%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS047+1 : TPTP v9.0.0. Released v3.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.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 0.44s 0.62s % Output : Model 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS047+1 : TPTP v9.0.0. Released v3.1.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n011.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 19:10:42 EDT 2025 % 0.11/0.33 % CPUTime : % 0.44/0.62 % SZS status Satisfiable % 0.44/0.62 % SZS output start Model % 0.44/0.62 tff(tptp_fun__i_val_0_type, type, ( % 0.44/0.62 tptp_fun__i_val_0: $i)). % 0.44/0.62 tff(i2003_11_14_17_16_29157_type, type, ( % 0.44/0.62 i2003_11_14_17_16_29157: $i)). % 0.44/0.62 tff(tptp_fun__i_val_7_type, type, ( % 0.44/0.62 tptp_fun__i_val_7: $i)). % 0.44/0.62 tff(k!458_type, type, ( % 0.44/0.62 k!458: $i > $i)). % 0.44/0.62 tff(tptp_fun__i_val_12_type, type, ( % 0.44/0.62 tptp_fun__i_val_12: $i)). % 0.44/0.62 tff(tptp_fun__i_val_2_type, type, ( % 0.44/0.62 tptp_fun__i_val_2: $i)). % 0.44/0.62 tff(tptp_fun__i_val_1_type, type, ( % 0.44/0.62 tptp_fun__i_val_1: $i)). % 0.44/0.62 tff(tptp_fun__i_val_3_type, type, ( % 0.44/0.62 tptp_fun__i_val_3: $i)). % 0.44/0.62 tff(tptp_fun__i_val_5_type, type, ( % 0.44/0.62 tptp_fun__i_val_5: $i)). % 0.44/0.62 tff(tptp_fun__i_val_13_type, type, ( % 0.44/0.62 tptp_fun__i_val_13: $i)). % 0.44/0.62 tff(rf_type, type, ( % 0.44/0.62 rf: ( $i * $i ) > $o)). % 0.44/0.62 tff(caxcomp_type, type, ( % 0.44/0.62 caxcomp: $i > $o)). % 0.44/0.62 tff(rinvR_type, type, ( % 0.44/0.62 rinvR: ( $i * $i ) > $o)). % 0.44/0.62 tff(cowlNothing_type, type, ( % 0.44/0.62 cowlNothing: $i > $o)). % 0.44/0.62 tff(ca_Vx2_type, type, ( % 0.44/0.62 ca_Vx2: $i > $o)). % 0.44/0.62 tff(tptp_fun__i_val_14_type, type, ( % 0.44/0.62 tptp_fun__i_val_14: $i)). % 0.44/0.62 tff(tptp_fun__i_val_9_type, type, ( % 0.44/0.62 tptp_fun__i_val_9: $i)). % 0.44/0.62 tff(tptp_fun__i_val_11_type, type, ( % 0.44/0.62 tptp_fun__i_val_11: $i)). % 0.44/0.62 tff(tptp_fun__i_val_6_type, type, ( % 0.44/0.62 tptp_fun__i_val_6: $i)). % 0.44/0.62 tff(tptp_fun__i_val_8_type, type, ( % 0.44/0.62 tptp_fun__i_val_8: $i)). % 0.44/0.62 tff(tptp_fun__i_val_4_type, type, ( % 0.44/0.62 tptp_fun__i_val_4: $i)). % 0.44/0.62 tff(tptp_fun__i_val_10_type, type, ( % 0.44/0.62 tptp_fun__i_val_10: $i)). % 0.44/0.62 tff(ra_Px1_type, type, ( % 0.44/0.62 ra_Px1: ( $i * $i ) > $o)). % 0.44/0.62 tff(cSatisfiable_type, type, ( % 0.44/0.62 cSatisfiable: $i > $o)). % 0.44/0.62 tff(xsd_string_type, type, ( % 0.44/0.62 xsd_string: $i > $o)). % 0.44/0.62 tff(xsd_integer_type, type, ( % 0.44/0.62 xsd_integer: $i > $o)). % 0.44/0.62 tff(ca_type, type, ( % 0.44/0.62 ca: $i > $o)). % 0.44/0.62 tff(rinvF_type, type, ( % 0.44/0.62 rinvF: ( $i * $i ) > $o)). % 0.44/0.62 tff(cowlThing_type, type, ( % 0.44/0.62 cowlThing: $i > $o)). % 0.44/0.62 tff(rr_type, type, ( % 0.44/0.62 rr: ( $i * $i ) > $o)). % 0.44/0.62 tff(formula1, axiom, % 0.44/0.62 i2003_11_14_17_16_29157 = $i!val!0). % 0.44/0.62 tff(formula2, axiom, % 0.44/0.62 ![X0: $i, X1: $i] : (rf(X0, X1) <=> (((k!458(X1) = $i!val!2) & (k!458(X0) = $i!val!0)) | ((k!458(X1) = $i!val!13) & (k!458(X0) = $i!val!5)) | ((k!458(X1) = $i!val!3) & (k!458(X0) = $i!val!1)) | ((k!458(X1) = $i!val!7) & (k!458(X0) = $i!val!2)) | ((k!458(X1) = $i!val!12) & (k!458(X0) = $i!val!7))))). % 0.44/0.62 tff(formula3, axiom, % 0.44/0.62 ![X0: $i] : (caxcomp(X0) <=> ((k!458(X0) = $i!val!0) | (k!458(X0) = $i!val!1)))). % 0.44/0.62 tff(formula4, axiom, % 0.44/0.62 ![X0: $i, X1: $i] : (rinvR(X0, X1) <=> (((k!458(X1) = $i!val!5) & (k!458(X0) = $i!val!13)) | ((k!458(X1) = $i!val!0) & (k!458(X0) = $i!val!7)) | ((k!458(X1) = $i!val!0) & (k!458(X0) = $i!val!12)) | ((k!458(X1) = $i!val!7) & (k!458(X0) = $i!val!12)) | ((k!458(X1) = $i!val!2) & (k!458(X0) = $i!val!12)) | ((k!458(X1) = $i!val!2) & (k!458(X0) = $i!val!7)) | ((k!458(X1) = $i!val!0) & (k!458(X0) = $i!val!3)) | ((k!458(X1) = $i!val!1) & (k!458(X0) = $i!val!3)) | ((k!458(X1) = $i!val!0) & (k!458(X0) = $i!val!1)) | ((k!458(X1) = $i!val!0) & (k!458(X0) = $i!val!2))))). % 0.44/0.62 tff(formula5, axiom, % 0.44/0.62 ![X0: $i] : (cowlNothing(X0) <=> $false)). % 0.44/0.62 tff(formula6, axiom, % 0.44/0.62 ![X0: $i] : (ca_Vx2(X0) <=> ((k!458(X0) = $i!val!2) | (k!458(X0) = $i!val!5) | (k!458(X0) = $i!val!0) | (k!458(X0) = $i!val!7) | (k!458(X0) = $i!val!1)))). % 0.44/0.62 tff(formula7, axiom, % 0.44/0.62 k!458($i!val!1) = $i!val!1). % 0.44/0.62 tff(formula8, axiom, % 0.44/0.62 k!458($i!val!14) = $i!val!14). % 0.44/0.62 tff(formula9, axiom, % 0.44/0.62 k!458($i!val!9) = $i!val!9). % 0.44/0.62 tff(formula10, axiom, % 0.44/0.62 k!458($i!val!13) = $i!val!13). % 0.44/0.62 tff(formula11, axiom, % 0.44/0.62 k!458($i!val!11) = $i!val!11). % 0.44/0.62 tff(formula12, axiom, % 0.44/0.62 k!458($i!val!12) = $i!val!12). % 0.44/0.62 tff(formula13, axiom, % 0.44/0.62 k!458($i!val!2) = $i!val!2). % 0.44/0.62 tff(formula14, axiom, % 0.44/0.62 k!458($i!val!6) = $i!val!6). % 0.44/0.62 tff(formula15, axiom, % 0.44/0.62 k!458($i!val!7) = $i!val!7). % 0.44/0.62 tff(formula16, axiom, % 0.44/0.62 k!458($i!val!3) = $i!val!3). % 0.44/0.62 tff(formula17, axiom, % 0.44/0.62 k!458($i!val!8) = $i!val!8). % 0.44/0.62 tff(formula18, axiom, % 0.44/0.62 k!458($i!val!5) = $i!val!5). % 0.44/0.62 tff(formula19, axiom, % 0.44/0.62 k!458($i!val!4) = $i!val!4). % 0.44/0.62 tff(formula20, axiom, % 0.44/0.62 k!458($i!val!10) = $i!val!10). % 0.44/0.62 tff(formula21, axiom, % 0.44/0.62 ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!14 = X0)) | (($i!val!9 = X0)) | (($i!val!13 = X0)) | (($i!val!11 = X0)) | (($i!val!12 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!8 = X0)) | (($i!val!5 = X0)) | (($i!val!4 = X0)) | (($i!val!10 = X0)))) => (k!458(X0) = $i!val!0))). % 0.44/0.62 tff(formula22, axiom, % 0.44/0.62 ![X0: $i, X1: $i] : (ra_Px1(X0, X1) <=> (((k!458(X1) = $i!val!1) & (X0 = $i!val!9) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((k!458(X1) = $i!val!0) & (X0 = $i!val!4) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((k!458(X1) = $i!val!1) & (X0 = $i!val!5) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!8))) | ((k!458(X1) = $i!val!0) & (X0 = $i!val!8))))). % 0.44/0.62 tff(formula23, axiom, % 0.44/0.62 ![X0: $i] : (cSatisfiable(X0) <=> (k!458(X0) = $i!val!0))). % 0.44/0.62 tff(formula24, axiom, % 0.44/0.62 ![X0: $i] : (xsd_integer(X0) <=> (~xsd_string(X0)))). % 0.44/0.62 tff(formula25, axiom, % 0.44/0.62 ![X0: $i] : (ca(X0) <=> ((~(k!458(X0) = $i!val!0)) & (~(k!458(X0) = $i!val!1))))). % 0.44/0.62 tff(formula26, axiom, % 0.44/0.62 ![X0: $i, X1: $i] : (rinvF(X0, X1) <=> (((k!458(X1) = $i!val!5) & (k!458(X0) = $i!val!13)) | ((k!458(X1) = $i!val!7) & (k!458(X0) = $i!val!12)) | ((k!458(X1) = $i!val!2) & (k!458(X0) = $i!val!7)) | ((k!458(X1) = $i!val!1) & (k!458(X0) = $i!val!3)) | ((k!458(X1) = $i!val!0) & (k!458(X0) = $i!val!2))))). % 0.44/0.62 tff(formula27, axiom, % 0.44/0.62 ![X0: $i] : (cowlThing(X0) <=> $true)). % 0.44/0.62 tff(formula28, axiom, % 0.44/0.62 ![X0: $i] : (xsd_string(X0) <=> $false)). % 0.44/0.62 tff(formula29, axiom, % 0.44/0.62 ![X0: $i, X1: $i] : (rr(X0, X1) <=> (((k!458(X1) = $i!val!2) & (k!458(X0) = $i!val!0)) | ((k!458(X1) = $i!val!13) & (k!458(X0) = $i!val!5)) | ((k!458(X1) = $i!val!7) & (k!458(X0) = $i!val!0)) | ((k!458(X1) = $i!val!3) & (k!458(X0) = $i!val!0)) | ((k!458(X1) = $i!val!12) & (k!458(X0) = $i!val!0)) | ((k!458(X1) = $i!val!12) & (k!458(X0) = $i!val!2)) | ((k!458(X1) = $i!val!1) & (k!458(X0) = $i!val!0)) | ((k!458(X1) = $i!val!3) & (k!458(X0) = $i!val!1)) | ((k!458(X1) = $i!val!7) & (k!458(X0) = $i!val!2)) | ((k!458(X1) = $i!val!12) & (k!458(X0) = $i!val!7))))). % 0.44/0.62 % SZS output end Model % 0.44/0.63 % E exiting %------------------------------------------------------------------------------