%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n026.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 : Tue May 5 06:24:00 PM UTC 2026 % Result : Satisfiable 0.19s 0.45s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : run_E %s %d THM % 0.14/0.32 % Computer : n026.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.32 % CPULimit : 300 % 0.14/0.32 % WCLimit : 300 % 0.14/0.32 % DateTime : Mon May 4 21:00:40 EDT 2026 % 0.14/0.33 % CPUTime : % 0.19/0.45 % SZS status Satisfiable % 0.19/0.45 % SZS output start Model % 0.19/0.45 tff(between_type, type, ( % 0.19/0.45 between: ( $i * $i * $i ) > $o)). % 0.19/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.45 tptp_fun__i_val_2: $i)). % 0.19/0.45 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.45 tptp_fun__i_val_1: $i)). % 0.19/0.45 tff(equidistant_type, type, ( % 0.19/0.45 equidistant: ( $i * $i * $i * $i ) > $o)). % 0.19/0.45 tff(formula1, axiom, % 0.19/0.45 ![X0: $i, X1: $i, X2: $i] : (between(X0, X1, X2) <=> $false)). % 0.19/0.45 tff(formula2, axiom, % 0.19/0.45 ![X0: $i, X1: $i, X2: $i, X3: $i] : (equidistant(X0, X1, X2, X3) <=> (((X3 = $i!val!1) & (~(X3 = $i!val!2)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2))) | ((X3 = $i!val!1) & (~(X3 = $i!val!2)) & (X2 = $i!val!2) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X3 = $i!val!2) & (X2 = $i!val!1) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X3 = $i!val!1)) & (~(X3 = $i!val!2)) & (X2 = $i!val!2) & (X1 = $i!val!2) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2))) | ((X3 = $i!val!1) & (~(X3 = $i!val!2)) & (X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!2))) | ((~(X3 = $i!val!1)) & (~(X3 = $i!val!2)) & (X2 = $i!val!1) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2))) | ((~(X3 = $i!val!1)) & (~(X3 = $i!val!2)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2))) | ((X3 = $i!val!2) & (X2 = $i!val!1) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!2))) | ((X3 = $i!val!2) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2))) | ((X3 = $i!val!2) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X3 = $i!val!1) & (~(X3 = $i!val!2)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!2))) | ((X3 = $i!val!1) & (~(X3 = $i!val!2)) & (X2 = $i!val!1) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!2))) | ((~(X3 = $i!val!1)) & (~(X3 = $i!val!2)) & (X2 = $i!val!2) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X3 = $i!val!1)) & (~(X3 = $i!val!2)) & (X2 = $i!val!1) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!2))) | ((X3 = $i!val!2) & (X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!2))))). % 0.19/0.45 % SZS output end Model % 0.19/0.45 % E exiting %------------------------------------------------------------------------------