%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG105+1 : 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 : n011.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 08:25:53 AM UTC 2026 % Result : Theorem 29.59s 19.24s % Output : CNFRefutation 29.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : RNG105+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.16/15.44 % Computer : n011.cluster.edu % 0.16/15.44 % Model : x86_64 x86_64 % 0.16/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/15.44 % Memory : 8046.5625MB % 0.16/15.44 % OS : Linux 6.8.0-71-generic % 0.16/15.44 % CPULimit : 300 % 0.16/15.44 % WCLimit : 300 % 0.16/15.44 % DateTime : Sat Sep 26 06:06:59 UTC 2026 % 0.16/15.44 % CPUTime : % 0.16/15.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 29.59/19.24 % SZS status Theorem for theBenchmark.p % 29.59/19.24 % SZS output start CNFRefutation for theBenchmark.p % 29.59/19.24 fof(mSortsB, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aElement0(X1)) => aElement0(sdtpldt0(X0,X1))))). % 29.59/19.24 fof(mSortsB_02, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aElement0(X1)) => aElement0(sdtasdt0(X0,X1))))). % 29.59/19.24 fof(mDefPrIdeal, definition, ! [X0] : ((aElement0(X0) => ! [X1] : ((X1 = slsdtgt0(X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) <=> ? [X3] : ((aElement0(X3) & sdtasdt0(X0,X3) = X2)))))))))). % 29.59/19.24 fof(m__1905, hypothesis, aElement0(xc)). % 29.59/19.24 fof(m__1933, hypothesis, (aElementOf0(xx,slsdtgt0(xc)) & (aElementOf0(xy,slsdtgt0(xc)) & aElement0(xz)))). % 29.59/19.24 fof(m__1956, hypothesis, (aElement0(xu) & sdtasdt0(xc,xu) = xx)). % 29.59/19.24 fof(m__1979, hypothesis, (aElement0(xv) & sdtasdt0(xc,xv) = xy)). % 29.59/19.24 fof(m__2010, hypothesis, sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv))). % 29.59/19.24 fof(m__2043, hypothesis, sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz))). % 29.59/19.24 fof(m__, conjecture, (aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) & aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)))). % 29.59/19.24 fof(negated_conjecture, negated_conjecture, ~((aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) & aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)))), inference(negate_conjecture, [status(cth)], [m__])). % 29.59/19.24 cnf(c3, plain, ~aElement0(X0) | ~aElement0(X1) | aElement0(sdtpldt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB])). % 29.59/19.24 cnf(c4, plain, ~aElement0(X0) | ~aElement0(X1) | aElement0(sdtasdt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB_02])). % 29.59/19.24 cnf(c95, plain, ~aElement0(X0) | X1 != slsdtgt0(X0) | X2(X0,X1), inference(clausification, [status(esa)], [mDefPrIdeal])). % 29.59/19.24 cnf(c100, plain, ~X0(X1,X2) | aElementOf0(X3,X2) | ~aElement0(X4) | sdtasdt0(X1,X4) != X3, inference(clausification, [status(esa)], [mDefPrIdeal])). % 29.59/19.24 cnf(c107, plain, aElement0(xc), inference(clausification, [status(esa)], [m__1905])). % 29.59/19.24 cnf(c110, plain, aElement0(xz), inference(clausification, [status(esa)], [m__1933])). % 29.59/19.24 cnf(c111, plain, aElement0(xu), inference(clausification, [status(esa)], [m__1956])). % 29.59/19.24 cnf(c113, plain, aElement0(xv), inference(clausification, [status(esa)], [m__1979])). % 29.59/19.24 cnf(c115, plain, sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)), inference(clausification, [status(esa)], [m__2010])). % 29.59/19.24 cnf(c116, plain, sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)), inference(clausification, [status(esa)], [m__2043])). % 29.59/19.24 cnf(c117, plain, ~aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) | ~aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)), inference(clausification, [status(esa)], [negated_conjecture])). % 29.59/19.24 cnf(d0, plain, ~aElement0(X0) | 'Ts97'(X0,slsdtgt0(X0)), inference(equality_resolution, [status(thm)], [c95])). % 29.59/19.24 cnf(d1, plain, ~aElement0(X0) | aElementOf0(sdtasdt0(X1,X0),X2) | ~'Ts97'(X1,X2), inference(equality_resolution, [status(thm)], [c100])). % 29.59/19.24 cnf(d2, plain, aElementOf0(sdtasdt0(xz,xx),X0) | ~aElement0(sdtasdt0(xu,xz)) | ~'Ts97'(xc,X0), inference(superposition, [status(thm)], [c116,d1])). % 29.59/19.24 cnf(d3, plain, ~aElement0(sdtasdt0(xu,xz)) | ~'Ts97'(xc,slsdtgt0(xc)) | ~aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)), inference(resolution, [status(thm)], [d2,c117])). % 29.59/19.24 cnf(d4, plain, aElementOf0(sdtpldt0(xx,xy),X0) | ~aElement0(sdtpldt0(xu,xv)) | ~'Ts97'(xc,X0), inference(superposition, [status(thm)], [c115,d1])). % 29.59/19.24 cnf(d5, plain, ~aElement0(sdtpldt0(xu,xv)) | ~'Ts97'(xc,slsdtgt0(xc)) | ~aElement0(sdtasdt0(xu,xz)) | ~'Ts97'(xc,slsdtgt0(xc)), inference(resolution, [status(thm)], [d4,d3])). % 29.59/19.24 cnf(d6, plain, ~aElement0(sdtpldt0(xu,xv)) | ~aElement0(sdtasdt0(xu,xz)) | ~aElement0(xc), inference(resolution, [status(thm)], [d5,d0])). % 29.59/19.24 cnf(d7, plain, ~aElement0(sdtpldt0(xu,xv)) | ~aElement0(sdtasdt0(xu,xz)), inference(resolution, [status(thm)], [c107,d6])). % 29.59/19.24 cnf(d8, plain, ~aElement0(sdtpldt0(xu,xv)) | ~aElement0(xz) | ~aElement0(xu), inference(resolution, [status(thm)], [d7,c4])). % 29.59/19.24 cnf(d9, plain, ~aElement0(sdtpldt0(xu,xv)) | ~aElement0(xu), inference(resolution, [status(thm)], [c110,d8])). % 29.59/19.24 cnf(d10, plain, ~aElement0(sdtpldt0(xu,xv)), inference(resolution, [status(thm)], [c111,d9])). % 29.59/19.24 cnf(d11, plain, ~aElement0(xv) | ~aElement0(xu), inference(resolution, [status(thm)], [d10,c3])). % 29.59/19.24 cnf(d12, plain, ~aElement0(xv), inference(resolution, [status(thm)], [c111,d11])). % 29.59/19.24 cnf(d13, plain, $false, inference(resolution, [status(thm)], [c113,d12])). % 29.59/19.24 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------