%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n018.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 06:58:51 AM UTC 2026 % Result : Theorem 58.68s 13.93s % Output : CNFRefutation 58.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/5.37 % Computer : n018.cluster.edu % 0.10/5.37 % Model : x86_64 x86_64 % 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/5.37 % Memory : 8046.5625MB % 0.10/5.37 % OS : Linux 6.8.0-71-generic % 0.10/5.37 % CPULimit : 300 % 0.10/5.37 % WCLimit : 300 % 0.10/5.37 % DateTime : Sat Sep 26 23:34:43 UTC 2026 % 0.10/5.37 % CPUTime : % 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 58.68/13.93 % SZS status Theorem for theBenchmark.p % 58.68/13.93 % SZS output start CNFRefutation for theBenchmark.p % 58.68/13.93 fof(DIFF-var-abs, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : vvar(X0) != vabs(X1,X2,X3)). % 58.68/13.93 fof(DIFF-var-app, axiom, ! [X0] : ! [X1] : ! [X2] : vvar(X0) != vapp(X1,X2)). % 58.68/13.93 fof(isFreeVar0, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((X0 = X3 & X1 = vvar(X2)) => ((X2 = X3 => visFreeVar(X0,X1)) & (visFreeVar(X0,X1) => X2 = X3))))). % 58.68/13.93 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)))))). % 58.68/13.93 fof(T-var, axiom, ! [X0] : ! [X1] : ! [X2] : ((vlookup(X1,X0) = vsomeType(X2) => vtcheck(X0,vvar(X1),X2)))). % 58.68/13.93 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))))))))). % 58.68/13.93 fof(T-Weak-FreeVar-var, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((~visFreeVar(X0,vvar(X3)) & vtcheck(X2,vvar(X3),X4)) => vtcheck(vbind(X0,X1,X2),vvar(X3),X4)))). % 58.68/13.93 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((~visFreeVar(X0,vvar(X3)) & vtcheck(X2,vvar(X3),X4)) => vtcheck(vbind(X0,X1,X2),vvar(X3),X4))), inference(negate_conjecture, [status(cth)], [T-Weak-FreeVar-var])). % 58.68/13.93 cnf(c11, plain, vabs(X0,X1,X2) != vvar(X3), inference(clausification, [status(esa)], [DIFF-var-abs])). % 58.68/13.93 cnf(c12, plain, vapp(X0,X1) != vvar(X2), inference(clausification, [status(esa)], [DIFF-var-app])). % 58.68/13.93 cnf(c17, plain, vvar(X0) != X1 | X2 != X3 | X2 != X0 | visFreeVar(X3,X1), inference(clausification, [status(esa)], [isFreeVar0])). % 58.68/13.93 cnf(c18, plain, vvar(X0) != X1 | X2 != X3 | ~visFreeVar(X3,X1) | X2 = X0, inference(clausification, [status(esa)], [isFreeVar0])). % 58.68/13.93 cnf(c38, plain, vlookup(X0,X1) = X2 | X3 = X0 | vbind(X3,X4,X1) != X5 | vlookup(X6,X5) != X2 | X0 != X6, inference(clausification, [status(esa)], [lookup2])). % 58.68/13.93 cnf(c135, plain, vsomeType(X0) != vlookup(X1,X2) | vtcheck(X2,vvar(X1),X0), inference(clausification, [status(esa)], [T-var])). % 58.68/13.93 cnf(c138, plain, X0(X1,X2,X3) | vvar(sK323(X3,X2,X1)) = X3, inference(clausification, [status(esa)], [T-inv])). % 58.68/13.93 cnf(c139, plain, X0(X1,X2,X3) | vsomeType(X2) = vlookup(sK323(X3,X2,X1),X1), inference(clausification, [status(esa)], [T-inv])). % 58.68/13.93 cnf(c140, plain, ~X0(X1,X2,X3) | ~vtcheck(X1,X3,X2) | vabs(sK324(X1,X2,X3),sK326(X1,X2,X3),sK325(X1,X2,X3)) = X3, inference(clausification, [status(esa)], [T-inv])). % 58.68/13.93 cnf(c143, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | vapp(sK328(X2,X3,X1),sK329(X2,X3,X1)) = X3, inference(clausification, [status(esa)], [T-inv])). % 58.68/13.93 cnf(c146, plain, vtcheck(sK333,vvar(sK334),sK335), inference(clausification, [status(esa)], [negated_conjecture])). % 58.68/13.93 cnf(c147, plain, ~visFreeVar(sK331,vvar(sK334)), inference(clausification, [status(esa)], [negated_conjecture])). % 58.68/13.93 cnf(c148, plain, ~vtcheck(vbind(sK331,sK332,sK333),vvar(sK334),sK335), inference(clausification, [status(esa)], [negated_conjecture])). % 58.68/13.93 cnf(d0, plain, X0 != X1 | X2 = X0 | vlookup(X0,X3) = X4 | vlookup(X1,vbind(X2,X5,X3)) != X4, inference(equality_resolution, [status(thm)], [c38])). % 58.68/13.93 cnf(d1, plain, X0 = X1 | X1 != X2 | vlookup(X1,X3) = vlookup(X2,vbind(X0,X4,X3)), inference(equality_resolution, [status(thm)], [d0])). % 58.68/13.93 cnf(d2, plain, X0 = X1 | vlookup(X1,X2) = vlookup(X1,vbind(X0,X3,X2)), inference(equality_resolution, [status(thm)], [d1])). % 58.68/13.93 cnf(d3, plain, vsomeType(X4) != vlookup(X0,X3) | vtcheck(vbind(X1,X2,X3),vvar(X0),X4) | X1 = X0, inference(superposition, [status(thm)], [d2,c135])). % 58.68/13.93 cnf(d4, plain, X0 = X1 | X0 != X2 | ~visFreeVar(X2,vvar(X1)), inference(equality_resolution, [status(thm)], [c18])). % 58.68/13.93 cnf(d5, plain, X0 = X1 | ~visFreeVar(X0,vvar(X1)), inference(equality_resolution, [status(thm)], [d4])). % 58.68/13.93 cnf(d6, plain, X0 != X1 | X0 != X2 | visFreeVar(X2,vvar(X1)), inference(equality_resolution, [status(thm)], [c17])). % 58.68/13.93 cnf(d7, plain, X0 != X1 | visFreeVar(X1,vvar(X0)), inference(equality_resolution, [status(thm)], [d6])). % 58.68/13.93 cnf(d8, plain, visFreeVar(X0,vvar(X0)), inference(equality_resolution, [status(thm)], [d7])). % 58.68/13.93 cnf(d9, plain, vapp(sK328(X0,X1,X2),sK329(X0,X1,X2)) = X1 | 'Ts318'(X2,X0,X1) | vvar(sK323(X1,X0,X2)) = X1, inference(resolution, [status(thm)], [c143,c138])). % 58.68/13.93 cnf(d10, plain, vvar(sK323(X0,X1,X2)) = X0 | vapp(sK328(X1,X0,X2),sK329(X1,X0,X2)) = X0 | vabs(sK324(X2,X1,X0),sK326(X2,X1,X0),sK325(X2,X1,X0)) = X0 | ~vtcheck(X2,X0,X1), inference(resolution, [status(thm)], [d9,c140])). % 58.68/13.93 cnf(d11, plain, vvar(sK323(vvar(sK334),sK335,sK333)) = vvar(sK334) | vabs(sK324(sK333,sK335,vvar(sK334)),sK326(sK333,sK335,vvar(sK334)),sK325(sK333,sK335,vvar(sK334))) = vvar(sK334) | vapp(sK328(sK335,vvar(sK334),sK333),sK329(sK335,vvar(sK334),sK333)) = vvar(sK334), inference(resolution, [status(thm)], [d10,c146])). % 58.68/13.93 cnf(d12, plain, vvar(sK323(vvar(sK334),sK335,sK333)) = vvar(sK334) | vabs(sK324(sK333,sK335,vvar(sK334)),sK326(sK333,sK335,vvar(sK334)),sK325(sK333,sK335,vvar(sK334))) = vvar(sK334), inference(resolution, [status(thm)], [c12,d11])). % 58.68/13.93 cnf(d13, plain, vvar(sK323(vvar(sK334),sK335,sK333)) = vvar(sK334), inference(resolution, [status(thm)], [c11,d12])). % 58.68/13.93 cnf(d14, plain, visFreeVar(sK323(vvar(sK334),sK335,sK333),vvar(sK334)), inference(superposition, [status(thm)], [d13,d8])). % 58.68/13.93 cnf(d15, plain, sK323(vvar(sK334),sK335,sK333) = sK334, inference(resolution, [status(thm)], [d14,d5])). % 58.68/13.93 cnf(d16, plain, vapp(sK328(X0,X1,X2),sK329(X0,X1,X2)) = X1 | 'Ts318'(X2,X0,X1) | vsomeType(X0) = vlookup(sK323(X1,X0,X2),X2), inference(resolution, [status(thm)], [c143,c139])). % 58.68/13.93 cnf(d17, plain, vapp(sK328(X0,X1,X2),sK329(X0,X1,X2)) = X1 | vsomeType(X0) = vlookup(sK323(X1,X0,X2),X2) | vabs(sK324(X2,X0,X1),sK326(X2,X0,X1),sK325(X2,X0,X1)) = X1 | ~vtcheck(X2,X1,X0), inference(resolution, [status(thm)], [d16,c140])). % 58.68/13.93 cnf(d18, plain, vabs(sK324(sK333,sK335,vvar(sK334)),sK326(sK333,sK335,vvar(sK334)),sK325(sK333,sK335,vvar(sK334))) = vvar(sK334) | vapp(sK328(sK335,vvar(sK334),sK333),sK329(sK335,vvar(sK334),sK333)) = vvar(sK334) | vsomeType(sK335) = vlookup(sK323(vvar(sK334),sK335,sK333),sK333), inference(resolution, [status(thm)], [d17,c146])). % 58.68/13.93 cnf(d19, plain, vabs(sK324(sK333,sK335,vvar(sK334)),sK326(sK333,sK335,vvar(sK334)),sK325(sK333,sK335,vvar(sK334))) = vvar(sK334) | vapp(sK328(sK335,vvar(sK334),sK333),sK329(sK335,vvar(sK334),sK333)) = vvar(sK334) | vsomeType(sK335) = vlookup(sK334,sK333), inference(demodulation, [status(thm)], [d18,d15])). % 58.68/13.93 cnf(d20, plain, vabs(sK324(sK333,sK335,vvar(sK334)),sK326(sK333,sK335,vvar(sK334)),sK325(sK333,sK335,vvar(sK334))) = vvar(sK334) | vsomeType(sK335) = vlookup(sK334,sK333), inference(resolution, [status(thm)], [c12,d19])). % 58.68/13.93 cnf(d21, plain, vsomeType(sK335) = vlookup(sK334,sK333), inference(resolution, [status(thm)], [c11,d20])). % 58.68/13.93 cnf(d22, plain, vsomeType(X0) != vsomeType(sK335) | X1 = sK334 | vtcheck(vbind(X1,X2,sK333),vvar(sK334),X0), inference(superposition, [status(thm)], [d21,d3])). % 58.68/13.93 cnf(d23, plain, X0 = sK334 | vtcheck(vbind(X0,X1,sK333),vvar(sK334),sK335), inference(equality_resolution, [status(thm)], [d22])). % 58.68/13.93 cnf(d24, plain, sK331 = sK334, inference(resolution, [status(thm)], [d23,c148])). % 58.68/13.93 cnf(d25, plain, ~visFreeVar(sK334,vvar(sK334)), inference(demodulation, [status(thm)], [c147,d24])). % 58.68/13.93 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d8,d25])). % 58.68/13.93 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------