%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS046+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 0.18s 0.48s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : KRS046+1 : TPTP v9.0.0. Released v3.1.0. % 0.06/0.11 % Command : run_E %s %d THM % 0.11/0.31 % Computer : n005.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Thu Jun 19 19:10:20 EDT 2025 % 0.11/0.32 % CPUTime : % 0.18/0.48 % SZS status Satisfiable % 0.18/0.48 % SZS output start Model % 0.18/0.48 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.48 tptp_fun__i_val_0: $i)). % 0.18/0.48 tff(i2003_11_14_17_16_25617_type, type, ( % 0.18/0.48 i2003_11_14_17_16_25617: $i)). % 0.18/0.48 tff(tptp_fun__i_val_5_type, type, ( % 0.18/0.48 tptp_fun__i_val_5: $i)). % 0.18/0.48 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.48 tptp_fun__i_val_1: $i)). % 0.18/0.48 tff(tptp_fun__i_val_4_type, type, ( % 0.18/0.48 tptp_fun__i_val_4: $i)). % 0.18/0.48 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.48 tptp_fun__i_val_2: $i)). % 0.18/0.48 tff(tptp_fun__i_val_6_type, type, ( % 0.18/0.48 tptp_fun__i_val_6: $i)). % 0.18/0.48 tff(tptp_fun__i_val_8_type, type, ( % 0.18/0.48 tptp_fun__i_val_8: $i)). % 0.18/0.48 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.48 tptp_fun__i_val_3: $i)). % 0.18/0.48 tff(tptp_fun__i_val_7_type, type, ( % 0.18/0.48 tptp_fun__i_val_7: $i)). % 0.18/0.48 tff(rf_type, type, ( % 0.18/0.48 rf: ( $i * $i ) > $o)). % 0.18/0.48 tff(caxcomp_type, type, ( % 0.18/0.48 caxcomp: $i > $o)). % 0.18/0.48 tff(rinvR_type, type, ( % 0.18/0.48 rinvR: ( $i * $i ) > $o)). % 0.18/0.48 tff(cowlNothing_type, type, ( % 0.18/0.48 cowlNothing: $i > $o)). % 0.18/0.48 tff(ca_Vx2_type, type, ( % 0.18/0.48 ca_Vx2: $i > $o)). % 0.18/0.48 tff(ra_Px1_type, type, ( % 0.18/0.48 ra_Px1: ( $i * $i ) > $o)). % 0.18/0.48 tff(cSatisfiable_type, type, ( % 0.18/0.48 cSatisfiable: $i > $o)). % 0.18/0.48 tff(xsd_string_type, type, ( % 0.18/0.48 xsd_string: $i > $o)). % 0.18/0.48 tff(xsd_integer_type, type, ( % 0.18/0.48 xsd_integer: $i > $o)). % 0.18/0.48 tff(ca_type, type, ( % 0.18/0.48 ca: $i > $o)). % 0.18/0.48 tff(rinvF_type, type, ( % 0.18/0.48 rinvF: ( $i * $i ) > $o)). % 0.18/0.48 tff(cowlThing_type, type, ( % 0.18/0.48 cowlThing: $i > $o)). % 0.18/0.48 tff(rr_type, type, ( % 0.18/0.48 rr: ( $i * $i ) > $o)). % 0.18/0.48 tff(formula1, axiom, % 0.18/0.48 i2003_11_14_17_16_25617 = $i!val!0). % 0.18/0.48 tff(formula2, axiom, % 0.18/0.48 ![X0: $i, X1: $i] : (rf(X0, X1) <=> (((X1 = $i!val!8) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (X0 = $i!val!3) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))) | ((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (X0 = $i!val!1) & (~(X0 = $i!val!5))) | ((X1 = $i!val!2) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))))). % 0.18/0.48 tff(formula3, axiom, % 0.18/0.48 ![X0: $i] : (caxcomp(X0) <=> ((~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))))). % 0.18/0.48 tff(formula4, axiom, % 0.18/0.48 ![X0: $i, X1: $i] : (rinvR(X0, X1) <=> $true)). % 0.18/0.48 tff(formula5, axiom, % 0.18/0.48 ![X0: $i] : (cowlNothing(X0) <=> $false)). % 0.18/0.48 tff(formula6, axiom, % 0.18/0.48 ![X0: $i] : (ca_Vx2(X0) <=> (((X0 = $i!val!1) & (~(X0 = $i!val!5))) | ((~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))) | ((X0 = $i!val!3) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))))). % 0.18/0.48 tff(formula7, axiom, % 0.18/0.48 ![X0: $i, X1: $i] : (ra_Px1(X0, X1) <=> (((~(X1 = $i!val!7)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (X0 = $i!val!4)) | ((~(X1 = $i!val!7)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!4)))))). % 0.18/0.48 tff(formula8, axiom, % 0.18/0.48 ![X0: $i] : (cSatisfiable(X0) <=> ((~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))))). % 0.18/0.48 tff(formula9, axiom, % 0.18/0.48 ![X0: $i] : (xsd_integer(X0) <=> (~xsd_string(X0)))). % 0.18/0.48 tff(formula10, axiom, % 0.18/0.48 ![X0: $i] : (ca(X0) <=> (~((~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))))). % 0.18/0.48 tff(formula11, axiom, % 0.18/0.48 ![X0: $i, X1: $i] : (rinvF(X0, X1) <=> (((~(X1 = $i!val!7)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (X0 = $i!val!2) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))) | ((X1 = $i!val!3) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!5)) & (X0 = $i!val!8) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))) | ((X1 = $i!val!1) & (~(X1 = $i!val!5)) & (X0 = $i!val!3) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))))). % 0.18/0.48 tff(formula12, axiom, % 0.18/0.48 ![X0: $i] : (cowlThing(X0) <=> $true)). % 0.18/0.48 tff(formula13, axiom, % 0.18/0.48 ![X0: $i] : (xsd_string(X0) <=> $false)). % 0.18/0.48 tff(formula14, axiom, % 0.18/0.48 ![X0: $i, X1: $i] : (rr(X0, X1) <=> $true)). % 0.18/0.48 % SZS output end Model % 0.18/0.49 % E exiting %------------------------------------------------------------------------------