%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET926+1 : 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 : n023.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 14:23:01 EDT 2024 % Result : Theorem 0.11s 0.47s % Output : CNFRefutation 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.07 % Problem : SET926+1 : TPTP v8.2.0. Released v3.2.0. % 0.02/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.07/0.26 % Computer : n023.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 300 % 0.07/0.26 % DateTime : Sun Jun 23 14:05:08 EDT 2024 % 0.10/0.26 % CPUTime : % 0.11/0.44 start to proof:theBenchmark % 0.11/0.47 %------------------------------------------- % 0.11/0.47 % File :CSE---1.7 % 0.11/0.47 % Problem :theBenchmark % 0.11/0.47 % Transform :cnf % 0.11/0.47 % Format :tptp:raw % 0.11/0.47 % Command :java -jar mcs_scs.jar %d %s % 0.11/0.47 % 0.11/0.47 % Result :Theorem 0.000000s % 0.11/0.47 % Output :CNFRefutation 0.000000s % 0.11/0.47 %------------------------------------------- % 0.11/0.47 %------------------------------------------------------------------------------ % 0.11/0.47 % File : SET926+1 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.47 % Domain : Set theory % 0.11/0.47 % Problem : difference(sgtn(A),B) = empty | difference(sgtn(A),B) = sgtn(A) % 0.11/0.47 % Version : [Urb06] axioms : Especial. % 0.11/0.47 % English : % 0.11/0.47 % 0.11/0.47 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.11/0.47 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.11/0.47 % Source : [Urb06] % 0.11/0.47 % Names : zfmisc_1__t69_zfmisc_1 [Urb06] % 0.11/0.47 % 0.11/0.47 % Status : Theorem % 0.11/0.47 % Rating : 0.06 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, 0.04 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0 % 0.11/0.47 % Syntax : Number of formulae : 7 ( 3 unt; 0 def) % 0.11/0.47 % Number of atoms : 11 ( 4 equ) % 0.11/0.47 % Maximal formula atoms : 2 ( 1 avg) % 0.11/0.47 % Number of connectives : 7 ( 3 ~; 1 |; 0 &) % 0.11/0.47 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.11/0.47 % Maximal formula depth : 5 ( 3 avg) % 0.11/0.47 % Maximal term depth : 3 ( 1 avg) % 0.11/0.47 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.11/0.47 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty) % 0.11/0.47 % Number of variables : 10 ( 8 !; 2 ?) % 0.11/0.47 % SPC : FOF_THM_RFO_SEQ % 0.11/0.47 % 0.11/0.47 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.11/0.47 % library, www.mizar.org % 0.11/0.47 %------------------------------------------------------------------------------ % 0.11/0.47 fof(antisymmetry_r2_hidden,axiom, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( in(A,B) % 0.11/0.47 => ~ in(B,A) ) ). % 0.11/0.47 % 0.11/0.47 fof(fc1_xboole_0,axiom, % 0.11/0.47 empty(empty_set) ). % 0.11/0.47 % 0.11/0.47 fof(l34_zfmisc_1,axiom, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( set_difference(singleton(A),B) = singleton(A) % 0.11/0.47 <=> ~ in(A,B) ) ). % 0.11/0.47 % 0.11/0.47 fof(l36_zfmisc_1,axiom, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( set_difference(singleton(A),B) = empty_set % 0.11/0.47 <=> in(A,B) ) ). % 0.11/0.47 % 0.11/0.47 fof(rc1_xboole_0,axiom, % 0.11/0.47 ? [A] : empty(A) ). % 0.11/0.47 % 0.11/0.47 fof(rc2_xboole_0,axiom, % 0.11/0.47 ? [A] : ~ empty(A) ). % 0.11/0.47 % 0.11/0.47 fof(t69_zfmisc_1,conjecture, % 0.11/0.47 ! [A,B] : % 0.11/0.47 ( set_difference(singleton(A),B) = empty_set % 0.11/0.47 | set_difference(singleton(A),B) = singleton(A) ) ). % 0.11/0.47 % 0.11/0.47 %------------------------------------------------------------------------------ % 0.11/0.47 %------------------------------------------- % 0.11/0.47 % Proof found % 0.11/0.47 % SZS status Theorem for theBenchmark % 0.11/0.47 % SZS output start Proof % 0.11/0.47 %ClaNum:19(EqnAxiom:9) % 0.11/0.47 %VarNum:22(SingletonVarNum:10) % 0.11/0.47 %MaxLitNum:2 % 0.11/0.47 %MaxfuncDepth:2 % 0.11/0.47 %SharedTerms:12 % 0.11/0.47 %goalClause: 13 14 % 0.11/0.47 %singleGoalClaCount:2 % 0.11/0.47 [10]P1(a1) % 0.11/0.47 [11]P1(a2) % 0.11/0.47 [12]~P1(a3) % 0.11/0.47 [13]~E(f7(f5(a4),a6),a1) % 0.11/0.47 [14]~E(f7(f5(a4),a6),f5(a4)) % 0.11/0.47 [17]~P2(x172,x171)+~P2(x171,x172) % 0.11/0.47 [15]P2(x151,x152)+E(f7(f5(x151),x152),f5(x151)) % 0.11/0.47 [16]~P2(x161,x162)+E(f7(f5(x161),x162),a1) % 0.11/0.47 [18]P2(x181,x182)+~E(f7(f5(x181),x182),a1) % 0.11/0.47 [19]~P2(x191,x192)+~E(f7(f5(x191),x192),f5(x191)) % 0.11/0.47 %EqnAxiom % 0.11/0.47 [1]E(x11,x11) % 0.11/0.47 [2]E(x22,x21)+~E(x21,x22) % 0.11/0.47 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.11/0.47 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.11/0.47 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53)) % 0.11/0.47 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62)) % 0.11/0.47 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.11/0.47 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.11/0.47 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.11/0.47 % 0.11/0.47 %------------------------------------------- % 0.11/0.48 cnf(22,plain, % 0.11/0.48 ($false), % 0.11/0.48 inference(scs_inference,[],[13,14,16,15]), % 0.11/0.48 ['proof']). % 0.11/0.48 % SZS output end Proof % 0.11/0.48 % Total time :0.000000s %------------------------------------------------------------------------------