%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN323+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 : n017.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 19:05:09 EDT 2024 % Result : Theorem 0.53s 0.59s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN323+1 : TPTP v8.2.0. Released v2.0.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n017.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Sun Jun 23 20:27:38 EDT 2024 % 0.11/0.33 % CPUTime : % 0.53/0.55 start to proof:theBenchmark % 0.53/0.59 %------------------------------------------- % 0.53/0.59 % File :CSE---1.7 % 0.53/0.59 % Problem :theBenchmark % 0.53/0.59 % Transform :cnf % 0.53/0.59 % Format :tptp:raw % 0.53/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.59 % 0.53/0.59 % Result :Theorem 0.000000s % 0.53/0.59 % Output :CNFRefutation 0.000000s % 0.53/0.59 %------------------------------------------- % 0.53/0.59 %-------------------------------------------------------------------------- % 0.53/0.59 % File : SYN323+1 : TPTP v8.2.0. Released v2.0.0. % 0.53/0.59 % Domain : Syntactic % 0.53/0.59 % Problem : Church problem 46.4 (2) % 0.53/0.59 % Version : Especial. % 0.53/0.59 % English : % 0.53/0.59 % 0.53/0.59 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.53/0.59 % Source : [Chu56] % 0.53/0.59 % Names : 46.4 (2) [Chu56] % 0.53/0.59 % 0.53/0.59 % Status : Theorem % 0.53/0.59 % Rating : 0.00 v5.5.0, 0.11 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 0.53/0.59 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.53/0.59 % Number of atoms : 6 ( 0 equ) % 0.53/0.59 % Maximal formula atoms : 6 ( 6 avg) % 0.53/0.59 % Number of connectives : 7 ( 2 ~; 0 |; 0 &) % 0.53/0.59 % ( 0 <=>; 5 =>; 0 <=; 0 <~>) % 0.53/0.59 % Maximal formula depth : 7 ( 7 avg) % 0.53/0.59 % Maximal term depth : 1 ( 1 avg) % 0.53/0.59 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty) % 0.53/0.59 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.53/0.59 % Number of variables : 3 ( 2 !; 1 ?) % 0.53/0.59 % SPC : FOF_THM_EPR_NEQ % 0.53/0.59 % 0.53/0.59 % Comments : The free variable is existentially quantified. Based on CNF. % 0.53/0.59 %-------------------------------------------------------------------------- % 0.53/0.59 fof(church_46_4_2,conjecture, % 0.53/0.59 ? [Y] : % 0.53/0.59 ( ! [X] : % 0.53/0.59 ( ( big_f(X,Y) % 0.53/0.59 => big_f(Y,X) ) % 0.53/0.59 => big_g(X,Y) ) % 0.53/0.59 => ~ ! [X] : % 0.53/0.59 ( ( big_f(X,Y) % 0.53/0.59 => big_f(Y,X) ) % 0.53/0.59 => ~ big_g(X,Y) ) ) ). % 0.53/0.59 % 0.53/0.59 %-------------------------------------------------------------------------- % 0.53/0.59 %------------------------------------------- % 0.53/0.59 % Proof found % 0.53/0.59 % SZS status Theorem for theBenchmark % 0.53/0.59 % SZS output start Proof % 0.53/0.59 %ClaNum:4(EqnAxiom:0) % 0.53/0.59 %VarNum:16(SingletonVarNum:8) % 0.53/0.59 %MaxLitNum:2 % 0.53/0.59 %MaxfuncDepth:0 % 0.53/0.59 %SharedTerms:0 % 0.53/0.59 %goalClause: 1 2 3 4 % 0.53/0.59 [1]P2(x11,x12)+P1(x11,x12) % 0.53/0.59 [2]~P2(x21,x22)+P1(x21,x22) % 0.53/0.59 [3]~P1(x32,x31)+P2(x31,x32) % 0.53/0.59 [4]~P2(x42,x41)+~P1(x41,x42) % 0.53/0.59 %EqnAxiom % 0.53/0.59 % 0.53/0.59 %------------------------------------------- % 0.53/0.60 cnf(8,plain, % 0.53/0.60 (P1(x81,x82)), % 0.53/0.60 inference(scs_inference,[],[1,2])). % 0.53/0.60 cnf(11,plain, % 0.53/0.60 ($false), % 0.53/0.60 inference(scs_inference,[],[8,3,4]), % 0.53/0.60 ['proof']). % 0.53/0.60 % SZS output end Proof % 0.53/0.60 % Total time :0.000000s %------------------------------------------------------------------------------