%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PUZ018-2 : TPTP v9.0.0. Released v1.2.0. % 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 0.20s 0.47s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ018-2 : TPTP v9.0.0. Released v1.2.0. % 0.07/0.12 % 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 02:41:42 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.47 % SZS status Satisfiable % 0.20/0.47 % SZS output start Model % 0.20/0.47 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.47 tptp_fun__i_val_6: $i)). % 0.20/0.47 tff(saturday_type, type, ( % 0.20/0.47 saturday: $i)). % 0.20/0.47 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.47 tptp_fun__i_val_4: $i)). % 0.20/0.47 tff(thursday_type, type, ( % 0.20/0.47 thursday: $i)). % 0.20/0.47 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.47 tptp_fun__i_val_2: $i)). % 0.20/0.47 tff(tuesday_type, type, ( % 0.20/0.47 tuesday: $i)). % 0.20/0.47 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.47 tptp_fun__i_val_5: $i)). % 0.20/0.47 tff(friday_type, type, ( % 0.20/0.47 friday: $i)). % 0.20/0.47 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.47 tptp_fun__i_val_7: $i)). % 0.20/0.47 tff(a_type, type, ( % 0.20/0.47 a: $i)). % 0.20/0.47 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.47 tptp_fun__i_val_9: $i)). % 0.20/0.47 tff(c_type, type, ( % 0.20/0.47 c: $i)). % 0.20/0.47 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.47 tptp_fun__i_val_3: $i)). % 0.20/0.47 tff(wednesday_type, type, ( % 0.20/0.47 wednesday: $i)). % 0.20/0.47 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.47 tptp_fun__i_val_0: $i)). % 0.20/0.47 tff(sunday_type, type, ( % 0.20/0.47 sunday: $i)). % 0.20/0.47 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.47 tptp_fun__i_val_8: $i)). % 0.20/0.47 tff(b_type, type, ( % 0.20/0.47 b: $i)). % 0.20/0.47 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.47 tptp_fun__i_val_1: $i)). % 0.20/0.47 tff(monday_type, type, ( % 0.20/0.47 monday: $i)). % 0.20/0.47 tff(same_day_type, type, ( % 0.20/0.47 same_day: ( $i * $i ) > $o)). % 0.20/0.47 tff(consecutive_type, type, ( % 0.20/0.47 consecutive: ( $i * $i ) > $o)). % 0.20/0.47 tff(same_person_type, type, ( % 0.20/0.47 same_person: ( $i * $i ) > $o)). % 0.20/0.47 tff(on_type, type, ( % 0.20/0.47 on: ( $i * $i ) > $o)). % 0.20/0.47 tff(all_on_type, type, ( % 0.20/0.47 all_on: $i > $o)). % 0.20/0.47 tff(formula1, axiom, % 0.20/0.47 saturday = $i!val!6). % 0.20/0.47 tff(formula2, axiom, % 0.20/0.47 thursday = $i!val!4). % 0.20/0.47 tff(formula3, axiom, % 0.20/0.47 tuesday = $i!val!2). % 0.20/0.47 tff(formula4, axiom, % 0.20/0.47 friday = $i!val!5). % 0.20/0.47 tff(formula5, axiom, % 0.20/0.47 a = $i!val!7). % 0.20/0.47 tff(formula6, axiom, % 0.20/0.47 c = $i!val!9). % 0.20/0.47 tff(formula7, axiom, % 0.20/0.47 wednesday = $i!val!3). % 0.20/0.47 tff(formula8, axiom, % 0.20/0.47 sunday = $i!val!0). % 0.20/0.47 tff(formula9, axiom, % 0.20/0.47 b = $i!val!8). % 0.20/0.47 tff(formula10, axiom, % 0.20/0.47 monday = $i!val!1). % 0.20/0.47 tff(formula11, axiom, % 0.20/0.47 ![X0: $i, X1: $i] : (same_day(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!1) & (X0 = $i!val!1))))). % 0.20/0.47 tff(formula12, axiom, % 0.20/0.47 ![X0: $i, X1: $i] : (consecutive(X0, X1) <=> (((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!4) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((X1 = $i!val!1) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!1))))). % 0.20/0.47 tff(formula13, axiom, % 0.20/0.47 ![X0: $i, X1: $i] : (same_person(X0, X1) <=> (((~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9))) | ((X1 = $i!val!7) & (~(X1 = $i!val!9)) & (X0 = $i!val!7) & (~(X0 = $i!val!9))) | ((X1 = $i!val!9) & (X0 = $i!val!9))))). % 0.20/0.47 tff(formula14, axiom, % 0.20/0.47 ![X0: $i, X1: $i] : (on(X0, X1) <=> ((~((X1 = $i!val!9) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X1 = $i!val!9) & (X0 = $i!val!3) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (X0 = $i!val!1))) & (~((X1 = $i!val!9) & (X0 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (X0 = $i!val!4) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X1 = $i!val!7) & (~(X1 = $i!val!9)) & (X0 = $i!val!4) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X1 = $i!val!7) & (~(X1 = $i!val!9)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X1 = $i!val!7) & (~(X1 = $i!val!9)) & (X0 = $i!val!0) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))))))). % 0.20/0.47 tff(formula15, axiom, % 0.20/0.47 ![X0: $i] : (all_on(X0) <=> ((X0 = $i!val!5) & (~(X0 = $i!val!1))))). % 0.20/0.47 % SZS output end Model % 0.20/0.47 % E exiting %------------------------------------------------------------------------------