%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRA075+1 : TPTP v9.0.0. Released v6.4.0. % 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 05:06:44 AM UTC 2025 % Result : Satisfiable 0.24s 0.42s % Output : Model 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : GRA075+1 : TPTP v9.0.0. Released v6.4.0. % 0.08/0.14 % Command : run_E %s %d THM % 0.15/0.36 % Computer : n012.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Jun 19 15:26:11 EDT 2025 % 0.15/0.36 % CPUTime : % 0.24/0.42 % SZS status Satisfiable % 0.24/0.42 % SZS output start Model % 0.24/0.42 tff(complete_type, type, ( % 0.24/0.42 complete: $o)). % 0.24/0.42 tff(tptp_fun__i_val_0_type, type, ( % 0.24/0.42 tptp_fun__i_val_0: $i)). % 0.24/0.42 tff(empty_type, type, ( % 0.24/0.42 empty: $i)). % 0.24/0.42 tff(path_type, type, ( % 0.24/0.42 path: ( $i * $i * $i ) > $o)). % 0.24/0.42 tff(in_path_type, type, ( % 0.24/0.42 in_path: ( $i * $i ) > $o)). % 0.24/0.42 tff(tail_of_type, type, ( % 0.24/0.42 tail_of: $i > $i)). % 0.24/0.42 tff(precedes_type, type, ( % 0.24/0.42 precedes: ( $i * $i * $i ) > $o)). % 0.24/0.42 tff(on_path_type, type, ( % 0.24/0.42 on_path: ( $i * $i ) > $o)). % 0.24/0.42 tff(vertex_type, type, ( % 0.24/0.42 vertex: $i > $o)). % 0.24/0.42 tff(shortest_path_type, type, ( % 0.24/0.42 shortest_path: ( $i * $i * $i ) > $o)). % 0.24/0.42 tff(sequential_type, type, ( % 0.24/0.42 sequential: ( $i * $i ) > $o)). % 0.24/0.42 tff(less_or_equal_type, type, ( % 0.24/0.42 less_or_equal: ( $i * $i ) > $o)). % 0.24/0.42 tff(path_cons_type, type, ( % 0.24/0.42 path_cons: ( $i * $i ) > $i)). % 0.24/0.42 tff(edge_type, type, ( % 0.24/0.42 edge: $i > $o)). % 0.24/0.42 tff(head_of_type, type, ( % 0.24/0.42 head_of: $i > $i)). % 0.24/0.42 tff(length_of_type, type, ( % 0.24/0.42 length_of: $i > $i)). % 0.24/0.42 tff(formula1, axiom, % 0.24/0.42 complete <=> $true). % 0.24/0.42 tff(formula2, axiom, % 0.24/0.42 empty = $i!val!0). % 0.24/0.42 tff(formula3, axiom, % 0.24/0.42 ![X0: $i, X1: $i, X2: $i] : (path(X0, X1, X2) <=> $false)). % 0.24/0.42 tff(formula4, axiom, % 0.24/0.42 ![X0: $i, X1: $i] : (in_path(X0, X1) <=> $false)). % 0.24/0.42 tff(formula5, axiom, % 0.24/0.42 ![X0: $i] : (tail_of(X0) = $i!val!0)). % 0.24/0.42 tff(formula6, axiom, % 0.24/0.42 ![X0: $i, X1: $i, X2: $i] : (precedes(X0, X1, X2) <=> $false)). % 0.24/0.42 tff(formula7, axiom, % 0.24/0.42 ![X0: $i, X1: $i] : (on_path(X0, X1) <=> $true)). % 0.24/0.42 tff(formula8, axiom, % 0.24/0.42 ![X0: $i] : (vertex(X0) <=> $false)). % 0.24/0.42 tff(formula9, axiom, % 0.24/0.42 ![X0: $i, X1: $i, X2: $i] : (shortest_path(X0, X1, X2) <=> $false)). % 0.24/0.42 tff(formula10, axiom, % 0.24/0.42 ![X0: $i, X1: $i] : (sequential(X0, X1) <=> $false)). % 0.24/0.42 tff(formula11, axiom, % 0.24/0.42 ![X0: $i, X1: $i] : (less_or_equal(X0, X1) <=> $true)). % 0.24/0.42 tff(formula12, axiom, % 0.24/0.42 ![X0: $i, X1: $i] : (path_cons(X0, X1) = $i!val!0)). % 0.24/0.42 tff(formula13, axiom, % 0.24/0.42 ![X0: $i] : (edge(X0) <=> $false)). % 0.24/0.42 tff(formula14, axiom, % 0.24/0.42 ![X0: $i] : (head_of(X0) = $i!val!0)). % 0.24/0.42 tff(formula15, axiom, % 0.24/0.42 ![X0: $i] : (length_of(X0) = $i!val!0)). % 0.24/0.42 % SZS output end Model % 0.24/0.42 % E exiting %------------------------------------------------------------------------------