%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KLE174+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 05:13:09 AM UTC 2025 % Result : Satisfiable 0.14s 0.41s % Output : Model 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : KLE174+1 : TPTP v9.0.0. Released v6.4.0. % 0.09/0.14 % Command : run_E %s %d THM % 0.14/0.36 % Computer : n012.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Jun 19 19:07:56 EDT 2025 % 0.14/0.36 % CPUTime : % 0.14/0.41 % SZS status Satisfiable % 0.14/0.41 % SZS output start Model % 0.14/0.41 tff(tptp_fun__i_val_0_type, type, ( % 0.14/0.41 tptp_fun__i_val_0: $i)). % 0.14/0.41 tff(one_type, type, ( % 0.14/0.41 one: $i)). % 0.14/0.41 tff(zero_type, type, ( % 0.14/0.41 zero: $i)). % 0.14/0.41 tff(star_type, type, ( % 0.14/0.41 star: $i > $i)). % 0.14/0.41 tff(antidomain_type, type, ( % 0.14/0.41 antidomain: $i > $i)). % 0.14/0.41 tff(coantidomain_type, type, ( % 0.14/0.41 coantidomain: $i > $i)). % 0.14/0.41 tff(multiplication_type, type, ( % 0.14/0.41 multiplication: ( $i * $i ) > $i)). % 0.14/0.41 tff(c_type, type, ( % 0.14/0.41 c: $i > $i)). % 0.14/0.41 tff(forward_diamond_type, type, ( % 0.14/0.41 forward_diamond: ( $i * $i ) > $i)). % 0.14/0.41 tff(forward_box_type, type, ( % 0.14/0.41 forward_box: ( $i * $i ) > $i)). % 0.14/0.41 tff(domain_type, type, ( % 0.14/0.41 domain: $i > $i)). % 0.14/0.41 tff(divergence_type, type, ( % 0.14/0.41 divergence: $i > $i)). % 0.14/0.41 tff(domain_difference_type, type, ( % 0.14/0.41 domain_difference: ( $i * $i ) > $i)). % 0.14/0.41 tff(addition_type, type, ( % 0.14/0.41 addition: ( $i * $i ) > $i)). % 0.14/0.41 tff(leq_type, type, ( % 0.14/0.41 leq: ( $i * $i ) > $o)). % 0.14/0.41 tff(backward_diamond_type, type, ( % 0.14/0.41 backward_diamond: ( $i * $i ) > $i)). % 0.14/0.41 tff(backward_box_type, type, ( % 0.14/0.41 backward_box: ( $i * $i ) > $i)). % 0.14/0.41 tff(codomain_type, type, ( % 0.14/0.41 codomain: $i > $i)). % 0.14/0.41 tff(formula1, axiom, % 0.14/0.41 one = $i!val!0). % 0.14/0.41 tff(formula2, axiom, % 0.14/0.41 zero = $i!val!0). % 0.14/0.41 tff(formula3, axiom, % 0.14/0.41 ![X0: $i] : (star(X0) = $i!val!0)). % 0.14/0.41 tff(formula4, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (multiplication(X0, X1) = ite_t(((X0 = coantidomain(X1)) | (X1 = antidomain(X0)) | (X1 = $i!val!0) | (X0 = $i!val!0)), $i!val!0, ite_t((X1 = $i!val!0), X0, X1)))). % 0.14/0.41 tff(formula5, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (forward_box(X0, X1) = c(forward_diamond(X1, c(X0))))). % 0.14/0.41 tff(formula6, axiom, % 0.14/0.41 ![X0: $i] : (domain(X0) = $i!val!0)). % 0.14/0.41 tff(formula7, axiom, % 0.14/0.41 ![X0: $i] : (divergence(X0) = $i!val!0)). % 0.14/0.41 tff(formula8, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (domain_difference(X0, X1) = multiplication(domain(X1), antidomain(X0)))). % 0.14/0.41 tff(formula9, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (leq(X0, X1) <=> (addition(X1, X0) = X0))). % 0.14/0.41 tff(formula10, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (addition(X0, X1) = X1)). % 0.14/0.41 tff(formula11, axiom, % 0.14/0.41 ![X0: $i] : (coantidomain(X0) = $i!val!0)). % 0.14/0.41 tff(formula12, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (backward_box(X0, X1) = c(backward_diamond(X1, c(X0))))). % 0.14/0.41 tff(formula13, axiom, % 0.14/0.41 ![X0: $i] : (antidomain(X0) = $i!val!0)). % 0.14/0.41 tff(formula14, axiom, % 0.14/0.41 ![X0: $i] : (c(X0) = antidomain(domain(X0)))). % 0.14/0.41 tff(formula15, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (forward_diamond(X0, X1) = $i!val!0)). % 0.14/0.41 tff(formula16, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (backward_diamond(X0, X1) = codomain(multiplication(codomain(X0), X1)))). % 0.14/0.41 tff(formula17, axiom, % 0.14/0.41 ![X0: $i] : (codomain(X0) = coantidomain(coantidomain(X0)))). % 0.14/0.41 % SZS output end Model % 0.14/0.41 % E exiting %------------------------------------------------------------------------------