%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN351+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 : 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 19:05:17 EDT 2024 % Result : Theorem 0.52s 0.58s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN351+1 : TPTP v8.2.0. Released v2.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n021.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Sun Jun 23 23:31:38 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.52/0.58 %------------------------------------------- % 0.52/0.58 % File :CSE---1.7 % 0.52/0.58 % Problem :theBenchmark % 0.52/0.58 % Transform :cnf % 0.52/0.58 % Format :tptp:raw % 0.52/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.58 % 0.52/0.58 % Result :Theorem 0.000000s % 0.52/0.58 % Output :CNFRefutation 0.000000s % 0.52/0.58 %------------------------------------------- % 0.52/0.58 %-------------------------------------------------------------------------- % 0.52/0.58 % File : SYN351+1 : TPTP v8.2.0. Released v2.0.0. % 0.52/0.58 % Domain : Syntactic % 0.52/0.58 % Problem : Church problem 46.18 (3) % 0.52/0.58 % Version : Especial. % 0.52/0.58 % English : % 0.52/0.58 % 0.52/0.58 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.52/0.58 % Source : [Chu56] % 0.52/0.58 % Names : 46.18 (3) [Chu56] % 0.52/0.58 % 0.52/0.58 % Status : Theorem % 0.52/0.58 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 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 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 0.52/0.58 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.52/0.58 % Number of atoms : 9 ( 0 equ) % 0.52/0.58 % Maximal formula atoms : 9 ( 9 avg) % 0.52/0.58 % Number of connectives : 8 ( 0 ~; 0 |; 1 &) % 0.52/0.58 % ( 2 <=>; 5 =>; 0 <=; 0 <~>) % 0.52/0.58 % Maximal formula depth : 12 ( 12 avg) % 0.52/0.58 % Maximal term depth : 1 ( 1 avg) % 0.52/0.58 % Number of predicates : 1 ( 1 usr; 0 prp; 4-4 aty) % 0.52/0.58 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.52/0.58 % Number of variables : 5 ( 3 !; 2 ?) % 0.52/0.58 % SPC : FOF_THM_RFO_NEQ % 0.52/0.58 % 0.52/0.58 % Comments : % 0.52/0.58 %-------------------------------------------------------------------------- % 0.52/0.58 fof(church_46_18_3,conjecture, % 0.52/0.58 ! [X1,X2] : % 0.52/0.58 ? [Y1,Y2] : % 0.52/0.58 ! [Z] : % 0.52/0.58 ( big_f(X1,Y2,X1,Z) % 0.52/0.58 => ( ( big_f(X1,Y1,X1,Y2) % 0.52/0.58 <=> big_f(Y1,X2,Y1,Y2) ) % 0.52/0.58 => ( big_f(X1,Y1,X1,Y2) % 0.52/0.58 => ( ( big_f(X1,Y2,Y1,Y2) % 0.52/0.58 => big_f(X1,Z,Y1,Z) ) % 0.52/0.58 & ( big_f(X1,Z,Y1,Z) % 0.52/0.58 => ( big_f(X1,Y1,X1,Y2) % 0.52/0.58 <=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ) ). % 0.52/0.58 % 0.52/0.58 %-------------------------------------------------------------------------- % 0.52/0.58 %------------------------------------------- % 0.52/0.58 % Proof found % 0.52/0.58 % SZS status Theorem for theBenchmark % 0.52/0.58 % SZS output start Proof % 0.52/0.59 %ClaNum:8(EqnAxiom:0) % 0.52/0.59 %VarNum:25(SingletonVarNum:8) % 0.52/0.59 %MaxLitNum:3 % 0.52/0.59 %MaxfuncDepth:1 % 0.52/0.59 %SharedTerms:2 % 0.52/0.59 %goalClause: 1 4 5 8 % 0.52/0.59 %singleGoalClaCount:1 % 0.52/0.59 [1]P1(a1,x11,a1,x12) % 0.52/0.59 [5]P1(x51,a3,x51,x52)+~P1(a1,x51,a1,x52) % 0.52/0.59 [4]P1(a1,x41,x42,x41)+P1(a1,f2(x42,x41),x42,f2(x42,x41)) % 0.52/0.59 [8]~P1(a1,x81,x82,x81)+~P1(a1,x82,a1,x81)+~P1(a1,f2(x82,x81),x82,f2(x82,x81)) % 0.52/0.59 %EqnAxiom % 0.52/0.59 % 0.52/0.59 %------------------------------------------- % 0.52/0.59 cnf(11,plain, % 0.52/0.59 (~P1(a1,f2(a1,a1),a1,f2(a1,a1))), % 0.52/0.59 inference(scs_inference,[],[1,5,8])). % 0.52/0.59 cnf(15,plain, % 0.52/0.59 ($false), % 0.52/0.59 inference(scs_inference,[],[1,11]), % 0.52/0.59 ['proof']). % 0.52/0.59 % SZS output end Proof % 0.52/0.59 % Total time :0.000000s %------------------------------------------------------------------------------