%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM129+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 : n014.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 06:58:52 AM UTC 2026 % Result : Theorem 16.71s 2.58s % Output : CNFRefutation 16.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM129+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 % 0.09/0.37 % Computer : n014.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 26 23:32:48 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.71/2.58 % SZS status Theorem for theBenchmark.p % 16.71/2.58 % SZS output start CNFRefutation for theBenchmark.p % 16.71/2.58 fof(isFreeVar2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((X0 = X3 & X1 = vapp(X2,X4)) => (((visFreeVar(X3,X2) | visFreeVar(X3,X4)) => visFreeVar(X0,X1)) & (visFreeVar(X0,X1) => (visFreeVar(X3,X2) | visFreeVar(X3,X4))))))). % 16.71/2.58 fof(gensym-is-fresh, axiom, ! [X0] : ! [X1] : ((vgensym(X1) = X0 => ~visFreeVar(X0,X1)))). % 16.71/2.58 fof(fresh-free-2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((X2 = vgensym(vapp(vapp(X0,X3),vvar(X1))) => ~visFreeVar(X2,X3)))). % 16.71/2.58 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ((X2 = vgensym(vapp(vapp(X0,X3),vvar(X1))) => ~visFreeVar(X2,X3))), inference(negate_conjecture, [status(cth)], [fresh-free-2])). % 16.71/2.58 cnf(c25, plain, X0 != X1 | X2 != vapp(X3,X4) | ~visFreeVar(X1,X3) | visFreeVar(X0,X2), inference(clausification, [status(esa)], [isFreeVar2])). % 16.71/2.58 cnf(c26, plain, X0 != X1 | X2 != vapp(X3,X4) | ~visFreeVar(X1,X4) | visFreeVar(X0,X2), inference(clausification, [status(esa)], [isFreeVar2])). % 16.71/2.58 cnf(c57, plain, vgensym(X0) != X1 | ~visFreeVar(X1,X0), inference(clausification, [status(esa)], [gensym-is-fresh])). % 16.71/2.58 cnf(c158, plain, sK367 = vgensym(vapp(vapp(sK365,sK368),vvar(sK366))), inference(clausification, [status(esa)], [negated_conjecture])). % 16.71/2.58 cnf(c159, plain, visFreeVar(sK367,sK368), inference(clausification, [status(esa)], [negated_conjecture])). % 16.71/2.58 cnf(d0, plain, sK367 != X0 | ~visFreeVar(X0,vapp(vapp(sK365,sK368),vvar(sK366))), inference(superposition, [status(thm)], [c158,c57])). % 16.71/2.58 cnf(d1, plain, ~visFreeVar(sK367,vapp(vapp(sK365,sK368),vvar(sK366))), inference(equality_resolution, [status(thm)], [d0])). % 16.71/2.58 cnf(d2, plain, X0 != X1 | ~visFreeVar(X1,X2) | visFreeVar(X0,vapp(X2,X3)), inference(equality_resolution, [status(thm)], [c25])). % 16.71/2.58 cnf(d3, plain, ~visFreeVar(X0,X1) | visFreeVar(X0,vapp(X1,X2)), inference(equality_resolution, [status(thm)], [d2])). % 16.71/2.58 cnf(d4, plain, ~visFreeVar(sK367,vapp(sK365,sK368)), inference(resolution, [status(thm)], [d3,d1])). % 16.71/2.58 cnf(d5, plain, X0 != X1 | visFreeVar(X0,vapp(X2,X3)) | ~visFreeVar(X1,X3), inference(equality_resolution, [status(thm)], [c26])). % 16.71/2.58 cnf(d6, plain, ~visFreeVar(X0,X1) | visFreeVar(X0,vapp(X2,X1)), inference(equality_resolution, [status(thm)], [d5])). % 16.71/2.58 cnf(d7, plain, ~visFreeVar(sK367,sK368), inference(resolution, [status(thm)], [d6,d4])). % 16.71/2.58 cnf(d8, plain, $false, inference(resolution, [status(thm)], [c159,d7])). % 16.71/2.58 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------