%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN352+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 : n020.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 0.60s 0.68s % Output : CNFRefutation 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN352+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n020.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 19:46:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.21/0.57 start to proof:theBenchmark % 0.60/0.67 %------------------------------------------- % 0.60/0.67 % File :CSE---1.7 % 0.60/0.67 % Problem :theBenchmark % 0.60/0.67 % Transform :cnf % 0.60/0.67 % Format :tptp:raw % 0.60/0.67 % Command :java -jar mcs_scs.jar %d %s % 0.60/0.67 % 0.60/0.67 % Result :Theorem 0.070000s % 0.60/0.67 % Output :CNFRefutation 0.070000s % 0.60/0.67 %------------------------------------------- % 0.60/0.67 %-------------------------------------------------------------------------- % 0.60/0.67 % File : SYN352+1 : TPTP v8.2.0. Released v2.0.0. % 0.60/0.67 % Domain : Syntactic % 0.60/0.67 % Problem : Church problem 46.18 (4) % 0.60/0.67 % Version : Especial. % 0.60/0.67 % English : % 0.60/0.67 % 0.60/0.67 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.60/0.67 % Source : [Chu56] % 0.60/0.67 % Names : 46.18 (4) [Chu56] % 0.60/0.67 % 0.60/0.67 % Status : Theorem % 0.60/0.67 % Rating : 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.11 v4.0.0, 0.10 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 % 0.60/0.67 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.60/0.67 % Number of atoms : 11 ( 0 equ) % 0.60/0.67 % Maximal formula atoms : 11 ( 11 avg) % 0.60/0.67 % Number of connectives : 10 ( 0 ~; 1 |; 1 &) % 0.60/0.67 % ( 2 <=>; 6 =>; 0 <=; 0 <~>) % 0.60/0.67 % Maximal formula depth : 12 ( 12 avg) % 0.60/0.67 % Maximal term depth : 1 ( 1 avg) % 0.60/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.60/0.67 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.60/0.67 % Number of variables : 5 ( 3 !; 2 ?) % 0.60/0.67 % SPC : FOF_THM_RFO_NEQ % 0.60/0.67 % 0.60/0.67 % Comments : % 0.60/0.67 %-------------------------------------------------------------------------- % 0.60/0.67 fof(church_46_18_4,conjecture, % 0.60/0.67 ! [X1,X2] : % 0.60/0.67 ? [Y1,Y2] : % 0.60/0.67 ! [Z] : % 0.60/0.67 ( big_f(X1,X2) % 0.60/0.67 => ( ( big_f(Y1,Y2) % 0.60/0.67 => ( big_f(X2,Z) % 0.60/0.67 | big_f(Y2,Z) ) ) % 0.60/0.67 => ( ( ( big_f(Y1,Y2) % 0.60/0.68 => ( big_f(X2,Z) % 0.60/0.68 <=> big_f(Y1,Z) ) ) % 0.60/0.68 => big_f(Z,Z) ) % 0.60/0.68 => ( big_f(Y1,Y2) % 0.60/0.68 & ( big_f(Y1,Z) % 0.60/0.68 <=> big_f(Y2,Z) ) ) ) ) ) ). % 0.60/0.68 % 0.60/0.68 %-------------------------------------------------------------------------- % 0.60/0.68 %------------------------------------------- % 0.60/0.68 % Proof found % 0.60/0.68 % SZS status Theorem for theBenchmark % 0.60/0.68 % SZS output start Proof % 0.60/0.68 %ClaNum:7(EqnAxiom:0) % 0.60/0.68 %VarNum:47(SingletonVarNum:12) % 0.60/0.68 %MaxLitNum:3 % 0.60/0.68 %MaxfuncDepth:1 % 0.60/0.68 %SharedTerms:3 % 0.60/0.68 %goalClause: 1 2 3 4 5 6 7 % 0.60/0.68 %singleGoalClaCount:1 % 0.60/0.68 [1]P1(a1,a2) % 0.60/0.68 [2]P1(x21,x22)+P1(f3(x21,x22),f3(x21,x22)) % 0.60/0.68 [3]~P1(x32,x31)+P1(x31,f3(x32,x31))+P1(a2,f3(x32,x31)) % 0.60/0.68 [4]~P1(x42,x41)+P1(x41,f3(x42,x41))+P1(x42,f3(x42,x41)) % 0.60/0.68 [5]P1(f3(x51,x52),f3(x51,x52))+P1(x51,f3(x51,x52))+P1(a2,f3(x51,x52)) % 0.60/0.68 [6]~P1(x61,x62)+~P1(x62,f3(x61,x62))+~P1(x61,f3(x61,x62)) % 0.60/0.68 [7]P1(f3(x71,x72),f3(x71,x72))+~P1(x71,f3(x71,x72))+~P1(a2,f3(x71,x72)) % 0.60/0.68 %EqnAxiom % 0.60/0.68 % 0.60/0.68 %------------------------------------------- % 0.60/0.68 cnf(12,plain, % 0.60/0.68 (P1(f3(x121,x122),f3(f3(x121,x122),f3(x121,x122)))+~P1(x121,f3(x121,x122))+~P1(a2,f3(x121,x122))), % 0.60/0.68 inference(scs_inference,[],[7,4])). % 0.60/0.68 cnf(19,plain, % 0.60/0.68 (~P1(x191,f3(x191,x192))+~P1(f3(x191,x192),f3(x191,x192))+~P1(a2,f3(x191,x192))), % 0.60/0.68 inference(scs_inference,[],[12,6])). % 0.60/0.68 cnf(20,plain, % 0.60/0.68 (~P1(x201,f3(x201,x202))+~P1(a2,f3(x201,x202))), % 0.60/0.68 inference(scs_inference,[],[19,7])). % 0.60/0.68 cnf(23,plain, % 0.60/0.68 (P1(x231,x232)+P1(f3(x231,x232),f3(f3(x231,x232),f3(x231,x232)))), % 0.60/0.68 inference(scs_inference,[],[2,4])). % 0.60/0.68 cnf(27,plain, % 0.60/0.68 (P1(x271,x272)+~P1(f3(x271,x272),f3(f3(x271,x272),f3(x271,x272)))), % 0.60/0.68 inference(scs_inference,[],[2,6])). % 0.60/0.68 cnf(28,plain, % 0.60/0.68 (P1(x281,x282)), % 0.60/0.68 inference(scs_inference,[],[27,23])). % 0.60/0.68 cnf(29,plain, % 0.60/0.68 ($false), % 0.60/0.68 inference(scs_inference,[],[28,20]), % 0.60/0.68 ['proof']). % 0.60/0.68 % SZS output end Proof % 0.60/0.68 % Total time :0.070000s %------------------------------------------------------------------------------