%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU134+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 : 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 15:01:14 EDT 2024 % Result : Theorem 1.44s 1.55s % Output : CNFRefutation 1.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SEU134+1 : TPTP v8.2.0. Released v3.3.0. % 0.11/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n023.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 21 17:50:39 EDT 2024 % 0.11/0.32 % CPUTime : % 0.17/0.56 start to proof:theBenchmark % 1.44/1.54 %------------------------------------------- % 1.44/1.54 % File :CSE---1.7 % 1.44/1.54 % Problem :theBenchmark % 1.44/1.54 % Transform :cnf % 1.44/1.54 % Format :tptp:raw % 1.44/1.54 % Command :java -jar mcs_scs.jar %d %s % 1.44/1.54 % 1.44/1.54 % Result :Theorem 0.940000s % 1.44/1.54 % Output :CNFRefutation 0.940000s % 1.44/1.54 %------------------------------------------- % 1.44/1.55 %------------------------------------------------------------------------------ % 1.44/1.55 % File : SEU134+1 : TPTP v8.2.0. Released v3.3.0. % 1.44/1.55 % Domain : Set theory % 1.44/1.55 % Problem : MPTP bushy problem t37_xboole_1 % 1.44/1.55 % Version : [Urb07] axioms : Especial. % 1.44/1.55 % English : % 1.44/1.55 % 1.44/1.55 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 1.44/1.55 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 1.44/1.55 % Source : [Urb07] % 1.44/1.55 % Names : bushy-t37_xboole_1 [Urb07] % 1.44/1.55 % 1.44/1.55 % Status : Theorem % 1.44/1.55 % Rating : 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.03 v6.0.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.3.0 % 1.44/1.55 % Syntax : Number of formulae : 14 ( 8 unt; 0 def) % 1.44/1.55 % Number of atoms : 21 ( 6 equ) % 1.44/1.55 % Maximal formula atoms : 3 ( 1 avg) % 1.44/1.55 % Number of connectives : 12 ( 5 ~; 0 |; 3 &) % 1.44/1.55 % ( 2 <=>; 2 =>; 0 <=; 0 <~>) % 1.44/1.55 % Maximal formula depth : 7 ( 3 avg) % 1.44/1.55 % Maximal term depth : 2 ( 1 avg) % 1.44/1.55 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 1.44/1.55 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty) % 1.44/1.55 % Number of variables : 17 ( 15 !; 2 ?) % 1.44/1.55 % SPC : FOF_THM_RFO_SEQ % 1.44/1.55 % 1.44/1.55 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 1.44/1.55 % library, www.mizar.org % 1.44/1.55 %------------------------------------------------------------------------------ % 1.44/1.55 fof(antisymmetry_r2_hidden,axiom, % 1.44/1.55 ! [A,B] : % 1.44/1.55 ( in(A,B) % 1.44/1.55 => ~ in(B,A) ) ). % 1.44/1.55 % 1.44/1.55 fof(rc1_xboole_0,axiom, % 1.44/1.55 ? [A] : empty(A) ). % 1.44/1.55 % 1.44/1.55 fof(rc2_xboole_0,axiom, % 1.44/1.55 ? [A] : ~ empty(A) ). % 1.44/1.55 % 1.44/1.55 fof(t7_boole,axiom, % 1.44/1.55 ! [A,B] : % 1.44/1.55 ~ ( in(A,B) % 1.44/1.55 & empty(B) ) ). % 1.44/1.55 % 1.44/1.55 fof(t8_boole,axiom, % 1.44/1.55 ! [A,B] : % 1.44/1.55 ~ ( empty(A) % 1.44/1.55 & A != B % 1.44/1.55 & empty(B) ) ). % 1.44/1.55 % 1.44/1.55 fof(reflexivity_r1_tarski,axiom, % 1.44/1.55 ! [A,B] : subset(A,A) ). % 1.44/1.55 % 1.44/1.55 fof(dt_k1_xboole_0,axiom, % 1.44/1.55 $true ). % 1.44/1.55 % 1.44/1.55 fof(dt_k4_xboole_0,axiom, % 1.44/1.55 $true ). % 1.44/1.55 % 1.44/1.55 fof(fc1_xboole_0,axiom, % 1.44/1.55 empty(empty_set) ). % 1.44/1.55 % 1.44/1.55 fof(t3_boole,axiom, % 1.44/1.55 ! [A] : set_difference(A,empty_set) = A ). % 1.44/1.55 % 1.44/1.55 fof(t4_boole,axiom, % 1.44/1.55 ! [A] : set_difference(empty_set,A) = empty_set ). % 1.44/1.55 % 1.44/1.55 fof(t6_boole,axiom, % 1.44/1.55 ! [A] : % 1.44/1.55 ( empty(A) % 1.44/1.55 => A = empty_set ) ). % 1.44/1.55 % 1.44/1.55 fof(t37_xboole_1,conjecture, % 1.44/1.55 ! [A,B] : % 1.44/1.55 ( set_difference(A,B) = empty_set % 1.44/1.55 <=> subset(A,B) ) ). % 1.44/1.55 % 1.44/1.55 fof(l32_xboole_1,axiom, % 1.44/1.55 ! [A,B] : % 1.44/1.55 ( set_difference(A,B) = empty_set % 1.44/1.55 <=> subset(A,B) ) ). % 1.44/1.55 % 1.44/1.55 %------------------------------------------------------------------------------ % 1.44/1.55 %------------------------------------------- % 1.44/1.55 % Proof found % 1.44/1.55 % SZS status Theorem for theBenchmark % 1.44/1.55 % SZS output start Proof % 1.44/1.55 %ClaNum:24(EqnAxiom:10) % 1.44/1.55 %VarNum:26(SingletonVarNum:14) % 1.44/1.55 %MaxLitNum:3 % 1.44/1.55 %MaxfuncDepth:1 % 1.44/1.55 %SharedTerms:13 % 1.44/1.55 %goalClause: 19 21 % 1.44/1.55 [11]P1(a1) % 1.44/1.55 [12]P1(a2) % 1.44/1.55 [16]~P1(a4) % 1.44/1.55 [15]P2(x151,x151) % 1.44/1.55 [13]E(f3(a1,x131),a1) % 1.44/1.55 [14]E(f3(x141,a1),x141) % 1.44/1.55 [19]P2(a5,a6)+E(f3(a5,a6),a1) % 1.44/1.55 [21]~P2(a5,a6)+~E(f3(a5,a6),a1) % 1.44/1.55 [17]~P1(x171)+E(x171,a1) % 1.44/1.55 [20]~P1(x201)+~P3(x202,x201) % 1.44/1.56 [24]~P3(x242,x241)+~P3(x241,x242) % 1.44/1.56 [22]~P2(x221,x222)+E(f3(x221,x222),a1) % 1.44/1.56 [23]P2(x231,x232)+~E(f3(x231,x232),a1) % 1.44/1.56 [18]~P1(x182)+~P1(x181)+E(x181,x182) % 1.44/1.56 %EqnAxiom % 1.44/1.56 [1]E(x11,x11) % 1.44/1.56 [2]E(x22,x21)+~E(x21,x22) % 1.44/1.56 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.44/1.56 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 1.44/1.56 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 1.44/1.56 [6]~P1(x61)+P1(x62)+~E(x61,x62) % 1.44/1.56 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73) % 1.44/1.56 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81) % 1.44/1.56 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93) % 1.44/1.56 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101) % 1.44/1.56 % 1.44/1.56 %------------------------------------------- % 1.44/1.56 cnf(325,plain, % 1.44/1.56 (E(f3(a5,a6),a1)), % 1.44/1.56 inference(scs_inference,[],[19,22])). % 1.44/1.56 cnf(326,plain, % 1.44/1.56 (~P2(a5,a6)), % 1.44/1.56 inference(scs_inference,[],[325,21])). % 1.44/1.56 cnf(327,plain, % 1.44/1.56 (P2(a5,a6)), % 1.44/1.56 inference(scs_inference,[],[325,23])). % 1.44/1.56 cnf(339,plain, % 1.44/1.56 ($false), % 1.44/1.56 inference(scs_inference,[],[326,327]), % 1.44/1.56 ['proof']). % 1.44/1.56 % SZS output end Proof % 1.44/1.56 % Total time :0.940000s %------------------------------------------------------------------------------