%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PUZ018_10 : TPTP v9.0.0. Released v8.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 : Sat Jun 21 05:23:10 AM UTC 2025 % Result : Satisfiable 0.19s 0.47s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PUZ018_10 : TPTP v9.0.0. Released v8.2.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n010.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 : Fri Jun 20 02:41:41 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.47 % SZS status Satisfiable % 0.19/0.47 % SZS output start Model % 0.19/0.47 tff(person_val_1_type, type, ( % 0.19/0.47 person_val_1: person)). % 0.19/0.47 tff(b_type, type, ( % 0.19/0.47 b: person)). % 0.19/0.47 tff(day_val_5_type, type, ( % 0.19/0.47 day_val_5: day)). % 0.19/0.47 tff(friday_type, type, ( % 0.19/0.47 friday: day)). % 0.19/0.47 tff(day_val_3_type, type, ( % 0.19/0.47 day_val_3: day)). % 0.19/0.47 tff(wednesday_type, type, ( % 0.19/0.47 wednesday: day)). % 0.19/0.47 tff(day_val_0_type, type, ( % 0.19/0.47 day_val_0: day)). % 0.19/0.47 tff(sunday_type, type, ( % 0.19/0.47 sunday: day)). % 0.19/0.47 tff(person_val_0_type, type, ( % 0.19/0.47 person_val_0: person)). % 0.19/0.47 tff(a_type, type, ( % 0.19/0.47 a: person)). % 0.19/0.47 tff(person_val_2_type, type, ( % 0.19/0.47 person_val_2: person)). % 0.19/0.47 tff(c_type, type, ( % 0.19/0.47 c: person)). % 0.19/0.47 tff(day_val_1_type, type, ( % 0.19/0.47 day_val_1: day)). % 0.19/0.47 tff(monday_type, type, ( % 0.19/0.47 monday: day)). % 0.19/0.47 tff(day_val_6_type, type, ( % 0.19/0.47 day_val_6: day)). % 0.19/0.47 tff(saturday_type, type, ( % 0.19/0.47 saturday: day)). % 0.19/0.47 tff(day_val_4_type, type, ( % 0.19/0.47 day_val_4: day)). % 0.19/0.47 tff(thursday_type, type, ( % 0.19/0.47 thursday: day)). % 0.19/0.47 tff(day_val_2_type, type, ( % 0.19/0.47 day_val_2: day)). % 0.19/0.47 tff(tuesday_type, type, ( % 0.19/0.47 tuesday: day)). % 0.19/0.47 tff(consecutive_type, type, ( % 0.19/0.47 consecutive: ( day * day ) > $o)). % 0.19/0.47 tff(on_type, type, ( % 0.19/0.47 on: ( person * day ) > $o)). % 0.19/0.47 tff(all_on_type, type, ( % 0.19/0.47 all_on: day > $o)). % 0.19/0.47 tff(same_person_type, type, ( % 0.19/0.47 same_person: ( person * person ) > $o)). % 0.19/0.47 tff(same_day_type, type, ( % 0.19/0.47 same_day: ( day * day ) > $o)). % 0.19/0.47 tff(formula1, axiom, % 0.19/0.47 b = person!val!1). % 0.19/0.47 tff(formula2, axiom, % 0.19/0.47 friday = day!val!5). % 0.19/0.47 tff(formula3, axiom, % 0.19/0.47 wednesday = day!val!3). % 0.19/0.47 tff(formula4, axiom, % 0.19/0.47 sunday = day!val!0). % 0.19/0.47 tff(formula5, axiom, % 0.19/0.47 a = person!val!0). % 0.19/0.47 tff(formula6, axiom, % 0.19/0.47 c = person!val!2). % 0.19/0.47 tff(formula7, axiom, % 0.19/0.47 monday = day!val!1). % 0.19/0.47 tff(formula8, axiom, % 0.19/0.47 saturday = day!val!6). % 0.19/0.47 tff(formula9, axiom, % 0.19/0.47 thursday = day!val!4). % 0.19/0.47 tff(formula10, axiom, % 0.19/0.47 tuesday = day!val!2). % 0.19/0.47 tff(formula11, axiom, % 0.19/0.47 ![X0: day, X1: day] : (consecutive(X0, X1) <=> (((~(X1 = day!val!3)) & (~(X1 = day!val!5)) & (~(X1 = day!val!1)) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!1) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!6) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (~(X0 = day!val!3)) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!2) & (X0 = day!val!3) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!1) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!2)) | ((X1 = day!val!3) & (~(X1 = day!val!5)) & (~(X1 = day!val!1)) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!4) & (~(X0 = day!val!2))) | ((X1 = day!val!5) & (~(X1 = day!val!1)) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!6) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!4) & (~(X1 = day!val!2)) & (X0 = day!val!5) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2)))))). % 0.19/0.47 tff(formula12, axiom, % 0.19/0.47 ![X0: person, X1: day] : (on(X0, X1) <=> ((~((X1 = person!val!2) & (X0 = day!val!6) & (~(X0 = day!val!4)) & (~(X0 = day!val!2)))) & (~((X1 = person!val!2) & (X0 = day!val!3) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2)))) & (~((~(X1 = person!val!0)) & (~(X1 = person!val!2)) & (X0 = day!val!1) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2)))) & (~((X1 = person!val!2) & (~(X0 = day!val!3)) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2)))) & (~((~(X1 = person!val!0)) & (~(X1 = person!val!2)) & (X0 = day!val!6) & (~(X0 = day!val!4)) & (~(X0 = day!val!2)))) & (~((~(X1 = person!val!0)) & (~(X1 = person!val!2)) & (X0 = day!val!4) & (~(X0 = day!val!2)))) & (~((X1 = person!val!0) & (~(X1 = person!val!2)) & (X0 = day!val!4) & (~(X0 = day!val!2)))) & (~((X1 = person!val!0) & (~(X1 = person!val!2)) & (X0 = day!val!2))) & (~((X1 = person!val!0) & (~(X1 = person!val!2)) & (~(X0 = day!val!3)) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))))))). % 0.19/0.47 tff(formula13, axiom, % 0.19/0.47 ![X0: day] : (all_on(X0) <=> ((X0 = day!val!5) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))))). % 0.19/0.47 tff(formula14, axiom, % 0.19/0.47 ![X0: person, X1: person] : (same_person(X0, X1) <=> (((~(X1 = person!val!0)) & (~(X1 = person!val!2)) & (~(X0 = person!val!0)) & (~(X0 = person!val!2))) | ((X1 = person!val!0) & (~(X1 = person!val!2)) & (X0 = person!val!0) & (~(X0 = person!val!2))) | ((X1 = person!val!2) & (X0 = person!val!2))))). % 0.19/0.47 tff(formula15, axiom, % 0.19/0.47 ![X0: day, X1: day] : (same_day(X0, X1) <=> (((X1 = day!val!3) & (~(X1 = day!val!5)) & (~(X1 = day!val!1)) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!3) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!5) & (~(X1 = day!val!1)) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!5) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!4) & (~(X1 = day!val!2)) & (X0 = day!val!4) & (~(X0 = day!val!2))) | ((X1 = day!val!6) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!6) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!1) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (X0 = day!val!1) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((~(X1 = day!val!3)) & (~(X1 = day!val!5)) & (~(X1 = day!val!1)) & (~(X1 = day!val!6)) & (~(X1 = day!val!4)) & (~(X1 = day!val!2)) & (~(X0 = day!val!3)) & (~(X0 = day!val!5)) & (~(X0 = day!val!1)) & (~(X0 = day!val!6)) & (~(X0 = day!val!4)) & (~(X0 = day!val!2))) | ((X1 = day!val!2) & (X0 = day!val!2))))). % 0.19/0.47 % SZS output end Model % 0.19/0.47 % E exiting %------------------------------------------------------------------------------