%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU303+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 : n018.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 15:02:21 EDT 2024 % Result : Theorem 0.51s 0.58s % Output : CNFRefutation 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU303+1 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n018.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 10:50:23 EDT 2024 % 0.11/0.33 % CPUTime : % 0.46/0.54 start to proof:theBenchmark % 0.51/0.58 %------------------------------------------- % 0.51/0.58 % File :CSE---1.7 % 0.51/0.58 % Problem :theBenchmark % 0.51/0.58 % Transform :cnf % 0.51/0.58 % Format :tptp:raw % 0.51/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.51/0.58 % 0.51/0.58 % Result :Theorem 0.000000s % 0.51/0.58 % Output :CNFRefutation 0.000000s % 0.51/0.58 %------------------------------------------- % 0.51/0.58 %------------------------------------------------------------------------------ % 0.51/0.58 % File : SEU303+1 : TPTP v8.2.0. Released v3.3.0. % 0.51/0.58 % Domain : Set theory % 0.51/0.58 % Problem : MPTP bushy problem t26_finset_1 % 0.51/0.58 % Version : [Urb07] axioms : Especial. % 0.51/0.58 % English : % 0.51/0.58 % 0.51/0.58 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.51/0.58 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.51/0.58 % Source : [Urb07] % 0.51/0.58 % Names : bushy-t26_finset_1 [Urb07] % 0.51/0.58 % 0.51/0.58 % Status : Theorem % 0.51/0.58 % Rating : 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, 0.10 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.05 v3.3.0 % 0.51/0.58 % Syntax : Number of formulae : 8 ( 3 unt; 0 def) % 0.51/0.58 % Number of atoms : 19 ( 1 equ) % 0.51/0.58 % Maximal formula atoms : 4 ( 2 avg) % 0.51/0.58 % Number of connectives : 11 ( 0 ~; 0 |; 5 &) % 0.51/0.58 % ( 0 <=>; 6 =>; 0 <=; 0 <~>) % 0.51/0.58 % Maximal formula depth : 6 ( 3 avg) % 0.51/0.58 % Maximal term depth : 3 ( 1 avg) % 0.51/0.58 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 0.51/0.58 % Number of functors : 3 ( 3 usr; 0 con; 1-2 aty) % 0.51/0.58 % Number of variables : 7 ( 6 !; 1 ?) % 0.51/0.58 % SPC : FOF_THM_RFO_SEQ % 0.51/0.58 % 0.51/0.58 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.51/0.58 % library, www.mizar.org % 0.51/0.58 %------------------------------------------------------------------------------ % 0.51/0.58 fof(dt_k1_relat_1,axiom, % 0.51/0.58 $true ). % 0.51/0.58 % 0.51/0.58 fof(dt_k2_relat_1,axiom, % 0.51/0.58 $true ). % 0.51/0.58 % 0.51/0.58 fof(dt_k9_relat_1,axiom, % 0.51/0.58 $true ). % 0.51/0.58 % 0.51/0.58 fof(fc13_finset_1,axiom, % 0.51/0.58 ! [A,B] : % 0.51/0.58 ( ( relation(A) % 0.51/0.58 & function(A) % 0.51/0.58 & finite(B) ) % 0.51/0.58 => finite(relation_image(A,B)) ) ). % 0.51/0.58 % 0.51/0.58 fof(rc1_funct_1,axiom, % 0.51/0.58 ? [A] : % 0.51/0.58 ( relation(A) % 0.51/0.58 & function(A) ) ). % 0.51/0.58 % 0.51/0.58 fof(t146_relat_1,axiom, % 0.51/0.58 ! [A] : % 0.51/0.58 ( relation(A) % 0.51/0.58 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ). % 0.51/0.58 % 0.51/0.58 fof(t17_finset_1,axiom, % 0.51/0.58 ! [A,B] : % 0.51/0.58 ( ( relation(B) % 0.51/0.58 & function(B) ) % 0.51/0.58 => ( finite(A) % 0.51/0.58 => finite(relation_image(B,A)) ) ) ). % 0.51/0.58 % 0.51/0.58 fof(t26_finset_1,conjecture, % 0.51/0.58 ! [A] : % 0.51/0.58 ( ( relation(A) % 0.51/0.58 & function(A) ) % 0.51/0.58 => ( finite(relation_dom(A)) % 0.51/0.58 => finite(relation_rng(A)) ) ) ). % 0.51/0.58 % 0.51/0.58 %------------------------------------------------------------------------------ % 0.51/0.58 %------------------------------------------- % 0.51/0.58 % Proof found % 0.51/0.58 % SZS status Theorem for theBenchmark % 0.51/0.58 % SZS output start Proof % 0.51/0.58 %ClaNum:19(EqnAxiom:10) % 0.51/0.58 %VarNum:9(SingletonVarNum:3) % 0.51/0.58 %MaxLitNum:4 % 0.51/0.58 %MaxfuncDepth:2 % 0.51/0.58 %SharedTerms:10 % 0.51/0.58 %goalClause: 12 14 15 16 % 0.51/0.58 %singleGoalClaCount:4 % 0.51/0.58 [11]P1(a1) % 0.51/0.58 [12]P1(a2) % 0.51/0.58 [13]P2(a1) % 0.51/0.58 [14]P2(a2) % 0.51/0.58 [15]P3(f3(a2)) % 0.51/0.58 [16]~P3(f4(a2)) % 0.51/0.58 [17]~P1(x171)+E(f5(x171,f3(x171)),f4(x171)) % 0.51/0.58 [19]~P1(x191)+~P2(x191)+~P3(x192)+P3(f5(x191,x192)) % 0.51/0.58 %EqnAxiom % 0.51/0.58 [1]E(x11,x11) % 0.51/0.58 [2]E(x22,x21)+~E(x21,x22) % 0.51/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.51/0.58 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.51/0.58 [5]~E(x51,x52)+E(f4(x51),f4(x52)) % 0.51/0.58 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 0.51/0.58 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 0.51/0.58 [8]~P1(x81)+P1(x82)+~E(x81,x82) % 0.51/0.58 [9]~P3(x91)+P3(x92)+~E(x91,x92) % 0.51/0.58 [10]~P2(x101)+P2(x102)+~E(x101,x102) % 0.51/0.58 % 0.51/0.58 %------------------------------------------- % 0.51/0.59 cnf(20,plain, % 0.51/0.59 (E(f4(a2),f5(a2,f3(a2)))), % 0.51/0.59 inference(scs_inference,[],[12,2,17])). % 0.51/0.59 cnf(23,plain, % 0.51/0.59 ($false), % 0.51/0.59 inference(scs_inference,[],[14,15,16,12,20,2,9,19]), % 0.51/0.59 ['proof']). % 0.51/0.59 % SZS output end Proof % 0.51/0.59 % Total time :0.000000s %------------------------------------------------------------------------------