%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM019+4 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n016.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 06:58:44 AM UTC 2026 % Result : Theorem 17.54s 2.69s % Output : CNFRefutation 17.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM019+4 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.36 % Computer : n016.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 23:27:46 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 17.54/2.69 % SZS status Theorem for theBenchmark.p % 17.54/2.69 % SZS output start CNFRefutation for theBenchmark.p % 17.54/2.69 fof(mTCRTrans, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((aElement0(X0) & (aRewritingSystem0(X1) & (aElement0(X2) & aElement0(X3)))) => ((sdtmndtasgtdt0(X0,X1,X2) & sdtmndtasgtdt0(X2,X1,X3)) => sdtmndtasgtdt0(X0,X1,X3))))). % 17.54/2.69 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 17.54/2.69 fof(m__656_01, hypothesis, (! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & (aReductOfIn0(X1,X0,xR) & aReductOfIn0(X2,X0,xR))))) => ? [X3] : ((aElement0(X3) & ((X1 = X3 | ((aReductOfIn0(X3,X1,xR) | ? [X4] : ((aElement0(X4) & (aReductOfIn0(X4,X1,xR) & sdtmndtplgtdt0(X4,xR,X3))))) & sdtmndtplgtdt0(X1,xR,X3))) & (sdtmndtasgtdt0(X1,xR,X3) & ((X2 = X3 | ((aReductOfIn0(X3,X2,xR) | ? [X4] : ((aElement0(X4) & (aReductOfIn0(X4,X2,xR) & sdtmndtplgtdt0(X4,xR,X3))))) & sdtmndtplgtdt0(X2,xR,X3))) & sdtmndtasgtdt0(X2,xR,X3)))))))) & (isLocallyConfluent0(xR) & (! [X0] : ! [X1] : (((aElement0(X0) & aElement0(X1)) => ((aReductOfIn0(X1,X0,xR) | (? [X2] : ((aElement0(X2) & (aReductOfIn0(X2,X0,xR) & sdtmndtplgtdt0(X2,xR,X1)))) | sdtmndtplgtdt0(X0,xR,X1))) => iLess0(X1,X0)))) & isTerminating0(xR))))). % 17.54/2.69 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 17.54/2.69 fof(m__715, hypothesis, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & ((X0 = X1 | (aReductOfIn0(X1,X0,xR) | (? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X1)))) | (sdtmndtplgtdt0(X0,xR,X1) | sdtmndtasgtdt0(X0,xR,X1))))) & (X0 = X2 | (aReductOfIn0(X2,X0,xR) | (? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X2)))) | (sdtmndtplgtdt0(X0,xR,X2) | sdtmndtasgtdt0(X0,xR,X2))))))))) => (iLess0(X0,xa) => ? [X3] : ((aElement0(X3) & ((X1 = X3 | ((aReductOfIn0(X3,X1,xR) | ? [X4] : ((aElement0(X4) & (aReductOfIn0(X4,X1,xR) & sdtmndtplgtdt0(X4,xR,X3))))) & sdtmndtplgtdt0(X1,xR,X3))) & (sdtmndtasgtdt0(X1,xR,X3) & ((X2 = X3 | ((aReductOfIn0(X3,X2,xR) | ? [X4] : ((aElement0(X4) & (aReductOfIn0(X4,X2,xR) & sdtmndtplgtdt0(X4,xR,X3))))) & sdtmndtplgtdt0(X2,xR,X3))) & sdtmndtasgtdt0(X2,xR,X3)))))))))). % 17.54/2.69 fof(m__755, hypothesis, (aElement0(xu) & (aReductOfIn0(xu,xa,xR) & ((xu = xb | ((aReductOfIn0(xb,xu,xR) | ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xu,xR) & sdtmndtplgtdt0(X0,xR,xb))))) & sdtmndtplgtdt0(xu,xR,xb))) & sdtmndtasgtdt0(xu,xR,xb))))). % 17.54/2.69 fof(m__799, hypothesis, (aElement0(xw) & ((xu = xw | ((aReductOfIn0(xw,xu,xR) | ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xu,xR) & sdtmndtplgtdt0(X0,xR,xw))))) & sdtmndtplgtdt0(xu,xR,xw))) & (sdtmndtasgtdt0(xu,xR,xw) & ((xv = xw | ((aReductOfIn0(xw,xv,xR) | ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xv,xR) & sdtmndtplgtdt0(X0,xR,xw))))) & sdtmndtplgtdt0(xv,xR,xw))) & sdtmndtasgtdt0(xv,xR,xw)))))). % 17.54/2.69 fof(m__818, hypothesis, (aElement0(xd) & ((xw = xd | ((aReductOfIn0(xd,xw,xR) | ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xw,xR) & sdtmndtplgtdt0(X0,xR,xd))))) & sdtmndtplgtdt0(xw,xR,xd))) & (sdtmndtasgtdt0(xw,xR,xd) & (~? [X0] : aReductOfIn0(X0,xd,xR) & aNormalFormOfIn0(xd,xw,xR)))))). % 17.54/2.69 fof(m__, conjecture, (xb = xd | (aReductOfIn0(xd,xb,xR) | (? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xb,xR) & sdtmndtplgtdt0(X0,xR,xd)))) | (sdtmndtplgtdt0(xb,xR,xd) | sdtmndtasgtdt0(xb,xR,xd)))))). % 17.54/2.69 fof(negated_conjecture, negated_conjecture, ~((xb = xd | (aReductOfIn0(xd,xb,xR) | (? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xb,xR) & sdtmndtplgtdt0(X0,xR,xd)))) | (sdtmndtplgtdt0(xb,xR,xd) | sdtmndtasgtdt0(xb,xR,xd)))))), inference(negate_conjecture, [status(cth)], [m__])). % 17.54/2.69 cnf(c12, plain, ~sdtmndtasgtdt0(X0,X1,X2) | sdtmndtasgtdt0(X0,X1,X3) | ~sdtmndtasgtdt0(X2,X1,X3) | ~aElement0(X3) | ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRTrans])). % 17.54/2.69 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 17.54/2.69 cnf(c50, plain, ~aElement0(X0) | ~aElement0(X1) | ~aReductOfIn0(X1,X0,xR) | iLess0(X1,X0), inference(clausification, [status(esa)], [m__656_01])). % 17.54/2.69 cnf(c65, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 17.54/2.69 cnf(c66, plain, aElement0(xb), inference(clausification, [status(esa)], [m__731])). % 17.54/2.69 cnf(c68, plain, X0(X1,X2) | ~X3(X4,X1) | ~aElement0(X1) | ~iLess0(X4,xa) | ~aElement0(X2) | ~aElement0(X4) | ~X5(X4,X2), inference(clausification, [status(esa)], [m__715])). % 17.54/2.69 cnf(c73, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [m__715])). % 17.54/2.69 cnf(c78, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [m__715])). % 17.54/2.69 cnf(c84, plain, ~X0(X1,X2) | sdtmndtasgtdt0(X1,xR,sK79(X1,X2)), inference(clausification, [status(esa)], [m__715])). % 17.54/2.69 cnf(c86, plain, ~X0(X1,X2) | X2 = sK79(X1,X2) | aReductOfIn0(sK79(X1,X2),X2,xR) | aReductOfIn0(sK81(X1,X2),X2,xR), inference(clausification, [status(esa)], [m__715])). % 17.54/2.69 cnf(c98, plain, aElement0(xu), inference(clausification, [status(esa)], [m__755])). % 17.54/2.69 cnf(c99, plain, aReductOfIn0(xu,xa,xR), inference(clausification, [status(esa)], [m__755])). % 17.54/2.69 cnf(c104, plain, sdtmndtasgtdt0(xu,xR,xb), inference(clausification, [status(esa)], [m__755])). % 17.54/2.69 cnf(c112, plain, aElement0(xw), inference(clausification, [status(esa)], [m__799])). % 17.54/2.69 cnf(c117, plain, sdtmndtasgtdt0(xu,xR,xw), inference(clausification, [status(esa)], [m__799])). % 17.54/2.69 cnf(c123, plain, aElement0(xd), inference(clausification, [status(esa)], [m__818])). % 17.54/2.69 cnf(c128, plain, sdtmndtasgtdt0(xw,xR,xd), inference(clausification, [status(esa)], [m__818])). % 17.54/2.69 cnf(c129, plain, ~aReductOfIn0(X0,xd,xR), inference(clausification, [status(esa)], [m__818])). % 17.54/2.69 cnf(c135, plain, ~sdtmndtasgtdt0(xb,xR,xd), inference(clausification, [status(esa)], [negated_conjecture])). % 17.54/2.69 cnf(d0, plain, ~aRewritingSystem0(xR) | ~aElement0(X0) | ~aElement0(xw) | ~aElement0(xu) | ~sdtmndtasgtdt0(xw,xR,X0) | sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [c117,c12])). % 17.54/2.69 cnf(d1, plain, ~aElement0(X0) | ~aElement0(xu) | ~aElement0(xw) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c47,d0])). % 17.54/2.69 cnf(d2, plain, ~aElement0(X0) | ~aElement0(xw) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c98,d1])). % 17.54/2.69 cnf(d3, plain, ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c112,d2])). % 17.54/2.69 cnf(d4, plain, ~aElement0(xd) | sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d3,c128])). % 17.54/2.69 cnf(d5, plain, sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [c123,d4])). % 17.54/2.69 cnf(d6, plain, 'Ts72'(xu,xd), inference(resolution, [status(thm)], [d5,c78])). % 17.54/2.69 cnf(d7, plain, 'Ts71'(xu,xb), inference(resolution, [status(thm)], [c73,c104])). % 17.54/2.69 cnf(d8, plain, ~aElement0(X0) | ~aElement0(xb) | ~aElement0(xu) | ~iLess0(xu,xa) | ~'Ts72'(xu,X0) | 'Ts73'(xb,X0), inference(resolution, [status(thm)], [d7,c68])). % 17.54/2.69 cnf(d9, plain, ~aElement0(X0) | ~aElement0(xu) | ~iLess0(xu,xa) | ~'Ts72'(xu,X0) | 'Ts73'(xb,X0), inference(resolution, [status(thm)], [c66,d8])). % 17.54/2.69 cnf(d10, plain, ~aElement0(X0) | ~iLess0(xu,xa) | ~'Ts72'(xu,X0) | 'Ts73'(xb,X0), inference(resolution, [status(thm)], [c98,d9])). % 17.54/2.69 cnf(d11, plain, ~aElement0(xa) | ~aElement0(xu) | iLess0(xu,xa), inference(resolution, [status(thm)], [c50,c99])). % 17.54/2.69 cnf(d12, plain, ~aElement0(xu) | iLess0(xu,xa), inference(resolution, [status(thm)], [c65,d11])). % 17.54/2.69 cnf(d13, plain, iLess0(xu,xa), inference(resolution, [status(thm)], [c98,d12])). % 17.54/2.69 cnf(d14, plain, ~aElement0(X0) | ~'Ts72'(xu,X0) | 'Ts73'(xb,X0), inference(resolution, [status(thm)], [d13,d10])). % 17.54/2.69 cnf(d15, plain, ~aElement0(xd) | 'Ts73'(xb,xd), inference(resolution, [status(thm)], [d14,d6])). % 17.54/2.69 cnf(d16, plain, 'Ts73'(xb,xd), inference(resolution, [status(thm)], [c123,d15])). % 17.54/2.69 cnf(d17, plain, xd = sK79(X0,xd) | aReductOfIn0(sK79(X0,xd),xd,xR) | ~'Ts73'(X0,xd), inference(resolution, [status(thm)], [c86,c129])). % 17.54/2.69 cnf(d18, plain, xd = sK79(X0,xd) | ~'Ts73'(X0,xd), inference(resolution, [status(thm)], [c129,d17])). % 17.54/2.69 cnf(d19, plain, xd = sK79(xb,xd), inference(resolution, [status(thm)], [d18,d16])). % 17.54/2.69 cnf(d20, plain, sdtmndtasgtdt0(xb,xR,xd) | ~'Ts73'(xb,xd), inference(superposition, [status(thm)], [d19,c84])). % 17.54/2.69 cnf(d21, plain, ~'Ts73'(xb,xd), inference(resolution, [status(thm)], [c135,d20])). % 17.54/2.69 cnf(d22, plain, $false, inference(resolution, [status(thm)], [d16,d21])). % 17.54/2.69 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------