%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU120+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 : n021.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 15:01:07 EDT 2024 % Result : Theorem 0.66s 0.72s % Output : CNFRefutation 0.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU120+1 : TPTP v8.2.0. Released v3.3.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n021.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Jun 21 15:42:24 EDT 2024 % 0.13/0.34 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.66/0.72 %------------------------------------------- % 0.66/0.72 % File :CSE---1.7 % 0.66/0.72 % Problem :theBenchmark % 0.66/0.72 % Transform :cnf % 0.66/0.72 % Format :tptp:raw % 0.66/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.66/0.72 % 0.66/0.72 % Result :Theorem 0.100000s % 0.66/0.72 % Output :CNFRefutation 0.100000s % 0.66/0.72 %------------------------------------------- % 0.66/0.72 %------------------------------------------------------------------------------ % 0.66/0.72 % File : SEU120+1 : TPTP v8.2.0. Released v3.3.0. % 0.66/0.72 % Domain : Set theory % 0.66/0.72 % Problem : MPTP bushy problem t4_xboole_0 % 0.66/0.72 % Version : [Urb07] axioms : Especial. % 0.66/0.72 % English : % 0.66/0.72 % 0.66/0.72 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.66/0.72 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.66/0.72 % Source : [Urb07] % 0.66/0.72 % Names : bushy-t4_xboole_0 [Urb07] % 0.66/0.72 % 0.66/0.72 % Status : Theorem % 0.66/0.72 % Rating : 0.03 v7.2.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0 % 0.66/0.72 % Syntax : Number of formulae : 12 ( 7 unt; 0 def) % 0.66/0.72 % Number of atoms : 19 ( 4 equ) % 0.66/0.72 % Maximal formula atoms : 4 ( 1 avg) % 0.66/0.72 % Number of connectives : 14 ( 7 ~; 0 |; 3 &) % 0.66/0.72 % ( 2 <=>; 2 =>; 0 <=; 0 <~>) % 0.66/0.72 % Maximal formula depth : 8 ( 3 avg) % 0.66/0.72 % Maximal term depth : 2 ( 1 avg) % 0.66/0.72 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 0.66/0.72 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty) % 0.66/0.72 % Number of variables : 18 ( 15 !; 3 ?) % 0.66/0.72 % SPC : FOF_THM_RFO_SEQ % 0.66/0.72 % 0.66/0.72 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.66/0.72 % library, www.mizar.org % 0.66/0.72 %------------------------------------------------------------------------------ % 0.66/0.72 fof(antisymmetry_r2_hidden,axiom, % 0.66/0.72 ! [A,B] : % 0.66/0.72 ( in(A,B) % 0.66/0.72 => ~ in(B,A) ) ). % 0.66/0.72 % 0.66/0.72 fof(commutativity_k3_xboole_0,axiom, % 0.66/0.72 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 0.66/0.72 % 0.66/0.72 fof(d1_xboole_0,axiom, % 0.66/0.72 ! [A] : % 0.66/0.72 ( A = empty_set % 0.66/0.72 <=> ! [B] : ~ in(B,A) ) ). % 0.66/0.72 % 0.66/0.72 fof(d7_xboole_0,axiom, % 0.66/0.72 ! [A,B] : % 0.66/0.72 ( disjoint(A,B) % 0.66/0.72 <=> set_intersection2(A,B) = empty_set ) ). % 0.66/0.72 % 0.66/0.72 fof(dt_k1_xboole_0,axiom, % 0.66/0.72 $true ). % 0.66/0.72 % 0.66/0.72 fof(dt_k3_xboole_0,axiom, % 0.66/0.72 $true ). % 0.66/0.72 % 0.66/0.72 fof(fc1_xboole_0,axiom, % 0.66/0.72 empty(empty_set) ). % 0.66/0.72 % 0.66/0.72 fof(idempotence_k3_xboole_0,axiom, % 0.66/0.72 ! [A,B] : set_intersection2(A,A) = A ). % 0.66/0.72 % 0.66/0.72 fof(rc1_xboole_0,axiom, % 0.66/0.72 ? [A] : empty(A) ). % 0.66/0.72 % 0.66/0.72 fof(rc2_xboole_0,axiom, % 0.66/0.72 ? [A] : ~ empty(A) ). % 0.66/0.72 % 0.66/0.72 fof(symmetry_r1_xboole_0,axiom, % 0.66/0.72 ! [A,B] : % 0.66/0.72 ( disjoint(A,B) % 0.66/0.72 => disjoint(B,A) ) ). % 0.66/0.72 % 0.66/0.72 fof(t4_xboole_0,conjecture, % 0.66/0.72 ! [A,B] : % 0.66/0.72 ( ~ ( ~ disjoint(A,B) % 0.66/0.72 & ! [C] : ~ in(C,set_intersection2(A,B)) ) % 0.66/0.72 & ~ ( ? [C] : in(C,set_intersection2(A,B)) % 0.66/0.72 & disjoint(A,B) ) ) ). % 0.66/0.72 % 0.66/0.72 %------------------------------------------------------------------------------ % 0.66/0.72 %------------------------------------------- % 0.66/0.72 % Proof found % 0.66/0.72 % SZS status Theorem for theBenchmark % 0.66/0.72 % SZS output start Proof % 0.66/0.72 %ClaNum:26(EqnAxiom:11) % 0.66/0.72 %VarNum:31(SingletonVarNum:16) % 0.66/0.72 %MaxLitNum:2 % 0.66/0.72 %MaxfuncDepth:1 % 0.66/0.72 %SharedTerms:16 % 0.66/0.72 %goalClause: 19 24 25 26 % 0.66/0.73 [12]P1(a1) % 0.66/0.73 [13]P1(a2) % 0.66/0.73 [16]~P1(a5) % 0.66/0.73 [14]E(f4(x141,x141),x141) % 0.66/0.73 [15]E(f4(x151,x152),f4(x152,x151)) % 0.66/0.73 [19]P2(a6,a9)+~P2(a7,a8) % 0.66/0.73 [24]~P2(a7,a8)+P3(a10,f4(a6,a9)) % 0.66/0.73 [17]P3(f3(x171),x171)+E(x171,a1) % 0.66/0.73 [25]P2(a6,a9)+~P3(x251,f4(a7,a8)) % 0.66/0.73 [26]~P3(x261,f4(a7,a8))+P3(a10,f4(a6,a9)) % 0.66/0.73 [18]~P3(x182,x181)+~E(x181,a1) % 0.66/0.73 [22]~P2(x222,x221)+P2(x221,x222) % 0.66/0.73 [23]~P3(x232,x231)+~P3(x231,x232) % 0.66/0.73 [20]~P2(x201,x202)+E(f4(x201,x202),a1) % 0.66/0.73 [21]P2(x211,x212)+~E(f4(x211,x212),a1) % 0.66/0.73 %EqnAxiom % 0.66/0.73 [1]E(x11,x11) % 0.66/0.73 [2]E(x22,x21)+~E(x21,x22) % 0.66/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.66/0.73 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43)) % 0.66/0.73 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52)) % 0.66/0.73 [6]~E(x61,x62)+E(f3(x61),f3(x62)) % 0.66/0.73 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.66/0.73 [8]P3(x82,x83)+~E(x81,x82)+~P3(x81,x83) % 0.66/0.73 [9]P3(x93,x92)+~E(x91,x92)+~P3(x93,x91) % 0.66/0.73 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103) % 0.66/0.73 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111) % 0.66/0.73 % 0.66/0.73 %------------------------------------------- % 0.66/0.73 cnf(29,plain, % 0.66/0.73 (E(f4(x291,x291),x291)), % 0.66/0.73 inference(rename_variables,[],[14])). % 0.66/0.73 cnf(32,plain, % 0.66/0.73 (E(f4(x321,x321),x321)), % 0.66/0.73 inference(rename_variables,[],[14])). % 0.66/0.73 cnf(34,plain, % 0.66/0.73 (E(x341,f4(x341,x341))), % 0.66/0.73 inference(scs_inference,[],[14,29,32,18,21,2])). % 0.66/0.73 cnf(35,plain, % 0.66/0.73 (P2(f4(a1,a1),a1)), % 0.66/0.73 inference(scs_inference,[],[14,29,32,18,21,2,10])). % 0.66/0.73 cnf(38,plain, % 0.66/0.73 (E(f4(x381,x382),f4(f4(x382,x381),f4(x382,x381)))), % 0.66/0.73 inference(scs_inference,[],[34,15,3])). % 0.66/0.73 cnf(46,plain, % 0.66/0.73 (E(x461,f4(f4(x461,x461),f4(x461,x461)))), % 0.66/0.73 inference(scs_inference,[],[34,38,2,3])). % 0.66/0.73 cnf(55,plain, % 0.66/0.73 (~P3(x551,f4(f4(a1,a1),f4(a1,a1)))), % 0.66/0.73 inference(scs_inference,[],[35,34,46,2,10,18])). % 0.66/0.73 cnf(57,plain, % 0.66/0.73 (~P2(a7,a8)+E(f4(a6,a9),a1)), % 0.66/0.73 inference(scs_inference,[],[19,20])). % 0.66/0.73 cnf(63,plain, % 0.66/0.73 (~P3(x631,f3(x631))+E(x631,a1)), % 0.66/0.73 inference(scs_inference,[],[23,17])). % 0.66/0.73 cnf(66,plain, % 0.66/0.73 (~E(f4(a7,a8),a1)+P3(a10,f4(a6,a9))), % 0.66/0.73 inference(scs_inference,[],[24,21])). % 0.66/0.73 cnf(67,plain, % 0.66/0.73 (P2(a9,a6)+~P3(x671,f4(a7,a8))), % 0.66/0.73 inference(scs_inference,[],[25,22])). % 0.66/0.73 cnf(68,plain, % 0.66/0.73 (E(f4(a6,a9),a1)+~E(f4(a7,a8),a1)), % 0.66/0.73 inference(scs_inference,[],[57,21])). % 0.66/0.73 cnf(69,plain, % 0.66/0.73 (E(f4(a7,a8),a1)+P2(a9,a6)), % 0.66/0.73 inference(scs_inference,[],[67,17])). % 0.66/0.73 cnf(73,plain, % 0.66/0.73 (E(f4(a7,a8),a1)+P3(a10,f4(a6,a9))), % 0.66/0.73 inference(scs_inference,[],[26,17])). % 0.66/0.73 cnf(74,plain, % 0.66/0.73 (P3(a10,f4(a6,a9))), % 0.66/0.73 inference(scs_inference,[],[66,73])). % 0.66/0.73 cnf(77,plain, % 0.66/0.73 (P3(f4(a10,a10),f4(a6,a9))), % 0.66/0.73 inference(scs_inference,[],[74,34,23,8])). % 0.66/0.73 cnf(79,plain, % 0.66/0.73 (~E(f4(a6,a9),f4(f4(a1,a1),f4(a1,a1)))), % 0.66/0.73 inference(scs_inference,[],[74,55,34,23,8,9])). % 0.66/0.73 cnf(93,plain, % 0.66/0.73 (~P2(a6,a9)), % 0.66/0.73 inference(scs_inference,[],[38,79,77,46,23,8,3,57,17,20])). % 0.66/0.73 cnf(97,plain, % 0.66/0.73 (~E(f4(a7,a8),a1)), % 0.66/0.73 inference(scs_inference,[],[38,79,77,46,23,8,3,57,17,20,63,68])). % 0.66/0.73 cnf(102,plain, % 0.66/0.73 (P2(a9,a6)), % 0.66/0.73 inference(scs_inference,[],[97,69])). % 0.66/0.73 cnf(104,plain, % 0.66/0.73 ($false), % 0.66/0.73 inference(scs_inference,[],[102,93,22]), % 0.66/0.73 ['proof']). % 0.66/0.73 % SZS output end Proof % 0.66/0.73 % Total time :0.100000s %------------------------------------------------------------------------------