%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN078+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 19:04:29 EDT 2024 % Result : Theorem 0.54s 0.60s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN078+1 : TPTP v8.2.0. Released v2.0.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n022.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Sun Jun 23 18:30:09 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % File :CSE---1.7 % 0.54/0.60 % Problem :theBenchmark % 0.54/0.60 % Transform :cnf % 0.54/0.60 % Format :tptp:raw % 0.54/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.60 % 0.54/0.60 % Result :Theorem 0.020000s % 0.54/0.60 % Output :CNFRefutation 0.020000s % 0.54/0.60 %------------------------------------------- % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 % File : SYN078+1 : TPTP v8.2.0. Released v2.0.0. % 0.54/0.60 % Domain : Syntactic % 0.54/0.60 % Problem : Pelletier Problem 56 % 0.54/0.60 % Version : Especial. % 0.54/0.60 % English : % 0.54/0.60 % 0.54/0.60 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.54/0.60 % : [Pel88] Pelletier (1988), Errata % 0.54/0.60 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.54/0.60 % Source : [Hah94] % 0.54/0.60 % Names : Pelletier 56 [Pel86] % 0.54/0.60 % 0.54/0.60 % Status : Theorem % 0.54/0.60 % Rating : 0.08 v8.2.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.00 v6.2.0, 0.08 v6.1.0, 0.03 v6.0.0, 0.00 v5.3.0, 0.07 v5.2.0, 0.00 v5.0.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.00 v2.1.0 % 0.54/0.60 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.54/0.60 % Number of atoms : 5 ( 1 equ) % 0.54/0.60 % Maximal formula atoms : 5 ( 5 avg) % 0.54/0.60 % Number of connectives : 4 ( 0 ~; 0 |; 1 &) % 0.54/0.60 % ( 1 <=>; 2 =>; 0 <=; 0 <~>) % 0.54/0.60 % Maximal formula depth : 6 ( 6 avg) % 0.54/0.60 % Maximal term depth : 2 ( 1 avg) % 0.54/0.60 % Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty) % 0.54/0.60 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.54/0.60 % Number of variables : 3 ( 2 !; 1 ?) % 0.54/0.60 % SPC : FOF_THM_RFO_SEQ % 0.54/0.60 % 0.54/0.60 % Comments : This problem is incorrect in [Pel86] and is corrected in [Pel88]. % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 %----Problem axioms % 0.54/0.60 fof(pel56,conjecture, % 0.54/0.60 ( ! [X] : % 0.54/0.60 ( ? [Y] : % 0.54/0.60 ( big_p(Y) % 0.54/0.60 & X = f(Y) ) % 0.54/0.60 => big_p(X) ) % 0.54/0.60 <=> ! [U] : % 0.54/0.60 ( big_p(U) % 0.54/0.60 => big_p(f(U)) ) ) ). % 0.54/0.60 % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % Proof found % 0.54/0.60 % SZS status Theorem for theBenchmark % 0.54/0.60 % SZS output start Proof % 0.54/0.60 %ClaNum:12(EqnAxiom:5) % 0.54/0.60 %VarNum:6(SingletonVarNum:3) % 0.54/0.60 %MaxLitNum:5 % 0.54/0.60 %MaxfuncDepth:1 % 0.54/0.60 %SharedTerms:10 % 0.54/0.60 %goalClause: 6 7 8 9 10 11 12 % 0.54/0.60 [7]P1(a1)+P1(a4) % 0.54/0.60 [8]P1(a4)+~P1(a2) % 0.54/0.60 [6]P1(a4)+E(f3(a1),a2) % 0.54/0.60 [9]E(f3(a1),a2)+~P1(f3(a4)) % 0.54/0.60 [10]P1(a1)+~P1(f3(a4)) % 0.54/0.60 [11]~P1(a2)+~P1(f3(a4)) % 0.54/0.60 [12]~P1(x122)+~P1(x123)+P1(x121)+~E(x121,f3(x123))+P1(f3(x122)) % 0.54/0.60 %EqnAxiom % 0.54/0.60 [1]E(x11,x11) % 0.54/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.60 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.54/0.60 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.54/0.60 % 0.54/0.60 %------------------------------------------- % 0.54/0.61 cnf(13,plain, % 0.54/0.61 (~P1(x131)+~P1(x132)+P1(f3(x132))+P1(f3(x131))), % 0.54/0.61 inference(equality_inference,[],[12])). % 0.54/0.61 cnf(14,plain, % 0.54/0.61 (P1(f3(a1))+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[7,13])). % 0.54/0.61 cnf(17,plain, % 0.54/0.61 (~E(a1,x171)+P1(x171)+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[10,5])). % 0.54/0.61 cnf(19,plain, % 0.54/0.61 (~E(a1,a2)+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[11,17])). % 0.54/0.61 cnf(20,plain, % 0.54/0.61 (~E(f3(a1),x201)+P1(x201)+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[14,5])). % 0.54/0.61 cnf(22,plain, % 0.54/0.61 (E(f3(x221),f3(x222))+~E(x222,x221)), % 0.54/0.61 inference(scs_inference,[],[2,4])). % 0.54/0.61 cnf(26,plain, % 0.54/0.61 (~E(a2,a1)+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[19,2])). % 0.54/0.61 cnf(27,plain, % 0.54/0.61 (~E(x271,a1)+~E(a2,x271)+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[26,3])). % 0.54/0.61 cnf(28,plain, % 0.54/0.61 (E(f3(a2),f3(f3(a1)))+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[9,22])). % 0.54/0.61 cnf(30,plain, % 0.54/0.61 (~E(x301,a2)+~E(x301,a1)+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[27,2])). % 0.54/0.61 cnf(31,plain, % 0.54/0.61 (~E(a1,x311)+~E(x311,a2)+~P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[30,2])). % 0.54/0.61 cnf(41,plain, % 0.54/0.61 (~E(f3(a1),a2)+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[8,20])). % 0.54/0.61 cnf(42,plain, % 0.54/0.61 (~E(a2,f3(a1))+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[41,2])). % 0.54/0.61 cnf(43,plain, % 0.54/0.61 (~E(x431,f3(a1))+~E(a2,x431)+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[42,3])). % 0.54/0.61 cnf(44,plain, % 0.54/0.61 (~E(x441,a1)+~E(a2,f3(x441))+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[43,4])). % 0.54/0.61 cnf(45,plain, % 0.54/0.61 (~E(f3(x451),a2)+~E(x451,a1)+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[44,2])). % 0.54/0.61 cnf(46,plain, % 0.54/0.61 (~E(a1,x461)+~E(f3(x461),a2)+P1(a4)), % 0.54/0.61 inference(scs_inference,[],[45,2])). % 0.54/0.61 cnf(47,plain, % 0.54/0.61 (P1(a4)), % 0.54/0.61 inference(scs_inference,[],[46,6])). % 0.54/0.61 cnf(48,plain, % 0.54/0.61 (P1(f3(a4))), % 0.54/0.61 inference(scs_inference,[],[47,13])). % 0.54/0.61 cnf(50,plain, % 0.54/0.61 (E(f3(a1),a2)), % 0.54/0.61 inference(scs_inference,[],[47,13,9])). % 0.54/0.61 cnf(51,plain, % 0.54/0.61 (P1(a1)), % 0.54/0.61 inference(scs_inference,[],[47,13,9,10])). % 0.54/0.61 cnf(52,plain, % 0.54/0.61 (~P1(a2)), % 0.54/0.61 inference(scs_inference,[],[47,13,9,10,11])). % 0.54/0.61 cnf(61,plain, % 0.54/0.61 (~E(a4,a2)), % 0.54/0.61 inference(scs_inference,[],[47,13,9,10,11,19,26,28,27,30,31,5])). % 0.54/0.61 cnf(68,plain, % 0.54/0.61 (~E(a4,f3(a1))), % 0.54/0.61 inference(scs_inference,[],[50,61,2,3])). % 0.54/0.61 cnf(69,plain, % 0.54/0.61 (~E(f3(a4),a2)), % 0.54/0.61 inference(scs_inference,[],[52,50,48,61,2,3,5])). % 0.54/0.61 cnf(70,plain, % 0.54/0.61 (P1(f3(a1))), % 0.54/0.61 inference(scs_inference,[],[51,52,50,48,61,2,3,5,13])). % 0.54/0.61 cnf(75,plain, % 0.54/0.61 ($false), % 0.54/0.61 inference(scs_inference,[],[52,50,70,68,69,2,3,5]), % 0.54/0.61 ['proof']). % 0.54/0.61 % SZS output end Proof % 0.54/0.61 % Total time :0.020000s %------------------------------------------------------------------------------