%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN318+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 : n032.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 19:05:08 EDT 2024 % Result : Theorem 0.15s 0.57s % Output : CNFRefutation 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : SYN318+1 : TPTP v8.2.0. Released v2.0.0. % 0.09/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 300 % 0.10/0.30 % DateTime : Sun Jun 23 21:00:38 EDT 2024 % 0.10/0.30 % CPUTime : % 0.15/0.53 start to proof:theBenchmark % 0.15/0.56 %------------------------------------------- % 0.15/0.56 % File :CSE---1.7 % 0.15/0.56 % Problem :theBenchmark % 0.15/0.56 % Transform :cnf % 0.15/0.56 % Format :tptp:raw % 0.15/0.56 % Command :java -jar mcs_scs.jar %d %s % 0.15/0.56 % 0.15/0.56 % Result :Theorem 0.000000s % 0.15/0.56 % Output :CNFRefutation 0.000000s % 0.15/0.56 %------------------------------------------- % 0.15/0.57 %-------------------------------------------------------------------------- % 0.15/0.57 % File : SYN318+1 : TPTP v8.2.0. Released v2.0.0. % 0.15/0.57 % Domain : Syntactic % 0.15/0.57 % Problem : Church problem 46.2 (4) % 0.15/0.57 % Version : Especial. % 0.15/0.57 % English : % 0.15/0.57 % 0.15/0.57 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.15/0.57 % Source : [Chu56] % 0.15/0.57 % Names : 46.2 (4) [Chu56] % 0.15/0.57 % 0.15/0.57 % Status : Theorem % 0.15/0.57 % Rating : 0.00 v5.5.0, 0.04 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 % 0.15/0.57 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.15/0.57 % Number of atoms : 6 ( 0 equ) % 0.15/0.57 % Maximal formula atoms : 6 ( 6 avg) % 0.15/0.57 % Number of connectives : 5 ( 0 ~; 0 |; 0 &) % 0.15/0.57 % ( 0 <=>; 5 =>; 0 <=; 0 <~>) % 0.15/0.57 % Maximal formula depth : 6 ( 6 avg) % 0.15/0.57 % Maximal term depth : 1 ( 1 avg) % 0.15/0.57 % Number of predicates : 3 ( 3 usr; 1 prp; 0-1 aty) % 0.15/0.57 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.15/0.57 % Number of variables : 3 ( 2 !; 1 ?) % 0.15/0.57 % SPC : FOF_THM_RFO_NEQ % 0.15/0.57 % 0.15/0.57 % Comments : The free variable is existentially quantified. Based on CNF. % 0.15/0.57 %-------------------------------------------------------------------------- % 0.15/0.57 fof(church_46_2_4,conjecture, % 0.15/0.57 ? [Y] : % 0.15/0.57 ( ! [X] : % 0.15/0.57 ( big_f(X) % 0.15/0.57 => ( big_f(Y) % 0.15/0.57 => big_g(X) ) ) % 0.15/0.57 => ( p % 0.15/0.57 => ! [X] : % 0.15/0.57 ( big_f(X) % 0.15/0.57 => big_g(Y) ) ) ) ). % 0.15/0.57 % 0.15/0.57 %-------------------------------------------------------------------------- % 0.15/0.57 %------------------------------------------- % 0.15/0.57 % Proof found % 0.15/0.57 % SZS status Theorem for theBenchmark % 0.15/0.57 % SZS output start Proof % 0.15/0.57 %ClaNum:4(EqnAxiom:0) % 0.15/0.57 %VarNum:4(SingletonVarNum:3) % 0.15/0.57 %MaxLitNum:3 % 0.15/0.57 %MaxfuncDepth:0 % 0.15/0.57 %SharedTerms:4 % 0.15/0.57 %goalClause: 1 2 3 4 % 0.15/0.57 %singleGoalClaCount:3 % 0.15/0.57 [1]P1(a5000) % 0.15/0.57 [2]P2(a1) % 0.15/0.57 [3]~P3(x31) % 0.15/0.57 [4]~P2(x41)+P3(x41)+~P2(x42) % 0.15/0.57 %EqnAxiom % 0.15/0.57 % 0.15/0.57 %------------------------------------------- % 0.15/0.57 cnf(5,plain, % 0.15/0.57 ($false), % 0.15/0.57 inference(scs_inference,[],[2,3,4]), % 0.15/0.57 ['proof']). % 0.15/0.57 % SZS output end Proof % 0.15/0.57 % Total time :0.000000s %------------------------------------------------------------------------------