%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PUZ028-2 : TPTP v9.0.0. Bugfixed v1.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n012.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 05:23:12 AM UTC 2025 % Result : Satisfiable 0.21s 0.44s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.14 % Problem : PUZ028-2 : TPTP v9.0.0. Bugfixed v1.2.0. % 0.03/0.14 % Command : run_E %s %d THM % 0.14/0.35 % Computer : n012.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Jun 20 02:39:40 EDT 2025 % 0.14/0.35 % CPUTime : % 0.21/0.44 % SZS status Satisfiable % 0.21/0.44 % SZS output start Model % 0.21/0.44 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.44 tptp_fun__i_val_1: $i)). % 0.21/0.44 tff(n2_type, type, ( % 0.21/0.44 n2: $i)). % 0.21/0.44 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.44 tptp_fun__i_val_4: $i)). % 0.21/0.44 tff(n5_type, type, ( % 0.21/0.44 n5: $i)). % 0.21/0.44 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.44 tptp_fun__i_val_3: $i)). % 0.21/0.44 tff(n4_type, type, ( % 0.21/0.44 n4: $i)). % 0.21/0.44 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.44 tptp_fun__i_val_0: $i)). % 0.21/0.44 tff(n1_type, type, ( % 0.21/0.44 n1: $i)). % 0.21/0.44 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.44 tptp_fun__i_val_5: $i)). % 0.21/0.44 tff(n6_type, type, ( % 0.21/0.44 n6: $i)). % 0.21/0.44 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.44 tptp_fun__i_val_2: $i)). % 0.21/0.44 tff(n3_type, type, ( % 0.21/0.44 n3: $i)). % 0.21/0.44 tff(not_equal_type, type, ( % 0.21/0.44 not_equal: ( $i * $i ) > $o)). % 0.21/0.44 tff(not_familiar_type, type, ( % 0.21/0.44 not_familiar: ( $i * $i ) > $o)). % 0.21/0.44 tff(person_type, type, ( % 0.21/0.44 person: $i > $o)). % 0.21/0.44 tff(familiar_type, type, ( % 0.21/0.44 familiar: ( $i * $i ) > $o)). % 0.21/0.44 tff(formula1, axiom, % 0.21/0.44 n2 = $i!val!1). % 0.21/0.44 tff(formula2, axiom, % 0.21/0.44 n5 = $i!val!4). % 0.21/0.44 tff(formula3, axiom, % 0.21/0.44 n4 = $i!val!3). % 0.21/0.44 tff(formula4, axiom, % 0.21/0.44 n1 = $i!val!0). % 0.21/0.44 tff(formula5, axiom, % 0.21/0.44 n6 = $i!val!5). % 0.21/0.44 tff(formula6, axiom, % 0.21/0.44 n3 = $i!val!2). % 0.21/0.44 tff(formula7, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (not_equal(X0, X1) <=> ((~((X1 = $i!val!1) & (X0 = $i!val!1))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(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!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))))))). % 0.21/0.44 tff(formula8, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (not_familiar(X0, X1) <=> (((X1 = $i!val!1) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!1) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!4) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!4) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!1) & (X0 = $i!val!3) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!1) & (X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))))). % 0.21/0.44 tff(formula9, axiom, % 0.21/0.44 ![X0: $i] : (person(X0) <=> $true)). % 0.21/0.44 tff(formula10, axiom, % 0.21/0.44 ![X0: $i, X1: $i] : (familiar(X0, X1) <=> (((~(X1 = $i!val!4)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!1)) | ((X1 = $i!val!1) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!1)) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!4) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!1)) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (X0 = $i!val!1)) | ((X1 = $i!val!4) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!5) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!4) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!3) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!1))))). % 0.21/0.44 % SZS output end Model % 0.21/0.44 % E exiting %------------------------------------------------------------------------------