%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS048+1 : TPTP v9.0.0. Released v3.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 0.20s 0.48s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS048+1 : TPTP v9.0.0. Released v3.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n005.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 19:10:05 EDT 2025 % 0.11/0.33 % CPUTime : % 0.20/0.48 % SZS status Satisfiable % 0.20/0.48 % SZS output start Model % 0.20/0.48 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.48 tptp_fun__i_val_0: $i)). % 0.20/0.48 tff(i2003_11_14_17_16_32989_type, type, ( % 0.20/0.48 i2003_11_14_17_16_32989: $i)). % 0.20/0.48 tff(rf_type, type, ( % 0.20/0.48 rf: ( $i * $i ) > $o)). % 0.20/0.48 tff(ca_Cx2_type, type, ( % 0.20/0.48 ca_Cx2: $i > $o)). % 0.20/0.48 tff(ca_Cx3xcomp_type, type, ( % 0.20/0.48 ca_Cx3xcomp: $i > $o)). % 0.20/0.48 tff(k!277_type, type, ( % 0.20/0.48 k!277: $i > $i)). % 0.20/0.48 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.48 tptp_fun__i_val_2: $i)). % 0.20/0.48 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.48 tptp_fun__i_val_1: $i)). % 0.20/0.48 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.48 tptp_fun__i_val_15: $i)). % 0.20/0.48 tff(rinvR_type, type, ( % 0.20/0.48 rinvR: ( $i * $i ) > $o)). % 0.20/0.48 tff(cowlNothing_type, type, ( % 0.20/0.48 cowlNothing: $i > $o)). % 0.20/0.48 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.48 tptp_fun__i_val_14: $i)). % 0.20/0.48 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.48 tptp_fun__i_val_20: $i)). % 0.20/0.48 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.48 tptp_fun__i_val_9: $i)). % 0.20/0.48 tff(ra_Px1_type, type, ( % 0.20/0.48 ra_Px1: ( $i * $i ) > $o)). % 0.20/0.48 tff(cSatisfiable_type, type, ( % 0.20/0.48 cSatisfiable: $i > $o)). % 0.20/0.48 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.48 tptp_fun__i_val_16: $i)). % 0.20/0.48 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.48 tptp_fun__i_val_12: $i)). % 0.20/0.48 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.48 tptp_fun__i_val_3: $i)). % 0.20/0.48 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.48 tptp_fun__i_val_19: $i)). % 0.20/0.48 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.48 tptp_fun__i_val_18: $i)). % 0.20/0.48 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.48 tptp_fun__i_val_17: $i)). % 0.20/0.48 tff(ra_Px2_type, type, ( % 0.20/0.48 ra_Px2: ( $i * $i ) > $o)). % 0.20/0.48 tff(ra_Px3_type, type, ( % 0.20/0.48 ra_Px3: ( $i * $i ) > $o)). % 0.20/0.48 tff(xsd_string_type, type, ( % 0.20/0.48 xsd_string: $i > $o)). % 0.20/0.48 tff(xsd_integer_type, type, ( % 0.20/0.48 xsd_integer: $i > $o)). % 0.20/0.48 tff(ca_Cx3_type, type, ( % 0.20/0.48 ca_Cx3: $i > $o)). % 0.20/0.48 tff(ca_Ax4_type, type, ( % 0.20/0.48 ca_Ax4: $i > $o)). % 0.20/0.48 tff(rinvF_type, type, ( % 0.20/0.48 rinvF: ( $i * $i ) > $o)). % 0.20/0.48 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.48 tptp_fun__i_val_5: $i)). % 0.20/0.48 tff(cp1_type, type, ( % 0.20/0.48 cp1: $i > $o)). % 0.20/0.48 tff(ca_Vx5_type, type, ( % 0.20/0.48 ca_Vx5: $i > $o)). % 0.20/0.48 tff(ca_Cx2xcomp_type, type, ( % 0.20/0.48 ca_Cx2xcomp: $i > $o)). % 0.20/0.48 tff(cowlThing_type, type, ( % 0.20/0.48 cowlThing: $i > $o)). % 0.20/0.48 tff(rr_type, type, ( % 0.20/0.48 rr: ( $i * $i ) > $o)). % 0.20/0.48 tff(cp1xcomp_type, type, ( % 0.20/0.48 cp1xcomp: $i > $o)). % 0.20/0.48 tff(formula1, axiom, % 0.20/0.48 i2003_11_14_17_16_32989 = $i!val!0). % 0.20/0.48 tff(formula2, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (rf(X0, X1) <=> $false)). % 0.20/0.48 tff(formula3, axiom, % 0.20/0.48 ![X0: $i] : (ca_Cx2(X0) <=> $true)). % 0.20/0.48 tff(formula4, axiom, % 0.20/0.48 ![X0: $i] : (ca_Cx3xcomp(X0) <=> $true)). % 0.20/0.48 tff(formula5, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (rinvR(X0, X1) <=> (((k!277(X1) = $i!val!1) & (k!277(X0) = $i!val!0)) | ((k!277(X1) = $i!val!15) & (k!277(X0) = $i!val!0)) | ((k!277(X1) = $i!val!2) & (k!277(X0) = $i!val!1)) | ((k!277(X1) = $i!val!2) & (k!277(X0) = $i!val!0))))). % 0.20/0.48 tff(formula6, axiom, % 0.20/0.48 ![X0: $i] : (cowlNothing(X0) <=> $false)). % 0.20/0.48 tff(formula7, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (ra_Px1(X0, X1) <=> (((k!277(X1) = $i!val!9) & (X0 = $i!val!14)) | ((k!277(X1) = $i!val!9) & (X0 = $i!val!20) & (~(X0 = $i!val!14)))))). % 0.20/0.48 tff(formula8, axiom, % 0.20/0.48 ![X0: $i] : (cSatisfiable(X0) <=> (k!277(X0) = $i!val!0))). % 0.20/0.48 tff(formula9, axiom, % 0.20/0.48 k!277($i!val!16) = $i!val!16). % 0.20/0.48 tff(formula10, axiom, % 0.20/0.48 k!277($i!val!0) = $i!val!0). % 0.20/0.48 tff(formula11, axiom, % 0.20/0.48 k!277($i!val!12) = $i!val!12). % 0.20/0.48 tff(formula12, axiom, % 0.20/0.48 k!277($i!val!3) = $i!val!3). % 0.20/0.48 tff(formula13, axiom, % 0.20/0.48 k!277($i!val!15) = $i!val!15). % 0.20/0.48 tff(formula14, axiom, % 0.20/0.48 k!277($i!val!19) = $i!val!19). % 0.20/0.48 tff(formula15, axiom, % 0.20/0.48 k!277($i!val!18) = $i!val!18). % 0.20/0.48 tff(formula16, axiom, % 0.20/0.48 k!277($i!val!17) = $i!val!17). % 0.20/0.48 tff(formula17, axiom, % 0.20/0.48 k!277($i!val!2) = $i!val!2). % 0.20/0.48 tff(formula18, axiom, % 0.20/0.48 k!277($i!val!9) = $i!val!9). % 0.20/0.48 tff(formula19, axiom, % 0.20/0.48 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!0 = X0)) | (($i!val!12 = X0)) | (($i!val!3 = X0)) | (($i!val!15 = X0)) | (($i!val!19 = X0)) | (($i!val!18 = X0)) | (($i!val!17 = X0)) | (($i!val!2 = X0)) | (($i!val!9 = X0)))) => (k!277(X0) = $i!val!1))). % 0.20/0.48 tff(formula20, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (ra_Px2(X0, X1) <=> $false)). % 0.20/0.48 tff(formula21, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (ra_Px3(X0, X1) <=> $true)). % 0.20/0.48 tff(formula22, axiom, % 0.20/0.48 ![X0: $i] : (xsd_integer(X0) <=> (~xsd_string(X0)))). % 0.20/0.48 tff(formula23, axiom, % 0.20/0.48 ![X0: $i] : (ca_Cx3(X0) <=> $false)). % 0.20/0.48 tff(formula24, axiom, % 0.20/0.48 ![X0: $i] : (ca_Ax4(X0) <=> (~(k!277(X0) = $i!val!9)))). % 0.20/0.48 tff(formula25, axiom, % 0.20/0.48 rinvF($i!val!2, $i!val!5) <=> $false). % 0.20/0.48 tff(formula26, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : ((~(($i!val!2 = X0) & ($i!val!5 = X1))) => (rinvF(X0, X1) <=> rf(X0, X1)))). % 0.20/0.48 tff(formula27, axiom, % 0.20/0.48 ![X0: $i] : (cp1(X0) <=> (~(k!277(X0) = $i!val!9)))). % 0.20/0.48 tff(formula28, axiom, % 0.20/0.48 ![X0: $i] : (ca_Vx5(X0) <=> ((k!277(X0) = $i!val!0) | (k!277(X0) = $i!val!1)))). % 0.20/0.48 tff(formula29, axiom, % 0.20/0.48 ![X0: $i] : (ca_Cx2xcomp(X0) <=> $false)). % 0.20/0.48 tff(formula30, axiom, % 0.20/0.48 ![X0: $i] : (cowlThing(X0) <=> $true)). % 0.20/0.48 tff(formula31, axiom, % 0.20/0.48 ![X0: $i] : (xsd_string(X0) <=> $false)). % 0.20/0.48 tff(formula32, axiom, % 0.20/0.48 ![X0: $i, X1: $i] : (rr(X0, X1) <=> (((k!277(X1) = $i!val!0) & (k!277(X0) = $i!val!1)) | ((k!277(X1) = $i!val!0) & (k!277(X0) = $i!val!2)) | ((k!277(X1) = $i!val!1) & (k!277(X0) = $i!val!2)) | ((k!277(X1) = $i!val!0) & (k!277(X0) = $i!val!15))))). % 0.20/0.48 tff(formula33, axiom, % 0.20/0.48 ![X0: $i] : (cp1xcomp(X0) <=> (k!277(X0) = $i!val!9))). % 0.20/0.48 % SZS output end Model % 0.20/0.49 % E exiting %------------------------------------------------------------------------------