%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MSC012+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n029.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 11:52:12 EDT 2024 % Result : Theorem 1.02s 1.12s % Output : CNFRefutation 1.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : MSC012+1 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n029.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 : Sat Jun 22 05:53:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.48/0.56 start to proof:theBenchmark % 1.02/1.12 %------------------------------------------- % 1.02/1.12 % File :CSE---1.7 % 1.02/1.12 % Problem :theBenchmark % 1.02/1.12 % Transform :cnf % 1.02/1.12 % Format :tptp:raw % 1.02/1.12 % Command :java -jar mcs_scs.jar %d %s % 1.02/1.12 % 1.02/1.12 % Result :Theorem 0.510000s % 1.02/1.12 % Output :CNFRefutation 0.510000s % 1.02/1.12 %------------------------------------------- % 1.02/1.12 %------------------------------------------------------------------------------ % 1.02/1.12 % File : MSC012+1 : TPTP v8.2.0. Released v3.2.0. % 1.02/1.12 % Domain : Miscellaneous % 1.02/1.12 % Problem : A serial and transitive relation inconsistent for non-empty domain % 1.02/1.12 % Version : Especial. % 1.02/1.12 % English : % 1.02/1.12 % 1.02/1.12 % Refs : [Bez05] Bezem (2005), Email to Geoff Sutcliffe % 1.02/1.12 % Source : [Bez05] % 1.02/1.12 % Names : ser [Bez05] % 1.02/1.12 % 1.02/1.12 % Status : Theorem % 1.02/1.12 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.16 v4.0.0, 0.15 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0 % 1.02/1.12 % 1.02/1.12 % Syntax : Number of formulae : 5 ( 2 unt; 0 def) % 1.02/1.12 % Number of atoms : 12 ( 0 equ) % 1.02/1.12 % Maximal formula atoms : 4 ( 2 avg) % 1.02/1.12 % Number of connectives : 7 ( 0 ~; 1 |; 4 &) % 1.02/1.12 % ( 0 <=>; 2 =>; 0 <=; 0 <~>) % 1.02/1.12 % Maximal formula depth : 6 ( 4 avg) % 1.02/1.12 % Maximal term depth : 1 ( 1 avg) % 1.02/1.12 % Number of predicates : 3 ( 3 usr; 1 prp; 0-2 aty) % 1.02/1.12 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 1.02/1.12 % Number of variables : 9 ( 7 !; 2 ?) % 1.02/1.12 % SPC : FOF_THM_RFO_NEQ % 1.02/1.12 % 1.02/1.12 % Comments : % 1.02/1.12 %------------------------------------------------------------------------------ % 1.02/1.12 fof(left_to_right,axiom, % 1.02/1.12 ! [A,B] : % 1.02/1.12 ( ( p(A) % 1.02/1.12 & less(A,B) % 1.02/1.12 & p(B) ) % 1.02/1.12 => goal ) ). % 1.02/1.12 % 1.02/1.12 fof(right_to_left,axiom, % 1.02/1.12 ! [A] : % 1.02/1.12 ( p(A) % 1.02/1.12 | ? [B] : % 1.02/1.12 ( less(A,B) % 1.02/1.12 & p(B) ) ) ). % 1.02/1.12 % 1.02/1.12 fof(transitive_less,axiom, % 1.02/1.12 ! [A,B,C] : % 1.02/1.12 ( ( less(A,B) % 1.02/1.12 & less(B,C) ) % 1.02/1.12 => less(A,C) ) ). % 1.02/1.12 % 1.02/1.12 fof(serial_less,axiom, % 1.02/1.12 ! [A] : % 1.02/1.12 ? [B] : less(A,B) ). % 1.02/1.12 % 1.02/1.12 fof(goal_to_be_proved,conjecture, % 1.02/1.12 goal ). % 1.02/1.12 % 1.02/1.12 %------------------------------------------------------------------------------ % 1.02/1.12 %------------------------------------------- % 1.02/1.12 % Proof found % 1.02/1.12 % SZS status Theorem for theBenchmark % 1.02/1.12 % SZS output start Proof % 1.02/1.12 %ClaNum:6(EqnAxiom:0) % 1.02/1.12 %VarNum:17(SingletonVarNum:8) % 1.02/1.12 %MaxLitNum:4 % 1.02/1.12 %MaxfuncDepth:1 % 1.02/1.12 %SharedTerms:3 % 1.02/1.12 %goalClause: 2 % 1.02/1.12 %singleGoalClaCount:1 % 1.02/1.12 [2]~P2(a5000) % 1.02/1.12 [1]P1(x11,f1(x11)) % 1.02/1.12 [3]P3(x31)+P3(f2(x31)) % 1.02/1.12 [4]P3(x41)+P1(x41,f2(x41)) % 1.02/1.12 [6]~P1(x61,x63)+P1(x61,x62)+~P1(x63,x62) % 1.02/1.12 [5]~P1(x52,x51)+~P3(x51)+~P3(x52)+P2(a5000) % 1.02/1.12 %EqnAxiom % 1.02/1.12 % 1.02/1.12 %------------------------------------------- % 1.08/1.13 cnf(9,plain, % 1.08/1.13 (~P3(f1(x91))+~P3(x91)), % 1.08/1.13 inference(scs_inference,[],[2,1,6,5])). % 1.08/1.13 cnf(11,plain, % 1.08/1.13 (~P3(x111)+~P3(x112)+~P1(x112,x111)), % 1.08/1.13 inference(scs_inference,[],[2,5])). % 1.08/1.13 cnf(23,plain, % 1.08/1.13 (~P1(f2(x231),f2(x231))+P3(x231)), % 1.08/1.13 inference(scs_inference,[],[3,11])). % 1.08/1.13 cnf(39,plain, % 1.08/1.13 (~P3(x391)+P1(f1(x391),f2(f1(x391)))), % 1.08/1.13 inference(scs_inference,[],[9,4])). % 1.08/1.13 cnf(119,plain, % 1.08/1.13 (~P3(x1191)+P1(x1191,f2(f1(x1191)))), % 1.08/1.13 inference(scs_inference,[],[1,39,6])). % 1.08/1.13 cnf(122,plain, % 1.08/1.13 (~P3(f2(f1(x1221)))+~P3(x1221)), % 1.08/1.13 inference(scs_inference,[],[119,11])). % 1.08/1.13 cnf(128,plain, % 1.08/1.13 (~P3(x1281)+P3(f1(x1281))), % 1.08/1.13 inference(scs_inference,[],[122,3])). % 1.08/1.13 cnf(129,plain, % 1.08/1.13 (~P3(x1291)), % 1.08/1.13 inference(scs_inference,[],[128,9])). % 1.08/1.13 cnf(132,plain, % 1.08/1.13 (P3(x1321)), % 1.08/1.13 inference(scs_inference,[],[129,23,3])). % 1.08/1.13 cnf(138,plain, % 1.08/1.13 ($false), % 1.08/1.13 inference(scs_inference,[],[129,132]), % 1.08/1.13 ['proof']). % 1.08/1.13 % SZS output end Proof % 1.08/1.13 % Total time :0.510000s %------------------------------------------------------------------------------