%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET803+4 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n002.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 08:33:15 AM UTC 2026 % Result : Theorem 12.84s 2.03s % Output : CNFRefutation 12.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET803+4 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.36 % Computer : n002.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 % 0.10/0.36 % DateTime : Sat Sep 26 08:19:51 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 12.84/2.03 % SZS status Theorem for theBenchmark.p % 12.84/2.03 % SZS output start CNFRefutation for theBenchmark.p % 12.84/2.03 fof(greatest, axiom, ! [X0] : ! [X1] : ! [X2] : ((greatest(X2,X0,X1) <=> (member(X2,X1) & ! [X3] : ((member(X3,X1) => apply(X0,X3,X2))))))). % 12.84/2.03 fof(max, axiom, ! [X0] : ! [X1] : ! [X2] : ((max(X2,X0,X1) <=> (member(X2,X1) & ! [X3] : (((member(X3,X1) & apply(X0,X2,X3)) => X2 = X3)))))). % 12.84/2.03 fof(thIV15, conjecture, ! [X0] : ! [X1] : ((order(X0,X1) => ! [X2] : ! [X3] : (((max(X2,X0,X1) & (max(X3,X0,X1) & X2 != X3)) => ~? [X4] : greatest(X4,X0,X1)))))). % 12.84/2.03 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((order(X0,X1) => ! [X2] : ! [X3] : (((max(X2,X0,X1) & (max(X3,X0,X1) & X2 != X3)) => ~? [X4] : greatest(X4,X0,X1))))), inference(negate_conjecture, [status(cth)], [thIV15])). % 12.84/2.03 cnf(c34, plain, ~greatest(X0,X1,X2) | member(X0,X2), inference(clausification, [status(esa)], [greatest])). % 12.84/2.03 cnf(c35, plain, ~greatest(X0,X1,X2) | ~member(X3,X2) | apply(X1,X3,X0), inference(clausification, [status(esa)], [greatest])). % 12.84/2.03 cnf(c42, plain, ~max(X0,X1,X2) | X3(X2,X0,X1), inference(clausification, [status(esa)], [max])). % 12.84/2.03 cnf(c44, plain, ~X0(X1,X2,X3) | member(X2,X1), inference(clausification, [status(esa)], [max])). % 12.84/2.03 cnf(c45, plain, ~X0(X1,X2,X3) | ~member(X4,X1) | ~apply(X3,X2,X4) | X2 = X4, inference(clausification, [status(esa)], [max])). % 12.84/2.03 cnf(c73, plain, max(sK72,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 12.84/2.03 cnf(c74, plain, max(sK73,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 12.84/2.03 cnf(c75, plain, sK72 != sK73, inference(clausification, [status(esa)], [negated_conjecture])). % 12.84/2.03 cnf(c76, plain, greatest(sK74,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 12.84/2.03 cnf(d0, plain, ~member(X0,sK71) | apply(sK70,X0,sK74), inference(resolution, [status(thm)], [c35,c76])). % 12.84/2.03 cnf(d1, plain, 'Ts44'(sK71,sK72,sK70), inference(resolution, [status(thm)], [c42,c73])). % 12.84/2.03 cnf(d2, plain, sK72 = X0 | ~member(X0,sK71) | ~apply(sK70,sK72,X0), inference(resolution, [status(thm)], [c45,d1])). % 12.84/2.03 cnf(d3, plain, sK72 = sK74 | ~member(sK74,sK71) | ~member(sK72,sK71), inference(resolution, [status(thm)], [d2,d0])). % 12.84/2.03 cnf(d4, plain, member(sK74,sK71), inference(resolution, [status(thm)], [c34,c76])). % 12.84/2.03 cnf(d5, plain, sK72 = sK74 | ~member(sK72,sK71), inference(resolution, [status(thm)], [d4,d3])). % 12.84/2.03 cnf(d6, plain, member(sK72,sK71), inference(resolution, [status(thm)], [d1,c44])). % 12.84/2.03 cnf(d7, plain, sK72 = sK74, inference(resolution, [status(thm)], [d6,d5])). % 12.84/2.03 cnf(d8, plain, ~member(X0,sK71) | apply(sK70,X0,sK72), inference(demodulation, [status(thm)], [d0,d7])). % 12.84/2.03 cnf(d9, plain, 'Ts44'(sK71,sK73,sK70), inference(resolution, [status(thm)], [c42,c74])). % 12.84/2.03 cnf(d10, plain, sK73 = X0 | ~member(X0,sK71) | ~apply(sK70,sK73,X0), inference(resolution, [status(thm)], [c45,d9])). % 12.84/2.03 cnf(d11, plain, sK73 = sK72 | ~member(sK72,sK71) | ~member(sK73,sK71), inference(resolution, [status(thm)], [d10,d8])). % 12.84/2.03 cnf(d12, plain, member(sK73,sK71), inference(resolution, [status(thm)], [d9,c44])). % 12.84/2.03 cnf(d13, plain, sK73 = sK72 | ~member(sK72,sK71), inference(resolution, [status(thm)], [d12,d11])). % 12.84/2.03 cnf(d14, plain, sK73 = sK72, inference(resolution, [status(thm)], [d6,d13])). % 12.84/2.03 cnf(d15, plain, sK72 != sK72, inference(demodulation, [status(thm)], [c75,d14])). % 12.84/2.03 cnf(d16, plain, $false, inference(equality_resolution, [status(thm)], [d15])). % 12.84/2.03 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------