%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG093+2 : 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 : n019.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 08:25:51 AM UTC 2026 % Result : Theorem 31.90s 9.65s % Output : CNFRefutation 31.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : RNG093+2 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/5.38 % Computer : n019.cluster.edu % 0.11/5.38 % Model : x86_64 x86_64 % 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/5.38 % Memory : 8046.5625MB % 0.11/5.38 % OS : Linux 6.8.0-71-generic % 0.11/5.38 % CPULimit : 300 % 0.11/5.38 % WCLimit : 300 % 0.11/5.38 % DateTime : Sat Sep 26 06:03:40 UTC 2026 % 0.11/5.38 % CPUTime : % 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 31.90/9.65 % SZS status Theorem for theBenchmark.p % 31.90/9.65 % SZS output start CNFRefutation for theBenchmark.p % 31.90/9.65 fof(mDefIdeal, definition, ! [X0] : ((aIdeal0(X0) <=> (aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => (! [X2] : ((aElementOf0(X2,X0) => aElementOf0(sdtpldt0(X1,X2),X0))) & ! [X2] : ((aElement0(X2) => aElementOf0(sdtasdt0(X2,X1),X0)))))))))). % 31.90/9.65 fof(m__1150, hypothesis, (aSet0(xI) & (! [X0] : ((aElementOf0(X0,xI) => (! [X1] : ((aElementOf0(X1,xI) => aElementOf0(sdtpldt0(X0,X1),xI))) & ! [X1] : ((aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),xI)))))) & (aIdeal0(xI) & (aSet0(xJ) & (! [X0] : ((aElementOf0(X0,xJ) => (! [X1] : ((aElementOf0(X1,xJ) => aElementOf0(sdtpldt0(X0,X1),xJ))) & ! [X1] : ((aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),xJ)))))) & aIdeal0(xJ))))))). % 31.90/9.65 fof(m__, conjecture, ((aSet0(sdtasasdt0(xI,xJ)) & ! [X0] : ((aElementOf0(X0,sdtasasdt0(xI,xJ)) <=> (aElementOf0(X0,xI) & aElementOf0(X0,xJ))))) => (! [X0] : ((aElementOf0(X0,sdtasasdt0(xI,xJ)) => (! [X1] : ((aElementOf0(X1,sdtasasdt0(xI,xJ)) => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)))) & ! [X1] : ((aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))))))) | aIdeal0(sdtasasdt0(xI,xJ))))). % 31.90/9.65 fof(negated_conjecture, negated_conjecture, ~(((aSet0(sdtasasdt0(xI,xJ)) & ! [X0] : ((aElementOf0(X0,sdtasasdt0(xI,xJ)) <=> (aElementOf0(X0,xI) & aElementOf0(X0,xJ))))) => (! [X0] : ((aElementOf0(X0,sdtasasdt0(xI,xJ)) => (! [X1] : ((aElementOf0(X1,sdtasasdt0(xI,xJ)) => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)))) & ! [X1] : ((aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))))))) | aIdeal0(sdtasasdt0(xI,xJ))))), inference(negate_conjecture, [status(cth)], [m__])). % 31.90/9.65 cnf(c56, plain, ~aIdeal0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 31.90/9.65 cnf(c58, plain, ~X0(X1) | ~aElementOf0(X2,X1) | ~aElementOf0(X3,X1) | aElementOf0(sdtpldt0(X2,X3),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 31.90/9.65 cnf(c68, plain, ~aElementOf0(X0,xI) | ~aElement0(X1) | aElementOf0(sdtasdt0(X1,X0),xI), inference(clausification, [status(esa)], [m__1150])). % 31.90/9.65 cnf(c69, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__1150])). % 31.90/9.65 cnf(c72, plain, ~aElementOf0(X0,xJ) | ~aElement0(X1) | aElementOf0(sdtasdt0(X1,X0),xJ), inference(clausification, [status(esa)], [m__1150])). % 31.90/9.65 cnf(c73, plain, aIdeal0(xJ), inference(clausification, [status(esa)], [m__1150])). % 31.90/9.65 cnf(c75, plain, ~aElementOf0(X0,sdtasasdt0(xI,xJ)) | aElementOf0(X0,xI), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c76, plain, ~aElementOf0(X0,sdtasasdt0(xI,xJ)) | aElementOf0(X0,xJ), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c77, plain, aElementOf0(X0,sdtasasdt0(xI,xJ)) | ~aElementOf0(X0,xI) | ~aElementOf0(X0,xJ), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c78, plain, aElementOf0(sK70,sdtasasdt0(xI,xJ)), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c79, plain, aElementOf0(sK71,sdtasasdt0(xI,xJ)) | aElement0(sK72), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c80, plain, aElementOf0(sK71,sdtasasdt0(xI,xJ)) | ~aElementOf0(sdtasdt0(sK72,sK70),sdtasasdt0(xI,xJ)), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c81, plain, ~aElementOf0(sdtpldt0(sK70,sK71),sdtasasdt0(xI,xJ)) | aElement0(sK72), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(c82, plain, ~aElementOf0(sdtpldt0(sK70,sK71),sdtasasdt0(xI,xJ)) | ~aElementOf0(sdtasdt0(sK72,sK70),sdtasasdt0(xI,xJ)), inference(clausification, [status(esa)], [negated_conjecture])). % 31.90/9.65 cnf(d0, plain, ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ) | aElement0(sK72), inference(resolution, [status(thm)], [c77,c81])). % 31.90/9.65 cnf(d1, plain, aElementOf0(sK71,sdtasasdt0(xI,xJ)) | ~aElementOf0(sdtasdt0(sK72,sK70),xI) | ~aElementOf0(sdtasdt0(sK72,sK70),xJ), inference(resolution, [status(thm)], [c80,c77])). % 31.90/9.65 cnf(d2, plain, ~aElement0(sK72) | ~aElementOf0(sK70,xJ) | ~aElementOf0(sdtasdt0(sK72,sK70),xI) | aElementOf0(sK71,sdtasasdt0(xI,xJ)), inference(resolution, [status(thm)], [c72,d1])). % 31.90/9.65 cnf(d3, plain, aElementOf0(sK70,xJ), inference(resolution, [status(thm)], [c76,c78])). % 31.90/9.65 cnf(d4, plain, ~aElement0(sK72) | ~aElementOf0(sdtasdt0(sK72,sK70),xI) | aElementOf0(sK71,sdtasasdt0(xI,xJ)), inference(resolution, [status(thm)], [d3,d2])). % 31.90/9.65 cnf(d5, plain, ~aElement0(sK72) | aElementOf0(sK71,sdtasasdt0(xI,xJ)) | ~aElement0(sK72) | ~aElementOf0(sK70,xI), inference(resolution, [status(thm)], [d4,c68])). % 31.90/9.65 cnf(d6, plain, aElementOf0(sK70,xI), inference(resolution, [status(thm)], [c75,c78])). % 31.90/9.65 cnf(d7, plain, ~aElement0(sK72) | aElementOf0(sK71,sdtasasdt0(xI,xJ)), inference(resolution, [status(thm)], [d6,d5])). % 31.90/9.65 cnf(d8, plain, ~aElement0(sK72) | aElementOf0(sK71,xI), inference(resolution, [status(thm)], [d7,c75])). % 31.90/9.65 cnf(d9, plain, ~aElement0(sK72) | aElementOf0(sK71,xJ), inference(resolution, [status(thm)], [d7,c76])). % 31.90/9.65 cnf(d10, plain, ~aElementOf0(sdtpldt0(sK70,sK71),sdtasasdt0(xI,xJ)) | ~aElementOf0(sdtasdt0(sK72,sK70),xI) | ~aElementOf0(sdtasdt0(sK72,sK70),xJ), inference(resolution, [status(thm)], [c82,c77])). % 31.90/9.65 cnf(d11, plain, ~aElementOf0(sdtasdt0(sK72,sK70),xI) | ~aElementOf0(sdtasdt0(sK72,sK70),xJ) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ), inference(resolution, [status(thm)], [d10,c77])). % 31.90/9.65 cnf(d12, plain, ~aElement0(sK72) | ~aElementOf0(sK70,xJ) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ) | ~aElementOf0(sdtasdt0(sK72,sK70),xI), inference(resolution, [status(thm)], [c72,d11])). % 31.90/9.65 cnf(d13, plain, ~aElement0(sK72) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ) | ~aElementOf0(sdtasdt0(sK72,sK70),xI), inference(resolution, [status(thm)], [d3,d12])). % 31.90/9.65 cnf(d14, plain, ~aElement0(sK72) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ) | ~aElement0(sK72) | ~aElementOf0(sK70,xI), inference(resolution, [status(thm)], [d13,c68])). % 31.90/9.65 cnf(d15, plain, ~aElement0(sK72) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ), inference(resolution, [status(thm)], [d6,d14])). % 31.90/9.65 cnf(d16, plain, ~aElementOf0(sK71,xJ) | ~aElementOf0(sK70,xJ) | ~'Ts53'(xJ) | ~aElement0(sK72) | ~aElementOf0(sdtpldt0(sK70,sK71),xI), inference(resolution, [status(thm)], [c58,d15])). % 31.90/9.65 cnf(d17, plain, ~aElement0(sK72) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sK71,xJ) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [d3,d16])). % 31.90/9.65 cnf(d18, plain, 'Ts53'(xJ), inference(resolution, [status(thm)], [c56,c73])). % 31.90/9.65 cnf(d19, plain, ~aElement0(sK72) | ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sK71,xJ), inference(resolution, [status(thm)], [d18,d17])). % 31.90/9.65 cnf(d20, plain, ~aElement0(sK72) | ~aElementOf0(sK71,xJ) | ~aElementOf0(sK71,xI) | ~aElementOf0(sK70,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d19,c58])). % 31.90/9.65 cnf(d21, plain, ~aElement0(sK72) | ~aElementOf0(sK71,xI) | ~aElementOf0(sK71,xJ) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d6,d20])). % 31.90/9.65 cnf(d22, plain, 'Ts53'(xI), inference(resolution, [status(thm)], [c56,c69])). % 31.90/9.65 cnf(d23, plain, ~aElement0(sK72) | ~aElementOf0(sK71,xI) | ~aElementOf0(sK71,xJ), inference(resolution, [status(thm)], [d22,d21])). % 31.90/9.65 cnf(d24, plain, ~aElement0(sK72) | ~aElementOf0(sK71,xI) | ~aElement0(sK72), inference(resolution, [status(thm)], [d23,d9])). % 31.90/9.65 cnf(d25, plain, ~aElement0(sK72) | ~aElement0(sK72), inference(resolution, [status(thm)], [d24,d8])). % 31.90/9.65 cnf(d26, plain, ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sdtpldt0(sK70,sK71),xJ), inference(resolution, [status(thm)], [d25,d0])). % 31.90/9.65 cnf(d27, plain, ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sK71,xJ) | ~aElementOf0(sK70,xJ) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [d26,c58])). % 31.90/9.65 cnf(d28, plain, ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sK71,xJ) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [d3,d27])). % 31.90/9.65 cnf(d29, plain, ~aElementOf0(sdtpldt0(sK70,sK71),xI) | ~aElementOf0(sK71,xJ), inference(resolution, [status(thm)], [d18,d28])). % 31.90/9.65 cnf(d30, plain, aElementOf0(sK71,xJ) | aElement0(sK72), inference(resolution, [status(thm)], [c76,c79])). % 31.90/9.65 cnf(d31, plain, aElementOf0(sK71,xJ), inference(resolution, [status(thm)], [d25,d30])). % 31.90/9.65 cnf(d32, plain, ~aElementOf0(sdtpldt0(sK70,sK71),xI), inference(resolution, [status(thm)], [d31,d29])). % 31.90/9.65 cnf(d33, plain, ~aElementOf0(sK71,xI) | ~aElementOf0(sK70,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d32,c58])). % 31.90/9.65 cnf(d34, plain, ~aElementOf0(sK71,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d6,d33])). % 31.90/9.65 cnf(d35, plain, ~aElementOf0(sK71,xI), inference(resolution, [status(thm)], [d22,d34])). % 31.90/9.65 cnf(d36, plain, aElementOf0(sK71,xI) | aElement0(sK72), inference(resolution, [status(thm)], [c75,c79])). % 31.90/9.65 cnf(d37, plain, aElementOf0(sK71,xI), inference(resolution, [status(thm)], [d25,d36])). % 31.90/9.65 cnf(d38, plain, $false, inference(resolution, [status(thm)], [d37,d35])). % 31.90/9.65 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------