%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN349+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n029.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 19:05:16 EDT 2024 % Result : Theorem 0.56s 0.67s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN349+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Jun 23 20:40:54 EDT 2024 % 0.12/0.34 % CPUTime : % 0.21/0.58 start to proof:theBenchmark % 0.56/0.66 %------------------------------------------- % 0.56/0.66 % File :CSE---1.7 % 0.56/0.66 % Problem :theBenchmark % 0.56/0.66 % Transform :cnf % 0.56/0.66 % Format :tptp:raw % 0.56/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.66 % 0.56/0.66 % Result :Theorem 0.050000s % 0.56/0.66 % Output :CNFRefutation 0.050000s % 0.56/0.66 %------------------------------------------- % 0.56/0.67 %-------------------------------------------------------------------------- % 0.56/0.67 % File : SYN349+1 : TPTP v8.2.0. Released v2.0.0. % 0.56/0.67 % Domain : Syntactic % 0.56/0.67 % Problem : Church problem 46.17 (5) % 0.56/0.67 % Version : Especial. % 0.56/0.67 % English : % 0.56/0.67 % 0.56/0.67 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.56/0.67 % Source : [Chu56] % 0.56/0.67 % Names : 46.17 (5) [Chu56] % 0.56/0.67 % 0.56/0.67 % Status : Theorem % 0.56/0.67 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.15 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 0.56/0.67 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.56/0.67 % Number of atoms : 6 ( 0 equ) % 0.56/0.67 % Maximal formula atoms : 6 ( 6 avg) % 0.56/0.67 % Number of connectives : 5 ( 0 ~; 0 |; 0 &) % 0.56/0.67 % ( 4 <=>; 1 =>; 0 <=; 0 <~>) % 0.56/0.67 % Maximal formula depth : 9 ( 9 avg) % 0.56/0.67 % Maximal term depth : 1 ( 1 avg) % 0.56/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.56/0.67 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.56/0.67 % Number of variables : 4 ( 2 !; 2 ?) % 0.56/0.67 % SPC : FOF_THM_RFO_NEQ % 0.56/0.67 % 0.56/0.67 % Comments : % 0.56/0.67 %-------------------------------------------------------------------------- % 0.56/0.67 fof(church_46_17_5,conjecture, % 0.56/0.67 ? [X1] : % 0.56/0.67 ! [X2] : % 0.56/0.67 ? [X3] : % 0.56/0.67 ! [X4] : % 0.56/0.67 ( ( big_f(X1,X4) % 0.56/0.67 <=> big_f(X2,X4) ) % 0.56/0.67 => ( ( ( big_f(X1,X4) % 0.56/0.67 <=> big_f(X4,X3) ) % 0.56/0.67 <=> big_f(X3,X4) ) % 0.56/0.67 <=> big_f(X4,X2) ) ) ). % 0.56/0.67 % 0.56/0.67 %-------------------------------------------------------------------------- % 0.56/0.67 %------------------------------------------- % 0.56/0.67 % Proof found % 0.56/0.67 % SZS status Theorem for theBenchmark % 0.56/0.67 % SZS output start Proof % 0.56/0.67 %ClaNum:10(EqnAxiom:0) % 0.56/0.67 %VarNum:108(SingletonVarNum:20) % 0.56/0.67 %MaxLitNum:4 % 0.56/0.67 %MaxfuncDepth:1 % 0.56/0.67 %SharedTerms:0 % 0.56/0.67 %goalClause: 1 2 3 4 5 6 7 8 9 10 % 0.56/0.67 [1]P1(f1(x11),f2(x11,x12))+~P1(x11,f2(x11,x12)) % 0.56/0.67 [2]P1(x21,f2(x21,x22))+~P1(f1(x21),f2(x21,x22)) % 0.56/0.67 [3]P1(x31,f2(x32,x31))+P1(x32,f2(x32,x31))+P1(f2(x32,x31),x31)+P1(f2(x32,x31),f1(x32)) % 0.56/0.67 [4]P1(x41,f2(x42,x41))+P1(f2(x42,x41),f1(x42))+~P1(x42,f2(x42,x41))+~P1(f2(x42,x41),x41) % 0.56/0.67 [5]P1(x51,f2(x51,x52))+P1(f2(x51,x52),f1(x51))+~P1(x52,f2(x51,x52))+~P1(f2(x51,x52),x52) % 0.56/0.67 [6]P1(f2(x61,x62),x62)+P1(f2(x61,x62),f1(x61))+~P1(x62,f2(x61,x62))+~P1(x61,f2(x61,x62)) % 0.56/0.67 [7]P1(x71,f2(x72,x71))+P1(x72,f2(x72,x71))+~P1(f2(x72,x71),x71)+~P1(f2(x72,x71),f1(x72)) % 0.56/0.67 [8]P1(x81,f2(x82,x81))+P1(f2(x82,x81),x81)+~P1(x82,f2(x82,x81))+~P1(f2(x82,x81),f1(x82)) % 0.56/0.67 [9]P1(x91,f2(x91,x92))+P1(f2(x91,x92),x92)+~P1(x92,f2(x91,x92))+~P1(f2(x91,x92),f1(x91)) % 0.56/0.67 [10]~P1(x101,f2(x102,x101))+~P1(x102,f2(x102,x101))+~P1(f2(x102,x101),x101)+~P1(f2(x102,x101),f1(x102)) % 0.56/0.67 %EqnAxiom % 0.56/0.67 % 0.56/0.67 %------------------------------------------- % 0.56/0.67 cnf(13,plain, % 0.56/0.67 (P1(f2(x131,f1(x131)),f1(x131))+~P1(x131,f2(x131,f1(x131)))), % 0.56/0.67 inference(scs_inference,[],[1,6])). % 0.56/0.67 cnf(14,plain, % 0.56/0.67 (~P1(f1(x141),f2(x141,f1(x141)))+~P1(x141,f2(x141,f1(x141)))+~P1(f2(x141,f1(x141)),f1(x141))), % 0.56/0.67 inference(scs_inference,[],[13,10])). % 0.56/0.67 cnf(15,plain, % 0.56/0.67 (~P1(f2(x151,f1(x151)),f1(x151))+~P1(x151,f2(x151,f1(x151)))), % 0.56/0.67 inference(scs_inference,[],[14,1])). % 0.56/0.67 cnf(16,plain, % 0.56/0.67 (~P1(x161,f2(x161,f1(x161)))), % 0.56/0.67 inference(scs_inference,[],[15,13])). % 0.56/0.67 cnf(71,plain, % 0.56/0.67 (~P1(f2(x711,f1(x711)),f1(x711))), % 0.56/0.67 inference(scs_inference,[],[16,2,7])). % 0.56/0.67 cnf(72,plain, % 0.56/0.67 (P1(f1(x721),f2(x721,f1(x721)))), % 0.56/0.67 inference(scs_inference,[],[71,1,3])). % 0.56/0.67 cnf(73,plain, % 0.56/0.67 ($false), % 0.56/0.67 inference(scs_inference,[],[16,72,2]), % 0.56/0.67 ['proof']). % 0.56/0.68 % SZS output end Proof % 0.56/0.68 % Total time :0.050000s %------------------------------------------------------------------------------