%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : ALG017+1 : TPTP v9.3.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n012.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 06:47:04 AM UTC 2026 % Result : Theorem 15.60s 8.35s % Output : CNFRefutation 15.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : ALG017+1 : TPTP v9.3.1. Released v2.7.0. % 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.04/5.31 % Computer : n012.cluster.edu % 0.04/5.31 % Model : x86_64 x86_64 % 0.04/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/5.31 % Memory : 8046.5625MB % 0.04/5.31 % OS : Linux 6.8.0-71-generic % 0.04/5.31 % CPULimit : 300 % 0.04/5.31 % WCLimit : 300 % 0.04/5.31 % DateTime : Sat Sep 26 20:59:08 UTC 2026 % 0.04/5.31 % CPUTime : % 0.04/5.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.60/8.35 % SZS status Theorem for theBenchmark.p % 15.60/8.35 % SZS output start CNFRefutation for theBenchmark.p % 15.60/8.35 fof(ax10, axiom, (e0 != e1 & (e0 != e2 & (e0 != e3 & (e1 != e2 & (e1 != e3 & e2 != e3)))))). % 15.60/8.35 fof(ax11, axiom, (e0 = op(e3,e3) & e1 = op(e2,e3))). % 15.60/8.35 fof(co1, conjecture, ~((((op(e0,e0) = e0 & (op(e1,e1) = e0 & (op(e2,e2) = e0 & op(e3,e3) = e0))) | ((op(e0,e0) = e1 & (op(e1,e1) = e1 & (op(e2,e2) = e1 & op(e3,e3) = e1))) | ((op(e0,e0) = e2 & (op(e1,e1) = e2 & (op(e2,e2) = e2 & op(e3,e3) = e2))) | (op(e0,e0) = e3 & (op(e1,e1) = e3 & (op(e2,e2) = e3 & op(e3,e3) = e3)))))) & ~(((op(e0,e0) = e0 & (op(e1,e1) = e0 & (op(e2,e2) = e0 & op(e3,e3) = e0))) | ((op(e0,e0) = e1 & (op(e1,e1) = e1 & (op(e2,e2) = e1 & op(e3,e3) = e1))) | ((op(e0,e0) = e2 & (op(e1,e1) = e2 & (op(e2,e2) = e2 & op(e3,e3) = e2))) | (op(e0,e0) = e3 & (op(e1,e1) = e3 & (op(e2,e2) = e3 & op(e3,e3) = e3)))))))))). % 15.60/8.35 fof(negated_conjecture, negated_conjecture, ~~((((op(e0,e0) = e0 & (op(e1,e1) = e0 & (op(e2,e2) = e0 & op(e3,e3) = e0))) | ((op(e0,e0) = e1 & (op(e1,e1) = e1 & (op(e2,e2) = e1 & op(e3,e3) = e1))) | ((op(e0,e0) = e2 & (op(e1,e1) = e2 & (op(e2,e2) = e2 & op(e3,e3) = e2))) | (op(e0,e0) = e3 & (op(e1,e1) = e3 & (op(e2,e2) = e3 & op(e3,e3) = e3)))))) & ~(((op(e0,e0) = e0 & (op(e1,e1) = e0 & (op(e2,e2) = e0 & op(e3,e3) = e0))) | ((op(e0,e0) = e1 & (op(e1,e1) = e1 & (op(e2,e2) = e1 & op(e3,e3) = e1))) | ((op(e0,e0) = e2 & (op(e1,e1) = e2 & (op(e2,e2) = e2 & op(e3,e3) = e2))) | (op(e0,e0) = e3 & (op(e1,e1) = e3 & (op(e2,e2) = e3 & op(e3,e3) = e3))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 15.60/8.35 cnf(c176, plain, e0 != e1, inference(clausification, [status(esa)], [ax10])). % 15.60/8.35 cnf(c177, plain, e0 != e2, inference(clausification, [status(esa)], [ax10])). % 15.60/8.35 cnf(c178, plain, e0 != e3, inference(clausification, [status(esa)], [ax10])). % 15.60/8.35 cnf(c182, plain, e0 = op(e3,e3), inference(clausification, [status(esa)], [ax11])). % 15.60/8.35 cnf(c187, plain, X0 | X1 | X2 | op(e3,e3) = e3, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(c188, plain, op(e0,e0) != e0 | op(e1,e1) != e0 | op(e2,e2) != e0 | op(e3,e3) != e0, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(c195, plain, ~X0 | op(e3,e3) = e2, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(c199, plain, ~X0 | op(e3,e3) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(c200, plain, ~X0 | op(e0,e0) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(c201, plain, ~X0 | op(e1,e1) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(c202, plain, ~X0 | op(e2,e2) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 15.60/8.35 cnf(d0, plain, e0 = e3 | 'Ts0' | 'Ts2' | 'Ts1', inference(demodulation, [status(thm)], [c187,c182])). % 15.60/8.35 cnf(d1, plain, 'Ts0' | 'Ts2' | 'Ts1', inference(resolution, [status(thm)], [c178,d0])). % 15.60/8.35 cnf(d2, plain, e0 = e2 | ~'Ts0', inference(demodulation, [status(thm)], [c195,c182])). % 15.60/8.35 cnf(d3, plain, ~'Ts0', inference(resolution, [status(thm)], [c177,d2])). % 15.60/8.35 cnf(d4, plain, 'Ts2' | 'Ts1', inference(resolution, [status(thm)], [d3,d1])). % 15.60/8.35 cnf(d5, plain, e0 = e1 | ~'Ts1', inference(demodulation, [status(thm)], [c199,c182])). % 15.60/8.35 cnf(d6, plain, ~'Ts1', inference(resolution, [status(thm)], [c176,d5])). % 15.60/8.35 cnf(d7, plain, 'Ts2', inference(resolution, [status(thm)], [d6,d4])). % 15.60/8.35 cnf(d8, plain, op(e1,e1) = e0, inference(resolution, [status(thm)], [d7,c201])). % 15.60/8.35 cnf(d9, plain, op(e2,e2) = e0, inference(resolution, [status(thm)], [d7,c202])). % 15.60/8.35 cnf(d10, plain, op(e0,e0) = e0, inference(resolution, [status(thm)], [d7,c200])). % 15.60/8.35 cnf(d11, plain, e0 != e0 | op(e2,e2) != e0 | op(e1,e1) != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [c188,d10])). % 15.60/8.35 cnf(d12, plain, e0 != e0 | e0 != e0 | op(e1,e1) != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [d11,d9])). % 15.60/8.35 cnf(d13, plain, e0 != e0 | e0 != e0 | e0 != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [d12,d8])). % 15.60/8.35 cnf(d14, plain, e0 != e0 | e0 != e0 | e0 != e0 | e0 != e0, inference(demodulation, [status(thm)], [d13,c182])). % 15.60/8.35 cnf(d15, plain, e0 != e0 | e0 != e0 | e0 != e0, inference(equality_resolution, [status(thm)], [d14])). % 15.60/8.35 cnf(d16, plain, $false, inference(equality_resolution, [status(thm)], [d15])). % 15.60/8.35 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------