%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ128+1 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n021.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 13:42:25 EDT 2024 % Result : Theorem 0.52s 0.59s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : PUZ128+1 : TPTP v8.2.0. Released v4.0.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n021.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 : Tue Jun 18 10:30:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.18/0.55 start to proof:theBenchmark % 0.52/0.58 %------------------------------------------- % 0.52/0.58 % File :CSE---1.7 % 0.52/0.58 % Problem :theBenchmark % 0.52/0.58 % Transform :cnf % 0.52/0.58 % Format :tptp:raw % 0.52/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.58 % 0.52/0.58 % Result :Theorem 0.000000s % 0.52/0.58 % Output :CNFRefutation 0.000000s % 0.52/0.58 %------------------------------------------- % 0.52/0.59 %------------------------------------------------------------------------------ % 0.52/0.59 % File : PUZ128+1 : TPTP v8.2.0. Released v4.0.0. % 0.52/0.59 % Domain : Puzzles % 0.52/0.59 % Problem : Iokaste patricide triangle % 0.52/0.59 % Version : Especial. % 0.52/0.59 % English : Iokaste is a parent of Oedipus. Iokaste is a parent of Polyneikes. % 0.52/0.59 % Oedipus is a parent of Polyneikes. Polyneikes is a parent of % 0.52/0.59 % Thersandros. Oedipus is a patricide. Thersandros is not a % 0.52/0.59 % patricide. Therefore, Iokaste is a parent of a patricide who is % 0.52/0.59 % a parent of somebody who is not a patricide. % 0.52/0.59 % 0.52/0.59 % Refs : % 0.52/0.59 % Source : [TPTP] % 0.52/0.59 % Names : % 0.52/0.59 % 0.52/0.59 % Status : Theorem % 0.52/0.59 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0 % 0.52/0.59 % Syntax : Number of formulae : 7 ( 6 unt; 0 def) % 0.52/0.59 % Number of atoms : 10 ( 0 equ) % 0.52/0.59 % Maximal formula atoms : 4 ( 1 avg) % 0.52/0.59 % Number of connectives : 5 ( 2 ~; 0 |; 3 &) % 0.52/0.59 % ( 0 <=>; 0 =>; 0 <=; 0 <~>) % 0.52/0.59 % Maximal formula depth : 7 ( 2 avg) % 0.52/0.59 % Maximal term depth : 1 ( 1 avg) % 0.52/0.59 % Number of predicates : 2 ( 2 usr; 0 prp; 1-2 aty) % 0.52/0.59 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 0.52/0.59 % Number of variables : 2 ( 0 !; 2 ?) % 0.52/0.59 % SPC : FOF_THM_EPR_NEQ % 0.52/0.59 % 0.52/0.59 % Comments : % 0.52/0.59 %------------------------------------------------------------------------------ % 0.52/0.59 %----Iokaste is a parent of Oedipus. % 0.52/0.59 fof(iokaste_oedipus,axiom, % 0.52/0.59 parent_of(iokaste,oedipus) ). % 0.52/0.59 % 0.52/0.59 %----Iokaste is a parent of Polyneikes. % 0.52/0.59 fof(iokaste_polyneikes,axiom, % 0.52/0.59 parent_of(iokaste,polyneikes) ). % 0.52/0.59 % 0.52/0.59 %----Oedipus is a parent of Polyneikes. % 0.52/0.59 fof(oedipus_polyneikes,axiom, % 0.52/0.59 parent_of(oedipus,polyneikes) ). % 0.52/0.59 % 0.52/0.59 %----Polyneikes is a parent of Thersandros. % 0.52/0.59 fof(polyneikes_thersandros,axiom, % 0.52/0.59 parent_of(polyneikes,thersandros) ). % 0.52/0.59 % 0.52/0.59 %----Oedipus is a patricide. % 0.52/0.59 fof(oedipus_patricidal,axiom, % 0.52/0.59 patricide(oedipus) ). % 0.52/0.59 % 0.52/0.59 %----Thersandros is not a patricide. % 0.52/0.59 fof(thersandros_not_patricidal,axiom, % 0.52/0.59 ~ patricide(thersandros) ). % 0.52/0.59 % 0.52/0.59 %----Therefore, Iokaste is a parent of a patricide who is a parent of % 0.52/0.59 %----somebody who is not a patricide. % 0.52/0.59 fof(iokaste_parent_particide_parent_not_patricide,conjecture, % 0.52/0.59 ? [P,NP] : % 0.52/0.59 ( parent_of(iokaste,P) % 0.52/0.59 & patricide(P) % 0.52/0.59 & parent_of(P,NP) % 0.52/0.59 & ~ patricide(NP) ) ). % 0.52/0.59 % 0.52/0.59 %------------------------------------------------------------------------------ % 0.52/0.59 %------------------------------------------- % 0.52/0.59 % Proof found % 0.52/0.59 % SZS status Theorem for theBenchmark % 0.52/0.59 % SZS output start Proof % 0.52/0.59 %ClaNum:7(EqnAxiom:0) % 0.52/0.59 %VarNum:5(SingletonVarNum:2) % 0.52/0.59 %MaxLitNum:4 % 0.52/0.59 %MaxfuncDepth:0 % 0.52/0.59 %SharedTerms:10 % 0.52/0.59 %goalClause: 7 % 0.52/0.59 [1]P1(a1) % 0.52/0.59 [2]P2(a2,a1) % 0.52/0.59 [3]P2(a2,a3) % 0.52/0.59 [4]P2(a1,a3) % 0.52/0.59 [5]P2(a3,a4) % 0.52/0.59 [6]~P1(a4) % 0.52/0.59 [7]~P2(x72,x71)+P1(x71)+~P1(x72)+~P2(a2,x72) % 0.52/0.59 %EqnAxiom % 0.52/0.59 % 0.52/0.59 %------------------------------------------- % 0.52/0.59 cnf(10,plain, % 0.52/0.59 (~P1(a3)), % 0.52/0.59 inference(scs_inference,[],[3,5,6,7])). % 0.52/0.59 cnf(12,plain, % 0.52/0.59 ($false), % 0.52/0.59 inference(scs_inference,[],[1,10,4,2,7]), % 0.52/0.59 ['proof']). % 0.52/0.59 % SZS output end Proof % 0.52/0.59 % Total time :0.000000s %------------------------------------------------------------------------------