal term depth : 3 ( 1 avg) % 0.58/0.64 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.58/0.64 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.58/0.64 % Number of variables : 14 ( 12 !; 2 ?) % 0.58/0.64 % SPC : FOF_THM_RFO_SEQ % 0.58/0.64 % 0.58/0.64 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.58/0.64 % library, www.mizar.org % 0.58/0.64 %------------------------------------------------------------------------------ % 0.58/0.64 fof(antisymmetry_r2_hidden,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( in(A,B) % 0.58/0.64 => ~ in(B,A) ) ). % 0.58/0.64 % 0.58/0.64 fof(l25_zfmisc_1,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ~ ( disjoint(singleton(A),B) % 0.58/0.64 & in(A,B) ) ). % 0.58/0.64 % 0.58/0.64 fof(l28_zfmisc_1,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( ~ in(A,B) % 0.58/0.64 => disjoint(singleton(A),B) ) ). % 0.58/0.64 % 0.58/0.64 fof(rc1_xboole_0,axiom, % 0.58/0.64 ? [A] : empty(A) ). % 0.58/0.64 % 0.58/0.64 fof(rc2_xboole_0,axiom, % 0.58/0.64 ? [A] : ~ empty(A) ). % 0.58/0.64 % 0.58/0.64 fof(symmetry_r1_xboole_0,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( disjoint(A,B) % 0.58/0.64 => disjoint(B,A) ) ). % 0.58/0.64 % 0.58/0.64 fof(t65_zfmisc_1,conjecture, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( set_difference(A,singleton(B)) = A % 0.58/0.64 <=> ~ in(B,A) ) ). % 0.58/0.64 % 0.58/0.64 fof(t83_xboole_1,axiom, % 0.58/0.64 ! [A,B] : % 0.58/0.64 ( disjoint(A,B) % 0.58/0.64 <=> set_difference(A,B) = A ) ). % 0.58/0.64 % 0.58/0.64 %------------------------------------------------------------------------------ % 0.58/0.64 %------------------------------------------- % 0.58/0.64 % Proof found % 0.58/0.64 % SZS status Theorem for theBenchmark % 0.58/0.64 % SZS output start Proof % 0.58/0.64 %ClaNum:21(EqnAxiom:11) % 0.58/0.64 %VarNum:26(SingletonVarNum:12) % 0.58/0.64 %MaxLitNum:2 % 0.58/0.64 %MaxfuncDepth:2 % 0.58/0.64 %SharedTerms:12 % 0.58/0.64 %goalClause: 14 16 % 0.58/0.64 [12]P1(a1) % 0.58/0.64 [13]~P1(a2) % 0.58/0.64 [14]~P3(a4,a3)+E(f6(a3,f5(a4)),a3) % 0.58/0.64 [16]P3(a4,a3)+~E(f6(a3,f5(a4)),a3) % 0.58/0.64 [17]~P2(x172,x171)+P2(x171,x172) % 0.58/0.64 [20]~P3(x202,x201)+~P3(x201,x202) % 0.58/0.64 [15]P3(x151,x152)+P2(f5(x151),x152) % 0.58/0.64 [18]~P2(x181,x182)+E(f6(x181,x182),x181) % 0.58/0.64 [19]P2(x191,x192)+~E(f6(x191,x192),x191) % 0.58/0.64 [21]~P3(x211,x212)+~P2(f5(x211),x212) % 0.58/0.64 %EqnAxiom % 0.58/0.64 [1]E(x11,x11) % 0.58/0.64 [2]E(x22,x21)+~E(x21,x22) % 0.58/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.58/0.64 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.58/0.64 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53)) % 0.58/0.64 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62)) % 0.58/0.64 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.58/0.64 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.58/0.64 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.58/0.64 [10]P3(x102,x103)+~E(x101,x102)+~P3(x101,x103) % 0.58/0.64 [11]P3(x113,x112)+~E(x111,x112)+~P3(x113,x111) % 0.58/0.64 % 0.58/0.64 %------------------------------------------- % 0.58/0.65 cnf(24,plain, % 0.58/0.65 (~P2(x241,x242)+E(f6(x242,x241),x242)), % 0.58/0.65 inference(scs_inference,[],[17,18])). % 0.58/0.65 cnf(26,plain, % 0.58/0.65 (~P2(f5(a4),a3)+~E(f6(a3,f5(a4)),a3)), % 0.58/0.65 inference(scs_inference,[],[21,16])). % 0.58/0.65 cnf(28,plain, % 0.58/0.65 (~E(f6(f5(a4),a3),f5(a4))+~E(f6(a3,f5(a4)),a3)), % 0.58/0.65 inference(scs_inference,[],[19,26])). % 0.58/0.65 cnf(29,plain, % 0.58/0.65 (P2(f5(a4),a3)+E(f6(a3,f5(a4)),a3)), % 0.58/0.65 inference(scs_inference,[],[14,15])). % 0.58/0.65 cnf(33,plain, % 0.58/0.65 (P2(a3,f5(a4))+E(f6(a3,f5(a4)),a3)), % 0.58/0.65 inference(scs_inference,[],[29,17])). % 0.58/0.65 cnf(34,plain, % 0.58/0.65 (E(f6(a3,f5(a4)),a3)), % 0.58/0.65 inference(scs_inference,[],[33,18])). % 0.58/0.65 cnf(37,plain, % 0.58/0.65 (~E(f6(f5(a4),a3),f5(a4))), % 0.58/0.65 inference(scs_inference,[],[34,28])). % 0.58/0.65 cnf(39,plain, % 0.58/0.65 (P2(a3,f5(a4))), % 0.58/0.65 inference(scs_inference,[],[34,19])). % 0.58/0.65 cnf(46,plain, % 0.58/0.65 ($false), % 0.58/0.65 inference(scs_inference,[],[39,37,24]), % 0.58/0.65 ['proof']). % 0.58/0.65 % SZS output end Proof % 0.58/0.65 % Total time :0.010000s %------------------------------------------------------------------------------