%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN334+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 : n024.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 19:05:12 EDT 2024 % Result : Theorem 0.72s 0.82s % Output : CNFRefutation 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN334+1 : TPTP v8.2.0. Released v2.0.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n024.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 20:43:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.54 start to proof:theBenchmark % 0.72/0.82 %------------------------------------------- % 0.72/0.82 % File :CSE---1.7 % 0.72/0.82 % Problem :theBenchmark % 0.72/0.82 % Transform :cnf % 0.72/0.82 % Format :tptp:raw % 0.72/0.82 % Command :java -jar mcs_scs.jar %d %s % 0.72/0.82 % 0.72/0.82 % Result :Theorem 0.240000s % 0.72/0.82 % Output :CNFRefutation 0.240000s % 0.72/0.82 %------------------------------------------- % 0.72/0.82 %-------------------------------------------------------------------------- % 0.72/0.82 % File : SYN334+1 : TPTP v8.2.0. Released v2.0.0. % 0.72/0.82 % Domain : Syntactic % 0.72/0.82 % Problem : Church problem 46.14 (6) % 0.72/0.82 % Version : Especial. % 0.72/0.82 % English : % 0.72/0.82 % 0.72/0.82 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.72/0.82 % Source : [Chu56] % 0.72/0.82 % Names : 46.14 (6) [Chu56] % 0.72/0.82 % 0.72/0.82 % Status : Theorem % 0.72/0.82 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.22 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 % 0.72/0.82 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.72/0.82 % Number of atoms : 8 ( 0 equ) % 0.72/0.82 % Maximal formula atoms : 8 ( 8 avg) % 0.72/0.82 % Number of connectives : 7 ( 0 ~; 0 |; 0 &) % 0.72/0.82 % ( 3 <=>; 4 =>; 0 <=; 0 <~>) % 0.72/0.82 % Maximal formula depth : 8 ( 8 avg) % 0.72/0.82 % Maximal term depth : 1 ( 1 avg) % 0.72/0.82 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty) % 0.72/0.82 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.72/0.82 % Number of variables : 3 ( 1 !; 2 ?) % 0.72/0.82 % SPC : FOF_THM_RFO_NEQ % 0.72/0.82 % 0.72/0.82 % Comments : % 0.72/0.82 %-------------------------------------------------------------------------- % 0.72/0.82 fof(church_46_14_6,conjecture, % 0.72/0.82 ? [X,Y] : % 0.72/0.82 ! [Z] : % 0.72/0.82 ( ( big_f(X,Y) % 0.72/0.82 => ( big_f(X,Z) % 0.72/0.82 <=> big_g(Y,Z) ) ) % 0.72/0.82 => ( ( big_f(X,Y) % 0.72/0.82 <=> ( big_f(Z,Z) % 0.72/0.82 => big_g(Z,Z) ) ) % 0.72/0.82 => ( big_g(X,Y) % 0.72/0.82 <=> big_g(Z,Z) ) ) ) ). % 0.72/0.82 % 0.72/0.82 %-------------------------------------------------------------------------- % 0.72/0.82 %------------------------------------------- % 0.72/0.82 % Proof found % 0.72/0.82 % SZS status Theorem for theBenchmark % 0.72/0.82 % SZS output start Proof % 0.72/0.83 %ClaNum:7(EqnAxiom:0) % 0.72/0.83 %VarNum:50(SingletonVarNum:14) % 0.72/0.83 %MaxLitNum:3 % 0.72/0.83 %MaxfuncDepth:1 % 0.72/0.83 %SharedTerms:0 % 0.72/0.83 %goalClause: 1 2 3 4 5 6 7 % 0.72/0.83 [1]P1(x11,x12)+P1(f1(x11,x12),f1(x11,x12)) % 0.72/0.83 [2]P2(x21,x22)+P2(f1(x21,x22),f1(x21,x22)) % 0.72/0.83 [3]P1(x31,x32)+~P2(f1(x31,x32),f1(x31,x32)) % 0.72/0.83 [6]~P2(x61,x62)+~P2(f1(x61,x62),f1(x61,x62)) % 0.72/0.83 [4]~P1(x41,x42)+P1(x41,f1(x41,x42))+~P2(x42,f1(x41,x42)) % 0.72/0.83 [5]~P1(x52,x51)+P2(x51,f1(x52,x51))+~P1(x52,f1(x52,x51)) % 0.72/0.83 [7]~P1(x71,x72)+P2(f1(x71,x72),f1(x71,x72))+~P1(f1(x71,x72),f1(x71,x72)) % 0.72/0.83 %EqnAxiom % 0.72/0.83 % 0.72/0.83 %------------------------------------------- % 0.72/0.83 cnf(17,plain, % 0.72/0.83 (P1(x171,x172)+~P1(f1(x171,x172),f1(f1(x171,x172),f1(x171,x172)))+P2(f1(x171,x172),f1(f1(x171,x172),f1(x171,x172)))), % 0.72/0.83 inference(scs_inference,[],[1,5])). % 0.72/0.83 cnf(22,plain, % 0.72/0.83 (P2(x221,x222)+P1(x221,x222)), % 0.72/0.83 inference(scs_inference,[],[2,3])). % 0.72/0.83 cnf(23,plain, % 0.72/0.83 (P2(f1(x231,x232),f1(f1(x231,x232),f1(x231,x232)))+P1(x231,x232)), % 0.72/0.83 inference(scs_inference,[],[22,17])). % 0.72/0.83 cnf(28,plain, % 0.72/0.83 (P1(x281,f1(x282,x281))+~P1(x282,x281)+P1(x282,f1(x282,x281))), % 0.72/0.83 inference(scs_inference,[],[22,4])). % 0.72/0.83 cnf(29,plain, % 0.72/0.83 (P1(f1(x291,x292),f1(f1(x291,x292),f1(x291,x292)))+P1(x291,x292)), % 0.72/0.83 inference(scs_inference,[],[28,1])). % 0.72/0.83 cnf(31,plain, % 0.72/0.83 (P2(x311,x312)+~P1(x311,f1(x311,x312))+P2(x312,f1(x311,x312))), % 0.72/0.83 inference(scs_inference,[],[22,5])). % 0.72/0.83 cnf(37,plain, % 0.72/0.83 (P2(x371,f1(x371,x372))+~P1(x371,x372)+P2(x372,f1(x371,x372))), % 0.72/0.83 inference(scs_inference,[],[22,5])). % 0.72/0.83 cnf(40,plain, % 0.72/0.83 (~P1(x401,x402)+P2(f1(x401,x402),f1(x401,x402))), % 0.72/0.83 inference(scs_inference,[],[22,7])). % 0.72/0.83 cnf(73,plain, % 0.72/0.83 (~P2(x731,x732)+~P1(x731,x732)), % 0.72/0.83 inference(scs_inference,[],[6,40])). % 0.72/0.83 cnf(74,plain, % 0.72/0.83 (P1(x741,x742)+~P2(f1(x741,x742),f1(f1(x741,x742),f1(x741,x742)))), % 0.72/0.83 inference(scs_inference,[],[73,29])). % 0.72/0.83 cnf(75,plain, % 0.72/0.83 (P1(x751,x752)), % 0.72/0.83 inference(scs_inference,[],[74,23])). % 0.72/0.83 cnf(79,plain, % 0.72/0.83 (P1(x791,x792)), % 0.72/0.83 inference(rename_variables,[],[75])). % 0.72/0.83 cnf(82,plain, % 0.72/0.83 (P1(x821,x822)), % 0.72/0.83 inference(rename_variables,[],[75])). % 0.72/0.83 cnf(84,plain, % 0.72/0.83 ($false), % 0.72/0.83 inference(scs_inference,[],[75,79,82,73,5,31,37]), % 0.72/0.83 ['proof']). % 0.72/0.83 % SZS output end Proof % 0.72/0.83 % Total time :0.240000s %------------------------------------------------------------------------------