%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET954+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n028.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 14:23:05 EDT 2024 % Result : Theorem 0.47s 0.62s % Output : CNFRefutation 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET954+1 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n028.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 : Sun Jun 23 11:26:09 EDT 2024 % 0.13/0.34 % CPUTime : % 0.47/0.58 start to proof:theBenchmark % 0.47/0.61 %------------------------------------------- % 0.47/0.61 % File :CSE---1.7 % 0.47/0.61 % Problem :theBenchmark % 0.47/0.61 % Transform :cnf % 0.47/0.61 % Format :tptp:raw % 0.47/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.47/0.61 % 0.47/0.61 % Result :Theorem 0.000000s % 0.47/0.61 % Output :CNFRefutation 0.000000s % 0.47/0.61 %------------------------------------------- % 0.47/0.61 %------------------------------------------------------------------------------ % 0.47/0.61 % File : SET954+1 : TPTP v8.2.0. Released v3.2.0. % 0.47/0.61 % Domain : Set theory % 0.47/0.61 % Problem : in(o_pair(A,B),cart_prod(C,D)) => in(o_pair(B,A),cart_prod(D,C)) % 0.47/0.61 % Version : [Urb06] axioms : Especial. % 0.47/0.61 % English : % 0.47/0.61 % 0.47/0.61 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.47/0.61 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.47/0.61 % Source : [Urb06] % 0.47/0.61 % Names : zfmisc_1__t107_zfmisc_1 [Urb06] % 0.47/0.61 % 0.47/0.61 % Status : Theorem % 0.47/0.61 % Rating : 0.06 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.07 v3.2.0 % 0.47/0.61 % Syntax : Number of formulae : 8 ( 5 unt; 0 def) % 0.47/0.61 % Number of atoms : 12 ( 2 equ) % 0.47/0.61 % Maximal formula atoms : 3 ( 1 avg) % 0.47/0.61 % Number of connectives : 7 ( 3 ~; 0 |; 1 &) % 0.47/0.61 % ( 1 <=>; 2 =>; 0 <=; 0 <~>) % 0.47/0.61 % Maximal formula depth : 7 ( 4 avg) % 0.47/0.61 % Maximal term depth : 3 ( 1 avg) % 0.47/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.47/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty) % 0.47/0.62 % Number of variables : 18 ( 16 !; 2 ?) % 0.47/0.62 % SPC : FOF_THM_RFO_SEQ % 0.47/0.62 % 0.47/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.47/0.62 % library, www.mizar.org % 0.47/0.62 %------------------------------------------------------------------------------ % 0.47/0.62 fof(antisymmetry_r2_hidden,axiom, % 0.47/0.62 ! [A,B] : % 0.47/0.62 ( in(A,B) % 0.47/0.62 => ~ in(B,A) ) ). % 0.47/0.62 % 0.47/0.62 fof(commutativity_k2_tarski,axiom, % 0.47/0.62 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.47/0.62 % 0.47/0.62 fof(d5_tarski,axiom, % 0.47/0.62 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ). % 0.47/0.62 % 0.47/0.62 fof(fc1_zfmisc_1,axiom, % 0.47/0.62 ! [A,B] : ~ empty(ordered_pair(A,B)) ). % 0.47/0.62 % 0.47/0.62 fof(l55_zfmisc_1,axiom, % 0.47/0.62 ! [A,B,C,D] : % 0.47/0.62 ( in(ordered_pair(A,B),cartesian_product2(C,D)) % 0.47/0.62 <=> ( in(A,C) % 0.47/0.62 & in(B,D) ) ) ). % 0.47/0.62 % 0.47/0.62 fof(rc1_xboole_0,axiom, % 0.47/0.62 ? [A] : empty(A) ). % 0.47/0.62 % 0.47/0.62 fof(rc2_xboole_0,axiom, % 0.47/0.62 ? [A] : ~ empty(A) ). % 0.47/0.62 % 0.47/0.62 fof(t107_zfmisc_1,conjecture, % 0.47/0.62 ! [A,B,C,D] : % 0.47/0.62 ( in(ordered_pair(A,B),cartesian_product2(C,D)) % 0.47/0.62 => in(ordered_pair(B,A),cartesian_product2(D,C)) ) ). % 0.47/0.62 % 0.47/0.62 %------------------------------------------------------------------------------ % 0.47/0.62 %------------------------------------------- % 0.47/0.62 % Proof found % 0.47/0.62 % SZS status Theorem for theBenchmark % 0.47/0.62 % SZS output start Proof % 0.47/0.62 %ClaNum:21(EqnAxiom:11) % 0.47/0.62 %VarNum:34(SingletonVarNum:18) % 0.47/0.62 %MaxLitNum:3 % 0.47/0.62 %MaxfuncDepth:2 % 0.47/0.62 %SharedTerms:18 % 0.47/0.62 %goalClause: 14 17 % 0.47/0.62 %singleGoalClaCount:2 % 0.47/0.62 [12]P1(a1) % 0.47/0.62 [15]~P1(a5) % 0.47/0.62 [14]P2(f3(f3(a4,a6),f7(a4)),f2(a8,a9)) % 0.47/0.62 [17]~P2(f3(f3(a6,a4),f7(a6)),f2(a9,a8)) % 0.47/0.62 [13]E(f3(x131,x132),f3(x132,x131)) % 0.47/0.62 [16]~P1(f3(f3(x161,x162),f7(x161))) % 0.47/0.62 [18]~P2(x182,x181)+~P2(x181,x182) % 0.47/0.62 [20]P2(x201,x202)+~P2(f3(f3(x203,x201),f7(x203)),f2(x204,x202)) % 0.47/0.62 [21]P2(x211,x212)+~P2(f3(f3(x211,x213),f7(x211)),f2(x212,x214)) % 0.47/0.62 [19]~P2(x192,x194)+~P2(x191,x193)+P2(f3(f3(x191,x192),f7(x191)),f2(x193,x194)) % 0.47/0.62 %EqnAxiom % 0.47/0.62 [1]E(x11,x11) % 0.47/0.62 [2]E(x22,x21)+~E(x21,x22) % 0.47/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.47/0.62 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.47/0.62 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.47/0.62 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63)) % 0.47/0.62 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72)) % 0.47/0.62 [8]~E(x81,x82)+E(f7(x81),f7(x82)) % 0.47/0.62 [9]~P1(x91)+P1(x92)+~E(x91,x92) % 0.47/0.62 [10]P2(x102,x103)+~E(x101,x102)+~P2(x101,x103) % 0.47/0.62 [11]P2(x113,x112)+~E(x111,x112)+~P2(x113,x111) % 0.47/0.62 % 0.47/0.62 %------------------------------------------- % 0.47/0.62 cnf(28,plain, % 0.47/0.62 ($false), % 0.47/0.62 inference(scs_inference,[],[14,17,18,20,21,19]), % 0.47/0.62 ['proof']). % 0.47/0.62 % SZS output end Proof % 0.47/0.62 % Total time :0.000000s %------------------------------------------------------------------------------