%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ001+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 : n032.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 13:41:59 EDT 2024 % Result : Theorem 0.58s 0.71s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.09 % Problem : PUZ001+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.28 % Computer : n032.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 300 % 0.08/0.28 % DateTime : Tue Jun 18 10:13:38 EDT 2024 % 0.08/0.28 % CPUTime : % 0.14/0.46 start to proof:theBenchmark % 0.58/0.70 %------------------------------------------- % 0.58/0.70 % File :CSE---1.7 % 0.58/0.70 % Problem :theBenchmark % 0.58/0.70 % Transform :cnf % 0.58/0.70 % Format :tptp:raw % 0.58/0.70 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.70 % 0.58/0.70 % Result :Theorem 0.220000s % 0.58/0.70 % Output :CNFRefutation 0.220000s % 0.58/0.70 %------------------------------------------- % 0.58/0.71 %------------------------------------------------------------------------------ % 0.58/0.71 % File : PUZ001+1 : TPTP v8.2.0. Released v2.0.0. % 0.58/0.71 % Domain : Puzzles % 0.58/0.71 % Problem : Dreadbury Mansion % 0.58/0.71 % Version : Especial. % 0.58/0.71 % Theorem formulation : Reduced > Complete. % 0.58/0.71 % English : Someone who lives in Dreadbury Mansion killed Aunt Agatha. % 0.58/0.71 % Agatha, the butler, and Charles live in Dreadbury Mansion, % 0.58/0.71 % and are the only people who live therein. A killer always % 0.58/0.71 % hates his victim, and is never richer than his victim. % 0.58/0.71 % Charles hates no one that Aunt Agatha hates. Agatha hates % 0.58/0.71 % everyone except the butler. The butler hates everyone not % 0.58/0.71 % richer than Aunt Agatha. The butler hates everyone Aunt % 0.58/0.71 % Agatha hates. No one hates everyone. Agatha is not the % 0.58/0.71 % butler. Therefore : Agatha killed herself. % 0.58/0.71 % 0.58/0.71 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.58/0.71 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.58/0.71 % Source : [Hah94] % 0.58/0.71 % Names : Pelletier 55 [Pel86] % 0.58/0.71 % 0.58/0.71 % Status : Theorem % 0.58/0.71 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.26 v5.5.0, 0.07 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 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 % 0.58/0.71 % Syntax : Number of formulae : 14 ( 6 unt; 0 def) % 0.58/0.71 % Number of atoms : 24 ( 5 equ) % 0.58/0.71 % Maximal formula atoms : 4 ( 1 avg) % 0.58/0.71 % Number of connectives : 16 ( 6 ~; 2 |; 1 &) % 0.58/0.71 % ( 0 <=>; 7 =>; 0 <=; 0 <~>) % 0.58/0.71 % Maximal formula depth : 5 ( 3 avg) % 0.58/0.71 % Maximal term depth : 1 ( 1 avg) % 0.58/0.71 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 0.58/0.71 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty) % 0.58/0.71 % Number of variables : 12 ( 10 !; 2 ?) % 0.58/0.71 % SPC : FOF_THM_RFO_SEQ % 0.58/0.71 % 0.58/0.71 % Comments : Modified by Geoff Sutcliffe. % 0.58/0.71 % : Also known as "Who killed Aunt Agatha" % 0.58/0.71 %------------------------------------------------------------------------------ % 0.58/0.71 %----Problem axioms % 0.58/0.71 fof(pel55_1,axiom, % 0.58/0.71 ? [X] : % 0.58/0.71 ( lives(X) % 0.58/0.71 & killed(X,agatha) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_2_1,axiom, % 0.58/0.71 lives(agatha) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_2_2,axiom, % 0.58/0.71 lives(butler) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_2_3,axiom, % 0.58/0.71 lives(charles) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_3,axiom, % 0.58/0.71 ! [X] : % 0.58/0.71 ( lives(X) % 0.58/0.71 => ( X = agatha % 0.58/0.71 | X = butler % 0.58/0.71 | X = charles ) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_4,axiom, % 0.58/0.71 ! [X,Y] : % 0.58/0.71 ( killed(X,Y) % 0.58/0.71 => hates(X,Y) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_5,axiom, % 0.58/0.71 ! [X,Y] : % 0.58/0.71 ( killed(X,Y) % 0.58/0.71 => ~ richer(X,Y) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_6,axiom, % 0.58/0.71 ! [X] : % 0.58/0.71 ( hates(agatha,X) % 0.58/0.71 => ~ hates(charles,X) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_7,axiom, % 0.58/0.71 ! [X] : % 0.58/0.71 ( X != butler % 0.58/0.71 => hates(agatha,X) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_8,axiom, % 0.58/0.71 ! [X] : % 0.58/0.71 ( ~ richer(X,agatha) % 0.58/0.71 => hates(butler,X) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_9,axiom, % 0.58/0.71 ! [X] : % 0.58/0.71 ( hates(agatha,X) % 0.58/0.71 => hates(butler,X) ) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_10,axiom, % 0.58/0.71 ! [X] : % 0.58/0.71 ? [Y] : ~ hates(X,Y) ). % 0.58/0.71 % 0.58/0.71 fof(pel55_11,axiom, % 0.58/0.71 agatha != butler ). % 0.58/0.71 % 0.58/0.71 fof(pel55,conjecture, % 0.58/0.71 killed(agatha,agatha) ). % 0.58/0.71 % 0.58/0.71 %------------------------------------------------------------------------------ % 0.58/0.71 %------------------------------------------- % 0.58/0.71 % Proof found % 0.58/0.71 % SZS status Theorem for theBenchmark % 0.58/0.71 % SZS output start Proof % 0.58/0.71 %ClaNum:26(EqnAxiom:11) % 0.58/0.71 %VarNum:22(SingletonVarNum:10) % 0.58/0.71 %MaxLitNum:4 % 0.58/0.71 %MaxfuncDepth:1 % 0.58/0.71 %SharedTerms:11 % 0.58/0.71 %goalClause: 18 % 0.58/0.71 %singleGoalClaCount:1 % 0.58/0.71 [12]P1(a1) % 0.58/0.71 [13]P1(a2) % 0.58/0.71 [14]P1(a3) % 0.58/0.71 [15]P1(a4) % 0.58/0.71 [16]P2(a4,a1) % 0.58/0.71 [17]~E(a1,a2) % 0.58/0.71 [18]~P2(a1,a1) % 0.58/0.71 [19]~P3(x191,f5(x191)) % 0.58/0.71 [21]P3(a1,x211)+E(x211,a2) % 0.58/0.71 [22]P3(a2,x221)+P4(x221,a1) % 0.58/0.71 [23]~P3(a1,x231)+P3(a2,x231) % 0.58/0.71 [25]~P3(a3,x251)+~P3(a1,x251) % 0.58/0.71 [24]~P2(x241,x242)+P3(x241,x242) % 0.58/0.71 [26]~P4(x261,x262)+~P2(x261,x262) % 0.58/0.71 [20]~P1(x201)+E(x201,a2)+E(x201,a3)+E(x201,a1) % 0.58/0.71 %EqnAxiom % 0.58/0.71 [1]E(x11,x11) % 0.58/0.71 [2]E(x22,x21)+~E(x21,x22) % 0.58/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.58/0.71 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.58/0.71 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.58/0.71 [6]P4(x62,x63)+~E(x61,x62)+~P4(x61,x63) % 0.58/0.71 [7]P4(x73,x72)+~E(x71,x72)+~P4(x73,x71) % 0.58/0.71 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.58/0.71 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.58/0.71 [10]P3(x102,x103)+~E(x101,x102)+~P3(x101,x103) % 0.58/0.71 [11]P3(x113,x112)+~E(x111,x112)+~P3(x113,x111) % 0.58/0.71 % 0.58/0.71 %------------------------------------------- % 0.58/0.71 cnf(33,plain, % 0.58/0.71 (P3(a2,a4)), % 0.58/0.71 inference(scs_inference,[],[19,16,17,24,21,26,22])). % 0.58/0.71 cnf(38,plain, % 0.58/0.71 (~P3(a3,a1)), % 0.58/0.71 inference(scs_inference,[],[19,16,17,24,21,26,22,23,25])). % 0.58/0.71 cnf(40,plain, % 0.58/0.71 (~E(a4,a1)), % 0.58/0.71 inference(scs_inference,[],[18,19,16,17,24,21,26,22,23,25,8])). % 0.58/0.71 cnf(55,plain, % 0.58/0.71 (~P2(a3,a1)), % 0.58/0.71 inference(scs_inference,[],[38,24])). % 0.58/0.71 cnf(57,plain, % 0.58/0.71 (~E(a4,f5(a2))), % 0.58/0.71 inference(scs_inference,[],[19,38,33,24,11])). % 0.58/0.71 cnf(90,plain, % 0.58/0.71 (~E(a4,a3)), % 0.58/0.71 inference(scs_inference,[],[55,16,8])). % 0.58/0.71 cnf(165,plain, % 0.58/0.71 (E(f5(a2),a2)), % 0.58/0.71 inference(scs_inference,[],[19,23,21])). % 0.58/0.71 cnf(169,plain, % 0.58/0.71 ($false), % 0.58/0.71 inference(scs_inference,[],[57,90,40,165,13,15,2,3,5,20]), % 0.58/0.71 ['proof']). % 0.58/0.71 % SZS output end Proof % 0.58/0.71 % Total time :0.220000s %------------------------------------------------------------------------------