%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN354+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 : n018.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 19:05:18 EDT 2024 % Result : Theorem 0.57s 0.65s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : SYN354+1 : TPTP v8.2.0. Released v2.0.0. % 0.04/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n018.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sun Jun 23 23:44:39 EDT 2024 % 0.13/0.35 % CPUTime : % 0.47/0.60 start to proof:theBenchmark % 0.57/0.64 %------------------------------------------- % 0.57/0.64 % File :CSE---1.7 % 0.57/0.64 % Problem :theBenchmark % 0.57/0.64 % Transform :cnf % 0.57/0.64 % Format :tptp:raw % 0.57/0.64 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.64 % 0.57/0.64 % Result :Theorem 0.000000s % 0.57/0.64 % Output :CNFRefutation 0.000000s % 0.57/0.64 %------------------------------------------- % 0.57/0.65 %-------------------------------------------------------------------------- % 0.57/0.65 % File : SYN354+1 : TPTP v8.2.0. Released v2.0.0. % 0.57/0.65 % Domain : Syntactic % 0.57/0.65 % Problem : Church problem 46.20 (1) % 0.57/0.65 % Version : Especial. % 0.57/0.65 % English : % 0.57/0.65 % 0.57/0.65 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.57/0.65 % Source : [Chu56] % 0.57/0.65 % Names : 46.20 (1) [Chu56] % 0.57/0.65 % 0.57/0.65 % Status : Theorem % 0.57/0.65 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.17 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 % 0.57/0.65 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.57/0.65 % Number of atoms : 11 ( 0 equ) % 0.57/0.65 % Maximal formula atoms : 11 ( 11 avg) % 0.57/0.65 % Number of connectives : 10 ( 0 ~; 0 |; 2 &) % 0.57/0.65 % ( 2 <=>; 6 =>; 0 <=; 0 <~>) % 0.57/0.65 % Maximal formula depth : 12 ( 12 avg) % 0.57/0.65 % Maximal term depth : 1 ( 1 avg) % 0.57/0.65 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty) % 0.57/0.65 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.57/0.65 % Number of variables : 5 ( 3 !; 2 ?) % 0.57/0.65 % SPC : FOF_THM_RFO_NEQ % 0.57/0.65 % 0.57/0.65 % Comments : % 0.57/0.65 %-------------------------------------------------------------------------- % 0.57/0.65 fof(church_46_20_1,conjecture, % 0.57/0.65 ! [X1,X2] : % 0.57/0.65 ? [Y1,Y2] : % 0.57/0.65 ! [Z] : % 0.57/0.65 ( big_f(X1,X2) % 0.57/0.65 => ( big_g(X1,X2) % 0.57/0.65 => ( ( ( big_g(X2,Z) % 0.57/0.65 <=> big_g(Y2,Z) ) % 0.57/0.65 => ( big_f(Y1,Y2) % 0.57/0.65 => big_f(X2,Y2) ) ) % 0.57/0.65 => ( ( big_g(X2,Z) % 0.57/0.65 <=> big_g(Y1,Z) ) % 0.57/0.65 => ( big_f(X1,Y1) % 0.57/0.65 & big_f(X2,Y1) % 0.57/0.65 & big_f(Y1,Y2) ) ) ) ) ) ). % 0.57/0.65 % 0.57/0.65 %-------------------------------------------------------------------------- % 0.57/0.65 %------------------------------------------- % 0.57/0.65 % Proof found % 0.57/0.65 % SZS status Theorem for theBenchmark % 0.57/0.65 % SZS output start Proof % 0.57/0.65 %ClaNum:7(EqnAxiom:0) % 0.57/0.65 %VarNum:30(SingletonVarNum:10) % 0.57/0.65 %MaxLitNum:4 % 0.57/0.65 %MaxfuncDepth:1 % 0.57/0.65 %SharedTerms:4 % 0.57/0.65 %goalClause: 1 2 3 4 5 6 7 % 0.57/0.65 %singleGoalClaCount:2 % 0.57/0.65 [1]P1(a1,a2) % 0.57/0.65 [2]P2(a1,a2) % 0.57/0.65 [4]P2(x41,f3(x41,x42))+~P2(a2,f3(x41,x42)) % 0.57/0.65 [5]~P2(x51,f3(x51,x52))+P2(a2,f3(x51,x52)) % 0.57/0.65 [3]~P1(x31,x32)+~P1(a1,x31)+~P1(a2,x31) % 0.57/0.65 [6]~P1(x62,x61)+P2(x61,f3(x62,x61))+P1(a2,x61)+P2(a2,f3(x62,x61)) % 0.57/0.65 [7]~P1(x72,x71)+~P2(x71,f3(x72,x71))+P1(a2,x71)+~P2(a2,f3(x72,x71)) % 0.57/0.65 %EqnAxiom % 0.57/0.65 % 0.57/0.65 %------------------------------------------- % 0.57/0.65 cnf(8,plain, % 0.57/0.65 (~P1(a2,x81)+~P1(a2,a2)), % 0.57/0.65 inference(scs_inference,[],[1,3])). % 0.57/0.65 cnf(10,plain, % 0.57/0.65 (~P1(a2,a2)), % 0.57/0.65 inference(factoring_inference,[],[8])). % 0.57/0.65 cnf(13,plain, % 0.57/0.65 (P2(a2,f3(a1,a2))+P2(a1,f3(a1,a2))), % 0.57/0.65 inference(scs_inference,[],[10,1,4,6])). % 0.57/0.65 cnf(14,plain, % 0.57/0.65 (P2(a2,f3(a1,a2))), % 0.57/0.65 inference(scs_inference,[],[13,5])). % 0.57/0.65 cnf(17,plain, % 0.57/0.65 ($false), % 0.57/0.65 inference(scs_inference,[],[1,14,10,4,7]), % 0.57/0.65 ['proof']). % 0.57/0.65 % SZS output end Proof % 0.57/0.65 % Total time :0.000000s %------------------------------------------------------------------------------