%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN350+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/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 19:05:17 EDT 2024 % Result : Theorem 0.56s 0.62s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN350+1 : TPTP v8.2.0. Released v2.0.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Jun 23 18:22:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.56/0.62 %------------------------------------------- % 0.56/0.62 % File :CSE---1.7 % 0.56/0.62 % Problem :theBenchmark % 0.56/0.62 % Transform :cnf % 0.56/0.62 % Format :tptp:raw % 0.56/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.62 % 0.56/0.62 % Result :Theorem 0.010000s % 0.56/0.62 % Output :CNFRefutation 0.010000s % 0.56/0.62 %------------------------------------------- % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 % File : SYN350+1 : TPTP v8.2.0. Released v2.0.0. % 0.56/0.62 % Domain : Syntactic % 0.56/0.62 % Problem : Church problem 46.18 (2) % 0.56/0.62 % Version : Especial. % 0.56/0.62 % English : % 0.56/0.62 % 0.56/0.62 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.56/0.62 % Source : [Chu56] % 0.56/0.62 % Names : 46.18 (2) [Chu56] % 0.56/0.62 % 0.56/0.62 % Status : Theorem % 0.56/0.62 % 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, 0.05 v4.0.0, 0.10 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 % 0.56/0.62 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.56/0.62 % Number of atoms : 6 ( 0 equ) % 0.56/0.62 % Maximal formula atoms : 6 ( 6 avg) % 0.56/0.62 % Number of connectives : 5 ( 0 ~; 0 |; 1 &) % 0.56/0.62 % ( 2 <=>; 2 =>; 0 <=; 0 <~>) % 0.56/0.62 % Maximal formula depth : 9 ( 9 avg) % 0.56/0.62 % Maximal term depth : 1 ( 1 avg) % 0.56/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.56/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.56/0.62 % Number of variables : 4 ( 2 !; 2 ?) % 0.56/0.62 % SPC : FOF_THM_RFO_NEQ % 0.56/0.62 % 0.56/0.62 % Comments : % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 fof(church_46_18_2,conjecture, % 0.56/0.62 ! [X] : % 0.56/0.62 ? [Y1,Y2] : % 0.56/0.62 ! [Z] : % 0.56/0.62 ( ( big_f(X,Z) % 0.56/0.62 <=> big_f(Z,X) ) % 0.56/0.62 => ( big_f(X,Z) % 0.56/0.62 <=> ( big_f(Y2,Z) % 0.56/0.62 & ( big_f(Y1,Z) % 0.56/0.62 => big_f(Y1,Y2) ) ) ) ) ). % 0.56/0.62 % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 %------------------------------------------- % 0.56/0.62 % Proof found % 0.56/0.62 % SZS status Theorem for theBenchmark % 0.56/0.62 % SZS output start Proof % 0.56/0.63 %ClaNum:6(EqnAxiom:0) % 0.56/0.63 %VarNum:35(SingletonVarNum:12) % 0.56/0.63 %MaxLitNum:3 % 0.56/0.63 %MaxfuncDepth:1 % 0.56/0.63 %SharedTerms:1 % 0.56/0.63 %goalClause: 1 2 3 4 5 6 % 0.56/0.63 [1]P1(x11,f1(x12,x11))+P1(a2,f1(x12,x11)) % 0.56/0.63 [2]P1(a2,f1(x21,x22))+~P1(f1(x21,x22),a2) % 0.56/0.63 [3]P1(f1(x31,x32),a2)+~P1(a2,f1(x31,x32)) % 0.56/0.63 [4]P1(x41,x42)+~P1(x41,f1(x41,x42))+P1(a2,f1(x41,x42)) % 0.56/0.63 [5]~P1(x51,x52)+~P1(x52,f1(x51,x52))+~P1(a2,f1(x51,x52)) % 0.56/0.63 [6]P1(x61,f1(x61,x62))+~P1(x62,f1(x61,x62))+~P1(a2,f1(x61,x62)) % 0.56/0.63 %EqnAxiom % 0.56/0.63 % 0.56/0.63 %------------------------------------------- % 0.56/0.63 cnf(7,plain, % 0.56/0.63 (P1(x71,x71)+P1(a2,f1(x71,x71))), % 0.56/0.63 inference(scs_inference,[],[1,4])). % 0.56/0.63 cnf(11,plain, % 0.56/0.63 (P1(x111,x111)+P1(f1(x111,x111),a2)), % 0.56/0.63 inference(scs_inference,[],[7,3])). % 0.56/0.63 cnf(12,plain, % 0.56/0.63 (P1(x121,x121)+~P1(a2,f1(f1(x121,x121),a2))), % 0.56/0.63 inference(scs_inference,[],[11,5])). % 0.56/0.63 cnf(13,plain, % 0.56/0.63 (~P1(x131,f1(x131,x131))+~P1(a2,f1(f1(x131,x131),a2))+~P1(a2,f1(x131,x131))), % 0.56/0.63 inference(scs_inference,[],[12,5])). % 0.56/0.63 cnf(14,plain, % 0.56/0.63 (~P1(a2,f1(f1(a2,a2),a2))), % 0.56/0.63 inference(scs_inference,[],[13,1])). % 0.56/0.63 cnf(15,plain, % 0.56/0.63 ($false), % 0.56/0.63 inference(scs_inference,[],[14,1]), % 0.56/0.63 ['proof']). % 0.56/0.63 % SZS output end Proof % 0.56/0.63 % Total time :0.010000s %------------------------------------------------------------------------------