%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Sun Sep 27 06:58:53 AM UTC 2026 % Result : Theorem 16.15s 7.90s % Output : CNFRefutation 16.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/5.37 % Computer : n017.cluster.edu % 0.09/5.37 % Model : x86_64 x86_64 % 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.37 % Memory : 8046.5625MB % 0.09/5.37 % OS : Linux 6.8.0-71-generic % 0.09/5.37 % CPULimit : 300 % 0.09/5.37 % WCLimit : 300 % 0.09/5.37 % DateTime : Sat Sep 26 23:30:10 UTC 2026 % 0.09/5.38 % CPUTime : % 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.15/7.90 % SZS status Theorem for theBenchmark.p % 16.15/7.90 % SZS output start CNFRefutation for theBenchmark.p % 16.15/7.90 fof(DIFF-var-abs, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : vvar(X0) != vabs(X1,X2,X3)). % 16.15/7.90 fof(DIFF-var-app, axiom, ! [X0] : ! [X1] : ! [X2] : vvar(X0) != vapp(X1,X2)). % 16.15/7.90 fof(isFreeVar0, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((X0 = X3 & X1 = vvar(X2)) => ((X2 = X3 => visFreeVar(X0,X1)) & (visFreeVar(X0,X1) => X2 = X3))))). % 16.15/7.90 fof(lookup2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((X2 = X5 & X3 = vbind(X1,X0,X6)) => (X5 != X1 => (X4 = vlookup(X2,X3) => X4 = vlookup(X5,X6)))))). % 16.15/7.90 fof(T-var, axiom, ! [X0] : ! [X1] : ! [X2] : ((vlookup(X1,X0) = vsomeType(X2) => vtcheck(X0,vvar(X1),X2)))). % 16.15/7.90 fof(T-inv, axiom, ! [X0] : ! [X1] : ! [X2] : ((vtcheck(X2,X0,X1) => (? [X3] : ((X0 = vvar(X3) & vlookup(X3,X2) = vsomeType(X1))) | (? [X3] : ? [X4] : ? [X5] : ? [X6] : ((X0 = vabs(X3,X5,X4) & (X1 = varrow(X5,X6) & vtcheck(vbind(X3,X5,X2),X4,X6)))) | ? [X7] : ? [X4] : ? [X8] : ((X0 = vapp(X7,X4) & (vtcheck(X2,X7,varrow(X8,X1)) & vtcheck(X2,X4,X8))))))))). % 16.15/7.90 fof(T-Strong-var, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((~visFreeVar(X0,vvar(X3)) & vtcheck(vbind(X0,X1,X2),vvar(X3),X4)) => vtcheck(X2,vvar(X3),X4)))). % 16.15/7.90 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((~visFreeVar(X0,vvar(X3)) & vtcheck(vbind(X0,X1,X2),vvar(X3),X4)) => vtcheck(X2,vvar(X3),X4))), inference(negate_conjecture, [status(cth)], [T-Strong-var])). % 16.15/7.90 cnf(c10, plain, vvar(X0) != vabs(X1,X2,X3), inference(clausification, [status(esa)], [DIFF-var-abs])). % 16.15/7.90 cnf(c11, plain, vvar(X0) != vapp(X1,X2), inference(clausification, [status(esa)], [DIFF-var-app])). % 16.15/7.90 cnf(c16, plain, X0 != X1 | X2 != vvar(X3) | X3 != X1 | visFreeVar(X0,X2), inference(clausification, [status(esa)], [isFreeVar0])). % 16.15/7.90 cnf(c17, plain, X0 != X1 | X2 != vvar(X3) | ~visFreeVar(X0,X2) | X3 = X1, inference(clausification, [status(esa)], [isFreeVar0])). % 16.15/7.90 cnf(c39, plain, X0 = vlookup(X1,X2) | X1 = X3 | X0 != vlookup(X4,X5) | X4 != X1 | X5 != vbind(X3,X6,X2), inference(clausification, [status(esa)], [lookup2])). % 16.15/7.90 cnf(c137, plain, vlookup(X0,X1) != vsomeType(X2) | vtcheck(X1,vvar(X0),X2), inference(clausification, [status(esa)], [T-var])). % 16.15/7.90 cnf(c140, plain, ~vtcheck(X0,X1,X2) | X1 = vvar(sK318(X1,X2,X0)) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 16.15/7.90 cnf(c141, plain, ~vtcheck(X0,X1,X2) | vlookup(sK318(X1,X2,X0),X0) = vsomeType(X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 16.15/7.90 cnf(c142, plain, ~X0(X1,X2,X3) | X3 = vabs(sK319(X1,X2,X3),sK321(X1,X2,X3),sK320(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 16.15/7.90 cnf(c145, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | X3 = vapp(sK323(X2,X1,X3),sK324(X2,X1,X3)), inference(clausification, [status(esa)], [T-inv])). % 16.15/7.90 cnf(c148, plain, ~visFreeVar(sK326,vvar(sK329)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.15/7.90 cnf(c149, plain, vtcheck(vbind(sK326,sK327,sK328),vvar(sK329),sK330), inference(clausification, [status(esa)], [negated_conjecture])). % 16.15/7.90 cnf(c150, plain, ~vtcheck(sK328,vvar(sK329),sK330), inference(clausification, [status(esa)], [negated_conjecture])). % 16.15/7.90 cnf(d0, plain, X0 = X1 | X2 != X0 | X3 = vlookup(X0,X4) | X3 != vlookup(X2,vbind(X1,X5,X4)), inference(equality_resolution, [status(thm)], [c39])). % 16.15/7.90 cnf(d1, plain, X0 = X1 | X2 != X1 | ~visFreeVar(X2,vvar(X0)), inference(equality_resolution, [status(thm)], [c17])). % 16.15/7.90 cnf(d2, plain, X0 = X1 | ~visFreeVar(X1,vvar(X0)), inference(equality_resolution, [status(thm)], [d1])). % 16.15/7.90 cnf(d3, plain, X0 != X1 | X2 != X1 | visFreeVar(X2,vvar(X0)), inference(equality_resolution, [status(thm)], [c16])). % 16.15/7.90 cnf(d4, plain, X0 != X1 | visFreeVar(X0,vvar(X1)), inference(equality_resolution, [status(thm)], [d3])). % 16.15/7.90 cnf(d5, plain, visFreeVar(X0,vvar(X0)), inference(equality_resolution, [status(thm)], [d4])). % 16.15/7.90 cnf(d6, plain, vvar(sK329) = vvar(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328))) | 'Ts314'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)), inference(resolution, [status(thm)], [c140,c149])). % 16.15/7.90 cnf(d7, plain, vvar(sK329) = vapp(sK323(sK330,vbind(sK326,sK327,sK328),vvar(sK329)),sK324(sK330,vbind(sK326,sK327,sK328),vvar(sK329))) | 'Ts313'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)) | vvar(sK329) = vvar(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328))), inference(resolution, [status(thm)], [c145,d6])). % 16.15/7.91 cnf(d8, plain, vvar(sK329) = vvar(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328))) | 'Ts313'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)), inference(resolution, [status(thm)], [c11,d7])). % 16.15/7.91 cnf(d9, plain, vvar(sK329) = vvar(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328))) | vvar(sK329) = vabs(sK319(vbind(sK326,sK327,sK328),sK330,vvar(sK329)),sK321(vbind(sK326,sK327,sK328),sK330,vvar(sK329)),sK320(vbind(sK326,sK327,sK328),sK330,vvar(sK329))), inference(resolution, [status(thm)], [d8,c142])). % 16.15/7.91 cnf(d10, plain, vvar(sK329) = vvar(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328))), inference(resolution, [status(thm)], [c10,d9])). % 16.15/7.91 cnf(d11, plain, visFreeVar(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328)),vvar(sK329)), inference(superposition, [status(thm)], [d10,d5])). % 16.15/7.91 cnf(d12, plain, sK329 = sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328)), inference(resolution, [status(thm)], [d11,d2])). % 16.15/7.91 cnf(d13, plain, vlookup(sK318(vvar(sK329),sK330,vbind(sK326,sK327,sK328)),vbind(sK326,sK327,sK328)) = vsomeType(sK330) | 'Ts314'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)), inference(resolution, [status(thm)], [c141,c149])). % 16.15/7.91 cnf(d14, plain, vlookup(sK329,vbind(sK326,sK327,sK328)) = vsomeType(sK330) | 'Ts314'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)), inference(demodulation, [status(thm)], [d13,d12])). % 16.15/7.91 cnf(d15, plain, vlookup(sK329,vbind(sK326,sK327,sK328)) = vsomeType(sK330) | vvar(sK329) = vapp(sK323(sK330,vbind(sK326,sK327,sK328),vvar(sK329)),sK324(sK330,vbind(sK326,sK327,sK328),vvar(sK329))) | 'Ts313'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)), inference(resolution, [status(thm)], [d14,c145])). % 16.15/7.91 cnf(d16, plain, vlookup(sK329,vbind(sK326,sK327,sK328)) = vsomeType(sK330) | 'Ts313'(vbind(sK326,sK327,sK328),sK330,vvar(sK329)), inference(resolution, [status(thm)], [c11,d15])). % 16.15/7.91 cnf(d17, plain, vlookup(sK329,vbind(sK326,sK327,sK328)) = vsomeType(sK330) | vvar(sK329) = vabs(sK319(vbind(sK326,sK327,sK328),sK330,vvar(sK329)),sK321(vbind(sK326,sK327,sK328),sK330,vvar(sK329)),sK320(vbind(sK326,sK327,sK328),sK330,vvar(sK329))), inference(resolution, [status(thm)], [d16,c142])). % 16.15/7.91 cnf(d18, plain, vlookup(sK329,vbind(sK326,sK327,sK328)) = vsomeType(sK330), inference(resolution, [status(thm)], [c10,d17])). % 16.15/7.91 cnf(d19, plain, X0 != vsomeType(sK330) | X0 = vlookup(X1,sK328) | sK329 != X1 | X1 = sK326, inference(superposition, [status(thm)], [d18,d0])). % 16.15/7.91 cnf(d20, plain, X0 = sK326 | vsomeType(sK330) = vlookup(X0,sK328) | sK329 != X0, inference(equality_resolution, [status(thm)], [d19])). % 16.15/7.91 cnf(d21, plain, sK329 = sK326 | vsomeType(sK330) = vlookup(sK329,sK328), inference(equality_resolution, [status(thm)], [d20])). % 16.15/7.91 cnf(d22, plain, vsomeType(sK330) != vsomeType(X0) | vtcheck(sK328,vvar(sK329),X0) | sK329 = sK326, inference(superposition, [status(thm)], [d21,c137])). % 16.15/7.91 cnf(d23, plain, sK329 = sK326 | vtcheck(sK328,vvar(sK329),sK330), inference(equality_resolution, [status(thm)], [d22])). % 16.15/7.91 cnf(d24, plain, sK329 = sK326, inference(resolution, [status(thm)], [c150,d23])). % 16.15/7.91 cnf(d25, plain, ~visFreeVar(sK329,vvar(sK329)), inference(demodulation, [status(thm)], [c148,d24])). % 16.15/7.91 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d5,d25])). % 16.15/7.91 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------