%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GEO079-1 : TPTP v8.2.0. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 06:03:41 EDT 2024 % Result : Unsatisfiable 0.55s 0.63s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO079-1 : TPTP v8.2.0. Released v1.1.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 21 10:42:09 EDT 2024 % 0.12/0.34 % CPUTime : % 0.54/0.60 start to proof:theBenchmark % 0.55/0.63 %------------------------------------------- % 0.55/0.63 % File :CSE---1.7 % 0.55/0.63 % Problem :theBenchmark % 0.55/0.63 % Transform :cnf % 0.55/0.63 % Format :tptp:raw % 0.55/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.63 % 0.55/0.63 % Result :Theorem 0.000000s % 0.55/0.63 % Output :CNFRefutation 0.000000s % 0.55/0.63 %------------------------------------------- % 0.55/0.63 %-------------------------------------------------------------------------- % 0.55/0.63 % File : GEO079-1 : TPTP v8.2.0. Released v1.1.0. % 0.55/0.63 % Domain : Geometry % 0.55/0.63 % Problem : The alternate interior angles in a trapezoid are equal % 0.55/0.63 % Version : [Cha70] axioms : Incomplete. % 0.55/0.63 % English : The alternate interior angles formed by a diagonal of a (not % 0.55/0.63 % necessarily isosceles) trapezoid are equal. % 0.55/0.63 % 0.55/0.63 % Refs : [Sla67] Slagle (1967), Automatic Theorem Proving with Renamabl % 0.55/0.63 % Source : [Sla67] % 0.55/0.63 % Names : GEOMETRY THEOREM [Sla67] % 0.55/0.63 % 0.55/0.63 % Status : Unsatisfiable % 0.55/0.63 % Rating : 0.00 v2.0.0 % 0.55/0.63 % Syntax : Number of clauses : 6 ( 2 unt; 0 nHn; 6 RR) % 0.55/0.63 % Number of literals : 11 ( 0 equ; 6 neg) % 0.55/0.63 % Maximal clause size : 3 ( 1 avg) % 0.55/0.63 % Maximal term depth : 1 ( 1 avg) % 0.55/0.63 % Number of predicates : 5 ( 5 usr; 0 prp; 3-6 aty) % 0.55/0.63 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 0.55/0.63 % Number of variables : 20 ( 0 sgn) % 0.55/0.63 % SPC : CNF_UNS_EPR_NEQ_HRN % 0.55/0.63 % 0.55/0.63 % Comments : % 0.55/0.63 %-------------------------------------------------------------------------- % 0.55/0.63 cnf(right_angles_are_equal,axiom, % 0.55/0.63 ( ~ right_angle(U,V,W) % 0.55/0.63 | ~ right_angle(X,Y,Z) % 0.55/0.63 | eq(U,V,W,X,Y,Z) ) ). % 0.55/0.63 % 0.55/0.63 cnf(corresponding_angles_are_equal,axiom, % 0.55/0.63 ( ~ congruent(U,V,W,X,Y,Z) % 0.55/0.63 | eq(U,V,W,X,Y,Z) ) ). % 0.55/0.63 % 0.55/0.63 cnf(trapezoid_definition,axiom, % 0.55/0.63 ( ~ trapezoid(U,V,W,X) % 0.55/0.63 | parallel(V,W,U,X) ) ). % 0.55/0.63 % 0.55/0.63 cnf(interior_angles_are_equal,axiom, % 0.55/0.63 ( ~ parallel(U,V,X,Y) % 0.55/0.63 | eq(X,V,U,V,X,Y) ) ). % 0.55/0.63 % 0.55/0.63 cnf(a_trapezoid,hypothesis, % 0.55/0.63 trapezoid(a,b,c,d) ). % 0.55/0.63 % 0.55/0.63 cnf(prove_angles_equal,negated_conjecture, % 0.55/0.63 ~ eq(a,c,b,c,a,d) ). % 0.55/0.63 % 0.55/0.63 %-------------------------------------------------------------------------- % 0.55/0.63 %------------------------------------------- % 0.55/0.63 % Proof found % 0.55/0.63 % SZS status Theorem for theBenchmark % 0.55/0.63 % SZS output start Proof % 0.55/0.63 %ClaNum:6(EqnAxiom:0) % 0.55/0.63 %VarNum:42(SingletonVarNum:20) % 0.55/0.63 %MaxLitNum:3 % 0.55/0.63 %MaxfuncDepth:0 % 0.55/0.63 %SharedTerms:6 % 0.55/0.63 %goalClause: 2 % 0.55/0.63 %singleGoalClaCount:1 % 0.55/0.63 [1]P1(a1,a2,a3,a4) % 0.55/0.63 [2]~P2(a1,a3,a2,a3,a1,a4) % 0.55/0.63 [3]~P1(x33,x31,x32,x34)+P4(x31,x32,x33,x34) % 0.55/0.63 [5]~P4(x53,x52,x51,x54)+P2(x51,x52,x53,x52,x51,x54) % 0.55/0.63 [6]~P3(x61,x62,x63,x64,x65,x66)+P2(x61,x62,x63,x64,x65,x66) % 0.55/0.63 [4]~P5(x44,x45,x46)+~P5(x41,x42,x43)+P2(x41,x42,x43,x44,x45,x46) % 0.55/0.63 %EqnAxiom % 0.55/0.63 % 0.55/0.63 %------------------------------------------- % 0.55/0.64 cnf(9,plain, % 0.55/0.64 ($false), % 0.55/0.64 inference(scs_inference,[],[2,1,5,3]), % 0.55/0.64 ['proof']). % 0.55/0.64 % SZS output end Proof % 0.55/0.64 % Total time :0.000000s %------------------------------------------------------------------------------