%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU219+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 : 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 15:01:50 EDT 2024 % Result : Theorem 0.55s 0.81s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU219+1 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Jun 21 14:33:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.45/0.57 start to proof:theBenchmark % 0.55/0.80 %------------------------------------------- % 0.55/0.80 % File :CSE---1.7 % 0.55/0.80 % Problem :theBenchmark % 0.55/0.80 % Transform :cnf % 0.55/0.80 % Format :tptp:raw % 0.55/0.80 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.80 % 0.55/0.80 % Result :Theorem 0.200000s % 0.55/0.80 % Output :CNFRefutation 0.200000s % 0.55/0.80 %------------------------------------------- % 0.55/0.81 %------------------------------------------------------------------------------ % 0.55/0.81 % File : SEU219+1 : TPTP v8.2.0. Released v3.3.0. % 0.55/0.81 % Domain : Set theory % 0.55/0.81 % Problem : MPTP bushy problem t55_funct_1 % 0.55/0.81 % Version : [Urb07] axioms : Especial. % 0.55/0.81 % English : % 0.55/0.81 % 0.55/0.81 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.55/0.81 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.55/0.81 % Source : [Urb07] % 0.55/0.81 % Names : bushy-t55_funct_1 [Urb07] % 0.55/0.81 % 0.55/0.81 % Status : Theorem % 0.55/0.81 % Rating : 0.06 v8.1.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.00 v5.5.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0 % 0.55/0.81 % Syntax : Number of formulae : 11 ( 2 unt; 0 def) % 0.55/0.81 % Number of atoms : 32 ( 6 equ) % 0.55/0.81 % Maximal formula atoms : 5 ( 2 avg) % 0.55/0.81 % Number of connectives : 21 ( 0 ~; 0 |; 12 &) % 0.55/0.81 % ( 0 <=>; 9 =>; 0 <=; 0 <~>) % 0.55/0.81 % Maximal formula depth : 5 ( 3 avg) % 0.55/0.81 % Maximal term depth : 3 ( 1 avg) % 0.55/0.81 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 0.55/0.81 % Number of functors : 4 ( 4 usr; 0 con; 1-1 aty) % 0.55/0.81 % Number of variables : 9 ( 7 !; 2 ?) % 0.55/0.81 % SPC : FOF_THM_RFO_SEQ % 0.55/0.81 % 0.55/0.81 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.55/0.81 % library, www.mizar.org % 0.55/0.81 %------------------------------------------------------------------------------ % 0.55/0.81 fof(d9_funct_1,axiom, % 0.55/0.81 ! [A] : % 0.55/0.81 ( ( relation(A) % 0.55/0.81 & function(A) ) % 0.55/0.81 => ( one_to_one(A) % 0.55/0.81 => function_inverse(A) = relation_inverse(A) ) ) ). % 0.55/0.81 % 0.55/0.81 fof(dt_k1_relat_1,axiom, % 0.55/0.81 $true ). % 0.55/0.81 % 0.55/0.81 fof(dt_k2_funct_1,axiom, % 0.55/0.81 ! [A] : % 0.55/0.81 ( ( relation(A) % 0.55/0.81 & function(A) ) % 0.55/0.81 => ( relation(function_inverse(A)) % 0.55/0.81 & function(function_inverse(A)) ) ) ). % 0.55/0.81 % 0.55/0.81 fof(dt_k2_relat_1,axiom, % 0.55/0.81 $true ). % 0.55/0.81 % 0.55/0.81 fof(dt_k4_relat_1,axiom, % 0.55/0.81 ! [A] : % 0.55/0.81 ( relation(A) % 0.55/0.81 => relation(relation_inverse(A)) ) ). % 0.55/0.81 % 0.55/0.81 fof(fc3_funct_1,axiom, % 0.55/0.81 ! [A] : % 0.55/0.81 ( ( relation(A) % 0.55/0.81 & function(A) % 0.55/0.81 & one_to_one(A) ) % 0.55/0.81 => ( relation(relation_inverse(A)) % 0.55/0.81 & function(relation_inverse(A)) ) ) ). % 0.55/0.81 % 0.55/0.81 fof(involutiveness_k4_relat_1,axiom, % 0.55/0.81 ! [A] : % 0.55/0.81 ( relation(A) % 0.55/0.81 => relation_inverse(relation_inverse(A)) = A ) ). % 0.55/0.81 % 0.55/0.81 fof(rc1_funct_1,axiom, % 0.55/0.81 ? [A] : % 0.55/0.81 ( relation(A) % 0.55/0.81 & function(A) ) ). % 0.55/0.81 % 0.55/0.81 fof(rc3_funct_1,axiom, % 0.55/0.81 ? [A] : % 0.55/0.81 ( relation(A) % 0.55/0.81 & function(A) % 0.55/0.81 & one_to_one(A) ) ). % 0.55/0.81 % 0.55/0.81 fof(t37_relat_1,axiom, % 0.55/0.81 ! [A] : % 0.55/0.81 ( relation(A) % 0.55/0.81 => ( relation_rng(A) = relation_dom(relation_inverse(A)) % 0.55/0.81 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ). % 0.55/0.81 % 0.55/0.81 fof(t55_funct_1,conjecture, % 0.55/0.81 ! [A] : % 0.55/0.81 ( ( relation(A) % 0.55/0.81 & function(A) ) % 0.55/0.81 => ( one_to_one(A) % 0.55/0.81 => ( relation_rng(A) = relation_dom(function_inverse(A)) % 0.55/0.81 & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ). % 0.55/0.81 % 0.55/0.81 %------------------------------------------------------------------------------ % 0.55/0.81 %------------------------------------------- % 0.55/0.81 % Proof found % 0.55/0.81 % SZS status Theorem for theBenchmark % 0.55/0.81 % SZS output start Proof % 0.55/0.81 %ClaNum:28(EqnAxiom:10) % 0.55/0.81 %VarNum:26(SingletonVarNum:8) % 0.55/0.81 %MaxLitNum:4 % 0.55/0.81 %MaxfuncDepth:2 % 0.55/0.81 %SharedTerms:18 % 0.55/0.81 %goalClause: 13 16 18 26 % 0.55/0.81 %singleGoalClaCount:3 % 0.55/0.81 [11]P1(a1) % 0.55/0.81 [12]P1(a2) % 0.55/0.81 [13]P1(a3) % 0.55/0.81 [14]P2(a1) % 0.55/0.81 [15]P2(a2) % 0.55/0.81 [16]P2(a3) % 0.55/0.81 [17]P3(a2) % 0.55/0.81 [18]P3(a3) % 0.55/0.81 [26]~E(f5(f6(a3)),f7(a3))+~E(f5(a3),f7(f6(a3))) % 0.55/0.81 [19]~P1(x191)+P1(f4(x191)) % 0.55/0.81 [20]~P1(x201)+E(f4(f4(x201)),x201) % 0.55/0.81 [21]~P1(x211)+E(f5(f4(x211)),f7(x211)) % 0.55/0.81 [22]~P1(x221)+E(f7(f4(x221)),f5(x221)) % 0.55/0.81 [23]~P1(x231)+~P2(x231)+P1(f6(x231)) % 0.55/0.81 [24]~P1(x241)+~P2(x241)+P2(f6(x241)) % 0.55/0.81 [25]~P1(x251)+~P2(x251)+~P3(x251)+E(f4(x251),f6(x251)) % 0.55/0.81 [28]~P1(x281)+~P2(x281)+~P3(x281)+P2(f4(x281)) % 0.55/0.81 %EqnAxiom % 0.55/0.81 [1]E(x11,x11) % 0.55/0.81 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.81 [4]~E(x41,x42)+E(f4(x41),f4(x42)) % 0.55/0.81 [5]~E(x51,x52)+E(f7(x51),f7(x52)) % 0.55/0.81 [6]~E(x61,x62)+E(f6(x61),f6(x62)) % 0.55/0.81 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.55/0.81 [8]~P1(x81)+P1(x82)+~E(x81,x82) % 0.55/0.81 [9]~P3(x91)+P3(x92)+~E(x91,x92) % 0.55/0.81 [10]~P2(x101)+P2(x102)+~E(x101,x102) % 0.55/0.81 % 0.55/0.81 %------------------------------------------- % 0.55/0.81 cnf(39,plain, % 0.55/0.81 (~E(f7(a3),f5(f6(a3)))+~E(f5(a3),f7(f6(a3)))), % 0.55/0.81 inference(scs_inference,[],[26,2])). % 0.55/0.81 cnf(40,plain, % 0.55/0.81 (~E(x401,f5(f6(a3)))+~E(f7(a3),x401)+~E(f5(a3),f7(f6(a3)))), % 0.55/0.81 inference(scs_inference,[],[39,3])). % 0.55/0.81 cnf(42,plain, % 0.55/0.81 (~E(f5(f6(a3)),x421)+~E(f7(a3),x421)+~E(f5(a3),f7(f6(a3)))), % 0.55/0.81 inference(scs_inference,[],[40,2])). % 0.55/0.81 cnf(43,plain, % 0.55/0.81 (~E(f6(a3),x431)+~E(f7(a3),f5(x431))+~E(f5(a3),f7(f6(a3)))), % 0.55/0.81 inference(scs_inference,[],[42,7])). % 0.55/0.81 cnf(79,plain, % 0.55/0.81 (E(f7(a3),f5(f4(a3)))), % 0.55/0.81 inference(scs_inference,[],[13,2,21])). % 0.55/0.81 cnf(102,plain, % 0.55/0.81 (E(f5(a3),f7(f4(a3)))), % 0.55/0.81 inference(scs_inference,[],[13,2,22])). % 0.55/0.81 cnf(103,plain, % 0.55/0.81 (E(f7(f4(a3)),f5(a3))), % 0.55/0.81 inference(scs_inference,[],[102,2])). % 0.55/0.81 cnf(126,plain, % 0.55/0.81 (E(f6(a3),f4(a3))), % 0.55/0.81 inference(scs_inference,[],[13,16,18,2,25])). % 0.55/0.81 cnf(127,plain, % 0.55/0.81 (E(f4(a3),f6(a3))), % 0.55/0.81 inference(scs_inference,[],[126,2])). % 0.55/0.81 cnf(152,plain, % 0.55/0.81 (~E(f5(a3),f7(f6(a3)))), % 0.55/0.81 inference(scs_inference,[],[127,79,2,43])). % 0.55/0.81 cnf(153,plain, % 0.55/0.81 (~E(f7(f6(a3)),f7(f4(a3)))), % 0.55/0.81 inference(scs_inference,[],[152,103,2,3])). % 0.55/0.82 cnf(154,plain, % 0.55/0.82 ($false), % 0.55/0.82 inference(scs_inference,[],[126,153,5]), % 0.55/0.82 ['proof']). % 0.55/0.82 % SZS output end Proof % 0.55/0.82 % Total time :0.200000s %------------------------------------------------------------------------------