%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM840+1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:13:55 AM UTC 2026 % Result : Theorem 27.89s 4.00s % Output : CNFRefutation 27.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM840+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n017.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 04:08:04 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 27.89/4.00 % SZS status Theorem for theBenchmark.p % 27.89/4.00 % SZS output start CNFRefutation for theBenchmark.p % 27.89/4.00 fof(holds(antec(conjunct2(conjunct2(204))), 335, 0), axiom, less(vplus(vd328,vd330),vplus(vd329,vd330))). % 27.89/4.00 fof(ass(cond(goal(193), 0), 2), axiom, ! [X0] : ! [X1] : ! [X2] : ((greater(X0,X1) => greater(vplus(X0,X2),vplus(X1,X2))))). % 27.89/4.00 fof(ass(cond(189, 0), 0), axiom, ! [X0] : ! [X1] : greater(vplus(X0,X1),X0)). % 27.89/4.00 fof(ass(cond(147, 0), 0), axiom, ! [X0] : ! [X1] : ((less(X0,X1) => greater(X1,X0)))). % 27.89/4.00 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 27.89/4.00 fof(ass(cond(goal(130), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (greater(X0,X1) | less(X0,X1))))). % 27.89/4.00 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 27.89/4.00 fof(ass(cond(goal(130), 0), 3), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~greater(X0,X1)))). % 27.89/4.00 fof(def(cond(conseq(axiom(3)), 11), 1), axiom, ! [X0] : ! [X1] : ((greater(X1,X0) <=> ? [X2] : X1 = vplus(X0,X2)))). % 27.89/4.00 fof(ass(cond(61, 0), 0), axiom, ! [X0] : ! [X1] : vplus(X1,X0) = vplus(X0,X1)). % 27.89/4.00 fof(holds(conseq(conjunct2(conjunct2(204))), 336, 0), conjecture, less(vd328,vd329)). % 27.89/4.00 fof(negated_conjecture, negated_conjecture, ~less(vd328,vd329), inference(negate_conjecture, [status(cth)], [holds(conseq(conjunct2(conjunct2(204))), 336, 0)])). % 27.89/4.00 cnf(c0, plain, less(vplus(vd328,vd330),vplus(vd329,vd330)), inference(clausification, [status(esa)], [holds(antec(conjunct2(conjunct2(204))), 335, 0)])). % 27.89/4.00 cnf(c5, plain, ~greater(X0,X1) | greater(vplus(X0,X2),vplus(X1,X2)), inference(clausification, [status(esa)], [ass(cond(goal(193), 0), 2)])). % 27.89/4.00 cnf(c6, plain, greater(vplus(X0,X1),X0), inference(clausification, [status(esa)], [ass(cond(189, 0), 0)])). % 27.89/4.00 cnf(c19, plain, ~less(X0,X1) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(147, 0), 0)])). % 27.89/4.00 cnf(c20, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 27.89/4.00 cnf(c21, plain, X0 = X1 | greater(X0,X1) | less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 0)])). % 27.89/4.00 cnf(c23, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 27.89/4.00 cnf(c24, plain, X0 != X1 | ~greater(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 3)])). % 27.89/4.00 cnf(c27, plain, ~greater(X0,X1) | X0 = vplus(X1,sK46(X1,X0)), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). % 27.89/4.00 cnf(c35, plain, vplus(X0,X1) = vplus(X1,X0), inference(clausification, [status(esa)], [ass(cond(61, 0), 0)])). % 27.89/4.00 cnf(c46, plain, ~less(vd328,vd329), inference(clausification, [status(esa)], [negated_conjecture])). % 27.89/4.00 cnf(d0, plain, greater(vplus(X2,X1),vplus(X1,X0)) | ~greater(X2,X0), inference(superposition, [status(thm)], [c35,c5])). % 27.89/4.00 cnf(d1, plain, greater(vplus(vd329,vd330),vplus(vd328,vd330)), inference(resolution, [status(thm)], [c19,c0])). % 27.89/4.00 cnf(d2, plain, greater(vplus(vd330,vd329),vplus(vd328,vd330)), inference(demodulation, [status(thm)], [d1,c35])). % 27.89/4.00 cnf(d3, plain, ~less(vplus(X0,X1),X0), inference(resolution, [status(thm)], [c23,c6])). % 27.89/4.00 cnf(d4, plain, ~greater(X0,X1) | less(vplus(X1,X2),vplus(X0,X2)), inference(resolution, [status(thm)], [c5,c20])). % 27.89/4.00 cnf(d5, plain, ~greater(X0,vplus(X0,X1)), inference(resolution, [status(thm)], [d4,d3])). % 27.89/4.00 cnf(d6, plain, ~greater(X0,X1) | ~greater(X1,X0), inference(superposition, [status(thm)], [c27,d5])). % 27.89/4.00 cnf(d7, plain, ~greater(vplus(vd328,vd330),vplus(vd330,vd329)), inference(resolution, [status(thm)], [d6,d2])). % 27.89/4.00 cnf(d8, plain, ~greater(vd328,vd329), inference(resolution, [status(thm)], [d7,d0])). % 27.89/4.00 cnf(d9, plain, vd328 = vd329 | less(vd328,vd329), inference(resolution, [status(thm)], [d8,c21])). % 27.89/4.00 cnf(d10, plain, vd328 = vd329, inference(resolution, [status(thm)], [c46,d9])). % 27.89/4.00 cnf(d11, plain, greater(vplus(vd330,vd328),vplus(vd328,vd330)), inference(demodulation, [status(thm)], [d2,d10])). % 27.89/4.00 cnf(d12, plain, greater(vplus(vd328,vd330),vplus(vd328,vd330)), inference(demodulation, [status(thm)], [d11,c35])). % 27.89/4.00 cnf(d13, plain, ~greater(X0,X0), inference(equality_resolution, [status(thm)], [c24])). % 27.89/4.00 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d12])). % 27.89/4.00 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------