%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU167+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 15:01:30 EDT 2024 % Result : Theorem 0.57s 0.63s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SEU167+1 : TPTP v8.2.0. Released v3.3.0. % 0.10/0.12 % 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 10:56:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.57/0.62 %------------------------------------------- % 0.57/0.62 % File :CSE---1.7 % 0.57/0.62 % Problem :theBenchmark % 0.57/0.62 % Transform :cnf % 0.57/0.62 % Format :tptp:raw % 0.57/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.62 % 0.57/0.62 % Result :Theorem 0.020000s % 0.57/0.62 % Output :CNFRefutation 0.020000s % 0.57/0.62 %------------------------------------------- % 0.57/0.63 %------------------------------------------------------------------------------ % 0.57/0.63 % File : SEU167+1 : TPTP v8.2.0. Released v3.3.0. % 0.57/0.63 % Domain : Set theory % 0.57/0.63 % Problem : MPTP bushy problem t119_zfmisc_1 % 0.57/0.63 % Version : [Urb07] axioms : Especial. % 0.57/0.63 % English : % 0.57/0.63 % 0.57/0.63 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.57/0.63 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.57/0.63 % Source : [Urb07] % 0.57/0.63 % Names : bushy-t119_zfmisc_1 [Urb07] % 0.57/0.63 % 0.57/0.63 % Status : Theorem % 0.57/0.63 % Rating : 0.06 v8.2.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v5.5.0, 0.04 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0 % 0.57/0.63 % Syntax : Number of formulae : 5 ( 2 unt; 0 def) % 0.57/0.63 % Number of atoms : 11 ( 0 equ) % 0.57/0.63 % Maximal formula atoms : 3 ( 2 avg) % 0.57/0.63 % Number of connectives : 6 ( 0 ~; 0 |; 3 &) % 0.57/0.63 % ( 0 <=>; 3 =>; 0 <=; 0 <~>) % 0.57/0.63 % Maximal formula depth : 7 ( 5 avg) % 0.57/0.63 % Maximal term depth : 2 ( 1 avg) % 0.57/0.63 % Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty) % 0.57/0.63 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty) % 0.57/0.63 % Number of variables : 12 ( 12 !; 0 ?) % 0.57/0.63 % SPC : FOF_THM_RFO_NEQ % 0.57/0.63 % 0.57/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.57/0.63 % library, www.mizar.org % 0.57/0.63 %------------------------------------------------------------------------------ % 0.57/0.63 fof(dt_k2_zfmisc_1,axiom, % 0.57/0.63 $true ). % 0.57/0.63 % 0.57/0.63 fof(reflexivity_r1_tarski,axiom, % 0.57/0.63 ! [A,B] : subset(A,A) ). % 0.57/0.63 % 0.57/0.63 fof(t118_zfmisc_1,axiom, % 0.57/0.63 ! [A,B,C] : % 0.57/0.63 ( subset(A,B) % 0.57/0.63 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C)) % 0.57/0.63 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ). % 0.57/0.63 % 0.57/0.63 fof(t119_zfmisc_1,conjecture, % 0.57/0.63 ! [A,B,C,D] : % 0.57/0.63 ( ( subset(A,B) % 0.57/0.63 & subset(C,D) ) % 0.57/0.63 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ). % 0.57/0.63 % 0.57/0.63 fof(t1_xboole_1,axiom, % 0.57/0.63 ! [A,B,C] : % 0.57/0.63 ( ( subset(A,B) % 0.57/0.63 & subset(B,C) ) % 0.57/0.63 => subset(A,C) ) ). % 0.57/0.63 % 0.57/0.63 %------------------------------------------------------------------------------ % 0.57/0.63 %------------------------------------------- % 0.57/0.63 % Proof found % 0.57/0.63 % SZS status Theorem for theBenchmark % 0.57/0.63 % SZS output start Proof % 0.57/0.63 %ClaNum:7(EqnAxiom:0) % 0.57/0.63 %VarNum:20(SingletonVarNum:10) % 0.57/0.63 %MaxLitNum:3 % 0.57/0.63 %MaxfuncDepth:1 % 0.57/0.63 %SharedTerms:9 % 0.57/0.63 %goalClause: 1 2 4 % 0.57/0.63 %singleGoalClaCount:3 % 0.57/0.63 [1]P1(a1,a3) % 0.57/0.63 [2]P1(a4,a5) % 0.57/0.63 [4]~P1(f2(a1,a4),f2(a3,a5)) % 0.57/0.63 [3]P1(x31,x31) % 0.57/0.63 [6]~P1(x61,x63)+P1(f2(x61,x62),f2(x63,x62)) % 0.57/0.63 [7]~P1(x72,x73)+P1(f2(x71,x72),f2(x71,x73)) % 0.57/0.63 [5]~P1(x51,x53)+P1(x51,x52)+~P1(x53,x52) % 0.57/0.63 %EqnAxiom % 0.57/0.63 % 0.57/0.63 %------------------------------------------- % 0.57/0.63 cnf(9,plain, % 0.57/0.63 (P1(f2(a1,x91),f2(a3,x91))), % 0.57/0.64 inference(scs_inference,[],[1,3,5,6])). % 0.57/0.64 cnf(22,plain, % 0.57/0.64 (P1(f2(x221,a4),f2(x221,a5))), % 0.57/0.64 inference(scs_inference,[],[2,3,5,7])). % 0.57/0.64 cnf(29,plain, % 0.57/0.64 ($false), % 0.57/0.64 inference(scs_inference,[],[9,4,22,5]), % 0.57/0.64 ['proof']). % 0.57/0.64 % SZS output end Proof % 0.57/0.64 % Total time :0.020000s %------------------------------------------------------------------------------