%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU162+1 : TPTP v8.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n028.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 0.55s 0.63s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU162+1 : TPTP v8.2.0. Released v3.3.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n028.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 12:29:08 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.57 start to proof:theBenchmark % 0.53/0.62 %------------------------------------------- % 0.53/0.62 % File :CSE---1.7 % 0.53/0.62 % Problem :theBenchmark % 0.53/0.62 % Transform :cnf % 0.53/0.62 % Format :tptp:raw % 0.53/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.62 % 0.53/0.62 % Result :Theorem 0.020000s % 0.53/0.62 % Output :CNFRefutation 0.020000s % 0.53/0.62 %------------------------------------------- % 0.53/0.62 %------------------------------------------------------------------------------ % 0.53/0.62 % File : SEU162+1 : TPTP v8.2.0. Released v3.3.0. % 0.53/0.62 % Domain : Set theory % 0.53/0.62 % Problem : MPTP bushy problem t65_zfmisc_1 % 0.53/0.62 % Version : [Urb07] axioms : Especial. % 0.53/0.63 % English : % 0.53/0.63 % 0.53/0.63 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.53/0.63 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.53/0.63 % Source : [Urb07] % 0.53/0.63 % Names : bushy-t65_zfmisc_1 [Urb07] % 0.53/0.63 % 0.53/0.63 % Status : Theorem % 0.53/0.63 % Rating : 0.11 v8.2.0, 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 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.05 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0 % 0.53/0.63 % Syntax : Number of formulae : 8 ( 2 unt; 0 def) % 0.53/0.63 % Number of atoms : 14 ( 2 equ) % 0.53/0.63 % Maximal formula atoms : 2 ( 1 avg) % 0.53/0.63 % Number of connectives : 10 ( 4 ~; 0 |; 1 &) % 0.53/0.63 % ( 2 <=>; 3 =>; 0 <=; 0 <~>) % 0.53/0.63 % Maximal formula depth : 5 ( 4 avg) % 0.53/0.63 % Maximal term depth : 3 ( 1 avg) % 0.53/0.63 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty) % 0.53/0.63 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.53/0.63 % Number of variables : 12 ( 12 !; 0 ?) % 0.53/0.63 % SPC : FOF_THM_RFO_SEQ % 0.53/0.63 % 0.53/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.53/0.63 % library, www.mizar.org % 0.53/0.63 %------------------------------------------------------------------------------ % 0.53/0.63 fof(antisymmetry_r2_hidden,axiom, % 0.53/0.63 ! [A,B] : % 0.53/0.63 ( in(A,B) % 0.53/0.63 => ~ in(B,A) ) ). % 0.53/0.63 % 0.53/0.63 fof(dt_k1_tarski,axiom, % 0.53/0.63 $true ). % 0.53/0.63 % 0.53/0.63 fof(dt_k4_xboole_0,axiom, % 0.53/0.63 $true ). % 0.53/0.63 % 0.53/0.63 fof(l25_zfmisc_1,axiom, % 0.53/0.63 ! [A,B] : % 0.53/0.63 ~ ( disjoint(singleton(A),B) % 0.53/0.63 & in(A,B) ) ). % 0.53/0.63 % 0.53/0.63 fof(l28_zfmisc_1,axiom, % 0.53/0.63 ! [A,B] : % 0.53/0.63 ( ~ in(A,B) % 0.55/0.63 => disjoint(singleton(A),B) ) ). % 0.55/0.63 % 0.55/0.63 fof(symmetry_r1_xboole_0,axiom, % 0.55/0.63 ! [A,B] : % 0.55/0.63 ( disjoint(A,B) % 0.55/0.63 => disjoint(B,A) ) ). % 0.55/0.63 % 0.55/0.63 fof(t65_zfmisc_1,conjecture, % 0.55/0.63 ! [A,B] : % 0.55/0.63 ( set_difference(A,singleton(B)) = A % 0.55/0.63 <=> ~ in(B,A) ) ). % 0.55/0.63 % 0.55/0.63 fof(t83_xboole_1,axiom, % 0.55/0.63 ! [A,B] : % 0.55/0.63 ( disjoint(A,B) % 0.55/0.63 <=> set_difference(A,B) = A ) ). % 0.55/0.63 % 0.55/0.63 %------------------------------------------------------------------------------ % 0.55/0.63 %------------------------------------------- % 0.55/0.63 % Proof found % 0.55/0.63 % SZS status Theorem for theBenchmark % 0.55/0.63 % SZS output start Proof % 0.55/0.63 %ClaNum:18(EqnAxiom:10) % 0.55/0.63 %VarNum:26(SingletonVarNum:12) % 0.55/0.63 %MaxLitNum:2 % 0.55/0.63 %MaxfuncDepth:2 % 0.55/0.63 %SharedTerms:8 % 0.55/0.63 %goalClause: 11 13 % 0.55/0.63 [11]~P1(a2,a1)+E(f4(a1,f3(a2)),a1) % 0.55/0.63 [13]P1(a2,a1)+~E(f4(a1,f3(a2)),a1) % 0.55/0.63 [14]~P2(x142,x141)+P2(x141,x142) % 0.55/0.63 [17]~P1(x172,x171)+~P1(x171,x172) % 0.55/0.63 [12]P1(x121,x122)+P2(f3(x121),x122) % 0.55/0.63 [15]~P2(x151,x152)+E(f4(x151,x152),x151) % 0.55/0.63 [16]P2(x161,x162)+~E(f4(x161,x162),x161) % 0.55/0.63 [18]~P1(x181,x182)+~P2(f3(x181),x182) % 0.55/0.63 %EqnAxiom % 0.55/0.63 [1]E(x11,x11) % 0.55/0.63 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.63 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.55/0.63 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53)) % 0.55/0.63 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62)) % 0.55/0.63 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73) % 0.55/0.63 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81) % 0.55/0.63 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93) % 0.55/0.63 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101) % 0.55/0.63 % 0.55/0.63 %------------------------------------------- % 0.55/0.63 cnf(21,plain, % 0.55/0.63 (~P2(x211,x212)+E(f4(x212,x211),x212)), % 0.55/0.63 inference(scs_inference,[],[14,15])). % 0.55/0.63 cnf(26,plain, % 0.55/0.63 (P2(f3(a2),a1)+E(f4(a1,f3(a2)),a1)), % 0.55/0.63 inference(scs_inference,[],[11,12])). % 0.55/0.63 cnf(30,plain, % 0.55/0.63 (P2(a1,f3(a2))+E(f4(a1,f3(a2)),a1)), % 0.55/0.63 inference(scs_inference,[],[26,14])). % 0.55/0.63 cnf(31,plain, % 0.55/0.63 (E(f4(a1,f3(a2)),a1)), % 0.55/0.63 inference(scs_inference,[],[30,15])). % 0.55/0.63 cnf(32,plain, % 0.55/0.63 (P1(a2,a1)), % 0.55/0.63 inference(scs_inference,[],[31,13])). % 0.55/0.63 cnf(44,plain, % 0.55/0.63 (~P1(a2,a1)), % 0.55/0.63 inference(scs_inference,[],[31,16,2,9,21,14,18])). % 0.55/0.63 cnf(51,plain, % 0.55/0.63 ($false), % 0.55/0.63 inference(scs_inference,[],[32,44]), % 0.55/0.63 ['proof']). % 0.55/0.63 % SZS output end Proof % 0.55/0.63 % Total time :0.020000s %------------------------------------------------------------------------------