%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : ALG039+1 : TPTP v9.3.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n004.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 06:47:07 AM UTC 2026 % Result : Theorem 23.83s 3.93s % Output : CNFRefutation 23.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : ALG039+1 : TPTP v9.3.1. Released v2.7.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.17/0.44 % Computer : n004.cluster.edu % 0.17/0.44 % Model : x86_64 x86_64 % 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.44 % Memory : 8046.5625MB % 0.17/0.44 % OS : Linux 6.8.0-71-generic % 0.17/0.44 % CPULimit : 300 % 0.17/0.44 % WCLimit : 300 % 0.17/0.44 % DateTime : Sat Sep 26 21:01:21 UTC 2026 % 0.17/0.44 % CPUTime : % 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 23.83/3.93 % SZS status Theorem for theBenchmark.p % 23.83/3.93 % SZS output start CNFRefutation for theBenchmark.p % 23.83/3.93 fof(ax5, axiom, (e0 != e1 & (e0 != e2 & (e0 != e3 & (e1 != e2 & (e1 != e3 & e2 != e3)))))). % 23.83/3.93 fof(ax6, axiom, (e0 = op(e1,e1) & e2 = op(e3,e1))). % 23.83/3.93 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)))))))))). % 23.83/3.93 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])). % 23.83/3.93 cnf(c105, plain, e0 != e1, inference(clausification, [status(esa)], [ax5])). % 23.83/3.93 cnf(c106, plain, e0 != e2, inference(clausification, [status(esa)], [ax5])). % 23.83/3.93 cnf(c107, plain, e0 != e3, inference(clausification, [status(esa)], [ax5])). % 23.83/3.93 cnf(c111, plain, e0 = op(e1,e1), inference(clausification, [status(esa)], [ax6])). % 23.83/3.93 cnf(c113, plain, X0 | X1 | X2 | op(e0,e0) = e3, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c114, plain, X0 | X1 | X2 | op(e1,e1) = e3, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c117, plain, op(e0,e0) != e0 | op(e1,e1) != e0 | op(e2,e2) != e0 | op(e3,e3) != e0, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c121, plain, ~X0 | op(e0,e0) = e2, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c122, plain, ~X0 | op(e1,e1) = e2, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c126, plain, ~X0 | op(e1,e1) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c127, plain, ~X0 | op(e2,e2) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c129, plain, ~X0 | op(e0,e0) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c131, plain, ~X0 | op(e2,e2) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(c132, plain, ~X0 | op(e3,e3) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 23.83/3.93 cnf(d0, plain, e0 = e3 | 'Ts0' | 'Ts2' | 'Ts1', inference(demodulation, [status(thm)], [c114,c111])). % 23.83/3.93 cnf(d1, plain, e0 = e2 | ~'Ts0', inference(demodulation, [status(thm)], [c122,c111])). % 23.83/3.93 cnf(d2, plain, ~'Ts0', inference(resolution, [status(thm)], [c106,d1])). % 23.83/3.93 cnf(d3, plain, e0 = e3 | 'Ts2' | 'Ts1', inference(resolution, [status(thm)], [d2,d0])). % 23.83/3.93 cnf(d4, plain, 'Ts2' | 'Ts1', inference(resolution, [status(thm)], [c107,d3])). % 23.83/3.93 cnf(d5, plain, e0 = e1 | ~'Ts1', inference(demodulation, [status(thm)], [c126,c111])). % 23.83/3.93 cnf(d6, plain, ~'Ts1', inference(resolution, [status(thm)], [c105,d5])). % 23.83/3.93 cnf(d7, plain, 'Ts2', inference(resolution, [status(thm)], [d6,d4])). % 23.83/3.93 cnf(d8, plain, op(e3,e3) = e0, inference(resolution, [status(thm)], [d7,c132])). % 23.83/3.93 cnf(d9, plain, op(e2,e2) = e0, inference(resolution, [status(thm)], [d7,c131])). % 23.83/3.93 cnf(d10, plain, op(e0,e0) = e0, inference(resolution, [status(thm)], [d7,c129])). % 23.83/3.93 cnf(d11, plain, op(e0,e0) = e3 | 'Ts0' | 'Ts2' | op(e2,e2) = e1, inference(resolution, [status(thm)], [c113,c127])). % 23.83/3.93 cnf(d12, plain, op(e0,e0) = e3 | op(e2,e2) = e1 | 'Ts0' | op(e3,e3) = e0, inference(resolution, [status(thm)], [d11,c132])). % 23.83/3.93 cnf(d13, plain, op(e0,e0) = e3 | op(e2,e2) = e1 | op(e3,e3) = e0 | op(e0,e0) = e2, inference(resolution, [status(thm)], [d12,c121])). % 23.83/3.93 cnf(d14, plain, e0 = e2 | op(e0,e0) = e3 | op(e2,e2) = e1 | op(e3,e3) = e0, inference(demodulation, [status(thm)], [d13,d10])). % 23.83/3.93 cnf(d15, plain, e0 = e2 | e0 = e3 | op(e2,e2) = e1 | op(e3,e3) = e0, inference(demodulation, [status(thm)], [d14,d10])). % 23.83/3.93 cnf(d16, plain, e0 = e2 | e0 = e3 | e0 = e1 | op(e3,e3) = e0, inference(demodulation, [status(thm)], [d15,d9])). % 23.83/3.93 cnf(d17, plain, e0 = e2 | e0 = e3 | e0 = e1 | e0 = e0, inference(demodulation, [status(thm)], [d16,d8])). % 23.83/3.93 cnf(d18, plain, e0 = e3 | e0 = e1 | e0 = e0, inference(resolution, [status(thm)], [c106,d17])). % 23.83/3.93 cnf(d19, plain, e0 = e1 | e0 = e0, inference(resolution, [status(thm)], [c107,d18])). % 23.83/3.93 cnf(d20, plain, e0 = e0, inference(resolution, [status(thm)], [c105,d19])). % 23.83/3.93 cnf(d21, plain, op(e0,e0) != e0 | op(e2,e2) != e0 | e0 != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [c117,c111])). % 23.83/3.93 cnf(d22, plain, e0 != e0 | op(e2,e2) != e0 | op(e3,e3) != e0 | e0 != e0, inference(demodulation, [status(thm)], [d21,d10])). % 23.83/3.93 cnf(d23, plain, e0 != e0 | e0 != e0 | op(e3,e3) != e0 | e0 != e0, inference(demodulation, [status(thm)], [d22,d9])). % 23.83/3.93 cnf(d24, plain, e0 != e0 | e0 != e0 | e0 != e0 | e0 != e0, inference(demodulation, [status(thm)], [d23,d8])). % 23.83/3.93 cnf(d25, plain, e0 != e0 | e0 != e0 | e0 != e0, inference(resolution, [status(thm)], [d20,d24])). % 23.83/3.93 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d25,d20])). % 23.83/3.93 % SZS output end CNFRefutation for theBenchmark.p 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