%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS028+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 05:13:13 AM UTC 2025 % Result : Satisfiable 0.20s 0.41s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS028+1 : TPTP v9.0.0. Released v3.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 19 19:09:50 EDT 2025 % 0.12/0.34 % CPUTime : % 0.20/0.41 % SZS status Satisfiable % 0.20/0.41 % SZS output start Model % 0.20/0.41 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.41 tptp_fun__i_val_0: $i)). % 0.20/0.41 tff(i2003_11_14_17_15_19316_type, type, ( % 0.20/0.41 i2003_11_14_17_15_19316: $i)). % 0.20/0.41 tff(rrx4_type, type, ( % 0.20/0.41 rrx4: ( $i * $i ) > $o)). % 0.20/0.41 tff(rrx2_type, type, ( % 0.20/0.41 rrx2: ( $i * $i ) > $o)). % 0.20/0.41 tff(rrxa_type, type, ( % 0.20/0.41 rrxa: ( $i * $i ) > $o)). % 0.20/0.41 tff(cowlNothing_type, type, ( % 0.20/0.41 cowlNothing: $i > $o)). % 0.20/0.41 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.41 tptp_fun__i_val_5: $i)). % 0.20/0.41 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.41 tptp_fun__i_val_4: $i)). % 0.20/0.41 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.41 tptp_fun__i_val_2: $i)). % 0.20/0.41 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.41 tptp_fun__i_val_3: $i)). % 0.20/0.41 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.41 tptp_fun__i_val_1: $i)). % 0.20/0.41 tff(cc2_type, type, ( % 0.20/0.41 cc2: $i > $o)). % 0.20/0.41 tff(rrx_type, type, ( % 0.20/0.41 rrx: ( $i * $i ) > $o)). % 0.20/0.41 tff(cSatisfiable_type, type, ( % 0.20/0.41 cSatisfiable: $i > $o)). % 0.20/0.41 tff(xsd_string_type, type, ( % 0.20/0.41 xsd_string: $i > $o)). % 0.20/0.41 tff(xsd_integer_type, type, ( % 0.20/0.41 xsd_integer: $i > $o)). % 0.20/0.41 tff(rrx4a_type, type, ( % 0.20/0.41 rrx4a: ( $i * $i ) > $o)). % 0.20/0.41 tff(rrx1_type, type, ( % 0.20/0.41 rrx1: ( $i * $i ) > $o)). % 0.20/0.41 tff(rrx3_type, type, ( % 0.20/0.41 rrx3: ( $i * $i ) > $o)). % 0.20/0.41 tff(cc1_type, type, ( % 0.20/0.41 cc1: $i > $o)). % 0.20/0.41 tff(rrx2a_type, type, ( % 0.20/0.41 rrx2a: ( $i * $i ) > $o)). % 0.20/0.41 tff(rrx3a_type, type, ( % 0.20/0.41 rrx3a: ( $i * $i ) > $o)). % 0.20/0.41 tff(cowlThing_type, type, ( % 0.20/0.41 cowlThing: $i > $o)). % 0.20/0.41 tff(rrx1a_type, type, ( % 0.20/0.41 rrx1a: ( $i * $i ) > $o)). % 0.20/0.41 tff(formula1, axiom, % 0.20/0.41 i2003_11_14_17_15_19316 = $i!val!0). % 0.20/0.41 tff(formula2, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx4(X0, X1) <=> $false)). % 0.20/0.41 tff(formula3, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx2(X0, X1) <=> $true)). % 0.20/0.41 tff(formula4, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrxa(X0, X1) <=> $true)). % 0.20/0.41 tff(formula5, axiom, % 0.20/0.41 ![X0: $i] : (cowlNothing(X0) <=> $false)). % 0.20/0.41 tff(formula6, axiom, % 0.20/0.41 ![X0: $i] : (cc2(X0) <=> (~((X0 = $i!val!1) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!5)))))). % 0.20/0.41 tff(formula7, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx(X0, X1) <=> $false)). % 0.20/0.41 tff(formula8, axiom, % 0.20/0.41 ![X0: $i] : (cSatisfiable(X0) <=> (X0 = $i!val!0))). % 0.20/0.41 tff(formula9, axiom, % 0.20/0.41 ![X0: $i] : (xsd_integer(X0) <=> (~xsd_string(X0)))). % 0.20/0.41 tff(formula10, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx4a(X0, X1) <=> ((X1 = $i!val!0) & (X0 = $i!val!2) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!5))))). % 0.20/0.41 tff(formula11, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx1(X0, X1) <=> $true)). % 0.20/0.41 tff(formula12, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx3(X0, X1) <=> $false)). % 0.20/0.41 tff(formula13, axiom, % 0.20/0.41 ![X0: $i] : (cc1(X0) <=> $true)). % 0.20/0.41 tff(formula14, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx2a(X0, X1) <=> $true)). % 0.20/0.41 tff(formula15, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx3a(X0, X1) <=> (((~(X1 = $i!val!0)) & (X0 = $i!val!3) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!5))) | ((X1 = $i!val!0) & (X0 = $i!val!1) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!5)))))). % 0.20/0.41 tff(formula16, axiom, % 0.20/0.41 ![X0: $i] : (cowlThing(X0) <=> $true)). % 0.20/0.41 tff(formula17, axiom, % 0.20/0.41 ![X0: $i] : (xsd_string(X0) <=> $true)). % 0.20/0.41 tff(formula18, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (rrx1a(X0, X1) <=> $true)). % 0.20/0.41 % SZS output end Model % 0.20/0.41 % E exiting %------------------------------------------------------------------------------