%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS044+1 : TPTP v9.0.0. Released v3.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n004.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 05:13:15 AM UTC 2025 % Result : Satisfiable 0.19s 0.43s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS044+1 : TPTP v9.0.0. Released v3.1.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n004.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Thu Jun 19 19:09:53 EDT 2025 % 0.11/0.33 % CPUTime : % 0.19/0.43 % SZS status Satisfiable % 0.19/0.43 % SZS output start Model % 0.19/0.43 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.43 tptp_fun__i_val_0: $i)). % 0.19/0.43 tff(i2003_11_14_17_16_1832_type, type, ( % 0.19/0.43 i2003_11_14_17_16_1832: $i)). % 0.19/0.43 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.43 tptp_fun__i_val_1: $i)). % 0.19/0.43 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.43 tptp_fun__i_val_2: $i)). % 0.19/0.43 tff(rf_type, type, ( % 0.19/0.43 rf: ( $i * $i ) > $o)). % 0.19/0.43 tff(rs_type, type, ( % 0.19/0.43 rs: ( $i * $i ) > $o)). % 0.19/0.43 tff(cowlNothing_type, type, ( % 0.19/0.43 cowlNothing: $i > $o)). % 0.19/0.43 tff(cpxcomp_type, type, ( % 0.19/0.43 cpxcomp: $i > $o)). % 0.19/0.43 tff(rinvF1_type, type, ( % 0.19/0.43 rinvF1: ( $i * $i ) > $o)). % 0.19/0.43 tff(rf1_type, type, ( % 0.19/0.43 rf1: ( $i * $i ) > $o)). % 0.19/0.43 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.43 tptp_fun__i_val_4: $i)). % 0.19/0.43 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.43 tptp_fun__i_val_3: $i)). % 0.19/0.43 tff(ra_Px1_type, type, ( % 0.19/0.43 ra_Px1: ( $i * $i ) > $o)). % 0.19/0.43 tff(rinvS_type, type, ( % 0.19/0.43 rinvS: ( $i * $i ) > $o)). % 0.19/0.43 tff(cSatisfiable_type, type, ( % 0.19/0.43 cSatisfiable: $i > $o)). % 0.19/0.43 tff(cp_type, type, ( % 0.19/0.43 cp: $i > $o)). % 0.19/0.43 tff(xsd_string_type, type, ( % 0.19/0.43 xsd_string: $i > $o)). % 0.19/0.43 tff(xsd_integer_type, type, ( % 0.19/0.43 xsd_integer: $i > $o)). % 0.19/0.43 tff(rinvF_type, type, ( % 0.19/0.43 rinvF: ( $i * $i ) > $o)). % 0.19/0.43 tff(cowlThing_type, type, ( % 0.19/0.43 cowlThing: $i > $o)). % 0.19/0.43 tff(formula1, axiom, % 0.19/0.43 i2003_11_14_17_16_1832 = $i!val!0). % 0.19/0.43 tff(formula2, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : (rf(X0, X1) <=> ((~(X1 = $i!val!1)) & (X0 = $i!val!2) & (~(X0 = $i!val!1))))). % 0.19/0.43 tff(formula3, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : (rs(X0, X1) <=> $false)). % 0.19/0.43 tff(formula4, axiom, % 0.19/0.43 ![X0: $i] : (cowlNothing(X0) <=> $false)). % 0.19/0.43 tff(formula5, axiom, % 0.19/0.43 ![X0: $i] : (cpxcomp(X0) <=> (X0 = $i!val!1))). % 0.19/0.43 tff(formula6, axiom, % 0.19/0.43 rinvF1($i!val!1, $i!val!0) <=> $true). % 0.19/0.43 tff(formula7, axiom, % 0.19/0.43 rinvF1($i!val!0, $i!val!0) <=> $false). % 0.19/0.43 tff(formula8, axiom, % 0.19/0.43 rinvF1($i!val!1, $i!val!1) <=> $false). % 0.19/0.43 tff(formula9, axiom, % 0.19/0.43 rinvF1($i!val!0, $i!val!1) <=> $false). % 0.19/0.43 tff(formula10, axiom, % 0.19/0.43 rinvF1($i!val!2, $i!val!0) <=> $false). % 0.19/0.43 tff(formula11, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : ((~((($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!0 = X1)))) => (rinvF1(X0, X1) <=> rf1(X0, X1)))). % 0.19/0.43 tff(formula12, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : (ra_Px1(X0, X1) <=> (((X1 = $i!val!1) & (X0 = $i!val!4)) | ((X1 = $i!val!1) & (X0 = $i!val!3) & (~(X0 = $i!val!4)))))). % 0.19/0.43 tff(formula13, axiom, % 0.19/0.43 rinvS($i!val!0, $i!val!0) <=> $false). % 0.19/0.43 tff(formula14, axiom, % 0.19/0.43 rinvS($i!val!0, $i!val!1) <=> $false). % 0.19/0.43 tff(formula15, axiom, % 0.19/0.43 rinvS($i!val!1, $i!val!0) <=> $false). % 0.19/0.43 tff(formula16, axiom, % 0.19/0.43 rinvS($i!val!1, $i!val!1) <=> $false). % 0.19/0.43 tff(formula17, axiom, % 0.19/0.43 rinvS($i!val!2, $i!val!0) <=> $false). % 0.19/0.43 tff(formula18, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : ((~((($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!0 = X1)))) => (rinvS(X0, X1) <=> rs(X0, X1)))). % 0.19/0.43 tff(formula19, axiom, % 0.19/0.43 ![X0: $i] : (cSatisfiable(X0) <=> (~(X0 = $i!val!1)))). % 0.19/0.43 tff(formula20, axiom, % 0.19/0.43 ![X0: $i] : (cp(X0) <=> (~(X0 = $i!val!1)))). % 0.19/0.43 tff(formula21, axiom, % 0.19/0.43 ![X0: $i] : (xsd_integer(X0) <=> (~xsd_string(X0)))). % 0.19/0.43 tff(formula22, axiom, % 0.19/0.43 rinvF($i!val!2, $i!val!0) <=> $true). % 0.19/0.43 tff(formula23, axiom, % 0.19/0.43 rinvF($i!val!0, $i!val!1) <=> $false). % 0.19/0.43 tff(formula24, axiom, % 0.19/0.43 rinvF($i!val!1, $i!val!0) <=> $false). % 0.19/0.43 tff(formula25, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : ((~((($i!val!2 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)))) => (rinvF(X0, X1) <=> rf(X0, X1)))). % 0.19/0.43 tff(formula26, axiom, % 0.19/0.43 ![X0: $i, X1: $i] : (rf1(X0, X1) <=> ((~(X1 = $i!val!1)) & (X0 = $i!val!1)))). % 0.19/0.43 tff(formula27, axiom, % 0.19/0.43 ![X0: $i] : (cowlThing(X0) <=> $true)). % 0.19/0.43 tff(formula28, axiom, % 0.19/0.43 ![X0: $i] : (xsd_string(X0) <=> $true)). % 0.19/0.43 % SZS output end Model % 0.19/0.43 % E exiting %------------------------------------------------------------------------------