%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN356+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 : 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 19:05:18 EDT 2024 % Result : Theorem 0.53s 0.61s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN356+1 : TPTP v8.2.0. Released v2.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n022.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 22:39:08 EDT 2024 % 0.12/0.33 % CPUTime : % 0.53/0.57 start to proof:theBenchmark % 0.53/0.61 %------------------------------------------- % 0.53/0.61 % File :CSE---1.7 % 0.53/0.61 % Problem :theBenchmark % 0.53/0.61 % Transform :cnf % 0.53/0.61 % Format :tptp:raw % 0.53/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.61 % 0.53/0.61 % Result :Theorem 0.000000s % 0.53/0.61 % Output :CNFRefutation 0.000000s % 0.53/0.61 %------------------------------------------- % 0.53/0.61 %-------------------------------------------------------------------------- % 0.53/0.61 % File : SYN356+1 : TPTP v8.2.0. Released v2.0.0. % 0.53/0.61 % Domain : Syntactic % 0.53/0.61 % Problem : Peter Andrews Problem X2107 % 0.53/0.61 % Version : Especial. % 0.53/0.61 % English : % 0.53/0.61 % 0.53/0.61 % Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic % 0.53/0.61 % : [And94] Andrews (1994), Email to G. Sutcliffe % 0.53/0.61 % Source : [And94] % 0.53/0.61 % Names : X2107 [And86] % 0.53/0.61 % 0.53/0.61 % Status : Theorem % 0.53/0.61 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.1.0 % 0.53/0.61 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.53/0.61 % Number of atoms : 8 ( 0 equ) % 0.53/0.61 % Maximal formula atoms : 8 ( 8 avg) % 0.53/0.61 % Number of connectives : 7 ( 0 ~; 0 |; 4 &) % 0.53/0.61 % ( 0 <=>; 3 =>; 0 <=; 0 <~>) % 0.53/0.61 % Maximal formula depth : 8 ( 8 avg) % 0.53/0.61 % Maximal term depth : 1 ( 1 avg) % 0.53/0.61 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty) % 0.53/0.61 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty) % 0.53/0.61 % Number of variables : 4 ( 4 !; 0 ?) % 0.53/0.61 % SPC : FOF_THM_EPR_NEQ % 0.53/0.61 % 0.53/0.61 % Comments : % 0.53/0.61 %-------------------------------------------------------------------------- % 0.53/0.61 fof(x2107,conjecture, % 0.53/0.61 ( ( big_r(a,b) % 0.53/0.61 & ! [X,Y] : % 0.53/0.61 ( big_r(X,Y) % 0.53/0.61 => ( big_r(Y,X) % 0.53/0.61 & big_q(X,Y) ) ) % 0.53/0.61 & ! [U,V] : % 0.53/0.61 ( big_q(U,V) % 0.53/0.61 => big_q(U,U) ) ) % 0.53/0.61 => ( big_q(a,a) % 0.53/0.61 & big_q(b,b) ) ) ). % 0.53/0.61 % 0.53/0.61 %-------------------------------------------------------------------------- % 0.53/0.61 %------------------------------------------- % 0.53/0.61 % Proof found % 0.53/0.61 % SZS status Theorem for theBenchmark % 0.53/0.61 % SZS output start Proof % 0.53/0.61 %ClaNum:5(EqnAxiom:0) % 0.53/0.61 %VarNum:12(SingletonVarNum:6) % 0.53/0.61 %MaxLitNum:2 % 0.53/0.61 %MaxfuncDepth:0 % 0.53/0.61 %SharedTerms:5 % 0.53/0.61 %goalClause: 1 2 3 4 5 % 0.53/0.61 %singleGoalClaCount:1 % 0.53/0.61 [1]P1(a1,a2) % 0.53/0.61 [2]~P2(a1,a1)+~P2(a2,a2) % 0.53/0.61 [3]~P1(x32,x31)+P1(x31,x32) % 0.53/0.61 [4]~P1(x41,x42)+P2(x41,x42) % 0.53/0.61 [5]P2(x51,x51)+~P2(x51,x52) % 0.53/0.61 %EqnAxiom % 0.53/0.61 % 0.53/0.61 %------------------------------------------- % 0.53/0.62 cnf(7,plain, % 0.53/0.62 (P2(a2,a1)), % 0.53/0.62 inference(scs_inference,[],[1,3,4])). % 0.53/0.62 cnf(9,plain, % 0.53/0.62 (~P2(a1,a1)), % 0.53/0.62 inference(scs_inference,[],[7,2,5])). % 0.53/0.62 cnf(12,plain, % 0.53/0.62 ($false), % 0.53/0.62 inference(scs_inference,[],[1,9,5,4]), % 0.53/0.62 ['proof']). % 0.53/0.62 % SZS output end Proof % 0.53/0.62 % Total time :0.000000s %------------------------------------------------------------------------------