%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRP398-3 : TPTP v9.0.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n016.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 05:07:43 AM UTC 2025 % Result : Satisfiable 0.12s 0.38s % Output : Model 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP398-3 : TPTP v9.0.0. Released v2.5.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n016.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 19 16:01:47 EDT 2025 % 0.12/0.34 % CPUTime : % 0.12/0.38 % SZS status Satisfiable % 0.12/0.38 % SZS output start Model % 0.12/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.12/0.38 tptp_fun__i_val_0: $i)). % 0.12/0.38 tff(identity_type, type, ( % 0.12/0.38 identity: $i)). % 0.12/0.38 tff(inverse_type, type, ( % 0.12/0.38 inverse: $i > $i)). % 0.12/0.38 tff(multiply_type, type, ( % 0.12/0.38 multiply: ( $i * $i ) > $i)). % 0.12/0.38 tff(subgroup_member_type, type, ( % 0.12/0.38 subgroup_member: $i > $o)). % 0.12/0.38 tff(formula1, axiom, % 0.12/0.38 identity = $i!val!0). % 0.12/0.38 tff(formula2, axiom, % 0.12/0.38 ![X0: $i, X1: $i] : (multiply(X0, X1) = ite_t((X1 = inverse(X0)), $i!val!0, X0))). % 0.12/0.38 tff(formula3, axiom, % 0.12/0.38 ![X0: $i] : (subgroup_member(X0) <=> $false)). % 0.12/0.38 tff(formula4, axiom, % 0.12/0.38 ![X0: $i] : (inverse(X0) = $i!val!0)). % 0.12/0.38 % SZS output end Model % 0.12/0.38 % E exiting %------------------------------------------------------------------------------