%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN319+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 : n022.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 0.53s 0.63s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN319+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 % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Jun 23 21:02:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.53/0.58 start to proof:theBenchmark % 0.53/0.63 %------------------------------------------- % 0.53/0.63 % File :CSE---1.7 % 0.53/0.63 % Problem :theBenchmark % 0.53/0.63 % Transform :cnf % 0.53/0.63 % Format :tptp:raw % 0.53/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.63 % 0.53/0.63 % Result :Theorem 0.000000s % 0.53/0.63 % Output :CNFRefutation 0.000000s % 0.53/0.63 %------------------------------------------- % 0.53/0.63 %-------------------------------------------------------------------------- % 0.53/0.63 % File : SYN319+1 : TPTP v8.2.0. Released v2.0.0. % 0.53/0.63 % Domain : Syntactic % 0.53/0.63 % Problem : Church problem 46.2 (5) % 0.53/0.63 % Version : Especial. % 0.53/0.63 % English : % 0.53/0.63 % 0.53/0.63 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.53/0.63 % Source : [Chu56] % 0.53/0.63 % Names : 46.2 (5) [Chu56] % 0.53/0.63 % 0.53/0.63 % Status : Theorem % 0.53/0.63 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.12 v6.0.0, 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 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 % 0.53/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.53/0.63 % Number of atoms : 12 ( 0 equ) % 0.53/0.63 % Maximal formula atoms : 12 ( 12 avg) % 0.53/0.63 % Number of connectives : 12 ( 1 ~; 2 |; 2 &) % 0.53/0.63 % ( 0 <=>; 7 =>; 0 <=; 0 <~>) % 0.53/0.63 % Maximal formula depth : 11 ( 11 avg) % 0.53/0.63 % Maximal term depth : 1 ( 1 avg) % 0.53/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 1-1 aty) % 0.53/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.53/0.63 % Number of variables : 4 ( 2 !; 2 ?) % 0.53/0.63 % SPC : FOF_THM_RFO_NEQ % 0.53/0.63 % 0.53/0.63 % Comments : % 0.53/0.63 %-------------------------------------------------------------------------- % 0.53/0.63 fof(church_46_2_5,conjecture, % 0.53/0.63 ? [X,Y] : % 0.53/0.63 ! [Z1,Z2] : % 0.53/0.63 ( ( ( big_f(Y) % 0.53/0.63 => big_g(Z1) ) % 0.53/0.63 => ( big_g(X) % 0.53/0.63 & ~ big_f(Z1) ) ) % 0.53/0.63 => ( ( ( big_f(X) % 0.53/0.63 | big_g(X) ) % 0.53/0.63 => big_h(X) ) % 0.53/0.63 => ( big_h(Z2) % 0.53/0.63 & ( big_h(Y) % 0.53/0.63 => ( ( big_f(Z2) % 0.53/0.63 | big_g(Z2) ) % 0.53/0.63 => big_h(Z2) ) ) ) ) ) ). % 0.53/0.63 % 0.53/0.63 %-------------------------------------------------------------------------- % 0.53/0.63 %------------------------------------------- % 0.53/0.63 % Proof found % 0.53/0.63 % SZS status Theorem for theBenchmark % 0.53/0.63 % SZS output start Proof % 0.53/0.63 %ClaNum:9(EqnAxiom:0) % 0.53/0.63 %VarNum:9(SingletonVarNum:7) % 0.53/0.63 %MaxLitNum:2 % 0.53/0.63 %MaxfuncDepth:0 % 0.53/0.63 %SharedTerms:10 % 0.53/0.63 %goalClause: 1 2 3 4 5 6 8 9 % 0.53/0.63 [5]~P1(a1)+~P2(a2) % 0.53/0.63 [6]~P3(a3)+~P3(a4) % 0.53/0.63 [2]P1(x21)+~P1(a1) % 0.53/0.63 [3]P2(x31)+~P2(a2) % 0.53/0.63 [4]P3(x41)+~P3(a3) % 0.53/0.63 [8]~P1(x81)+P3(x81) % 0.53/0.63 [9]~P2(x91)+P3(x91) % 0.53/0.63 [1]P1(x11)+P2(x12) % 0.53/0.63 %EqnAxiom % 0.53/0.63 % 0.53/0.63 %------------------------------------------- % 0.53/0.63 cnf(10,plain, % 0.53/0.63 (P3(x101)+P2(x102)), % 0.53/0.63 inference(scs_inference,[],[1,8])). % 0.53/0.63 cnf(12,plain, % 0.53/0.63 (P3(x121)+~P2(a2)), % 0.53/0.63 inference(scs_inference,[],[3,9])). % 0.53/0.63 cnf(13,plain, % 0.53/0.63 (~P3(a3)), % 0.53/0.63 inference(scs_inference,[],[4,6])). % 0.53/0.63 cnf(14,plain, % 0.53/0.63 (P2(x141)), % 0.53/0.64 inference(scs_inference,[],[13,10])). % 0.53/0.64 cnf(16,plain, % 0.53/0.64 (~P2(a2)), % 0.53/0.64 inference(scs_inference,[],[13,12])). % 0.53/0.64 cnf(17,plain, % 0.53/0.64 ($false), % 0.53/0.64 inference(scs_inference,[],[14,16]), % 0.53/0.64 ['proof']). % 0.53/0.64 % SZS output end Proof % 0.53/0.64 % Total time :0.000000s %------------------------------------------------------------------------------