%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : ALG036+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 : n015.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 20.07s 2.96s % Output : CNFRefutation 20.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : ALG036+1 : TPTP v9.3.1. Released v2.7.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n015.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 21:03:58 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 20.07/2.96 % SZS status Theorem for theBenchmark.p % 20.07/2.96 % SZS output start CNFRefutation for theBenchmark.p % 20.07/2.96 fof(ax2, axiom, (op(unit,e0) = e0 & (op(e0,unit) = e0 & (op(unit,e1) = e1 & (op(e1,unit) = e1 & (op(unit,e2) = e2 & (op(e2,unit) = e2 & (op(unit,e3) = e3 & (op(e3,unit) = e3 & (unit = e0 | (unit = e1 | (unit = e2 | unit = e3)))))))))))). % 20.07/2.96 fof(ax4, axiom, unit = e0). % 20.07/2.96 fof(ax6, axiom, (e0 != e1 & (e0 != e2 & (e0 != e3 & (e1 != e2 & (e1 != e3 & e2 != e3)))))). % 20.07/2.96 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)))))))))))). % 20.07/2.96 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])). % 20.07/2.96 cnf(c17, plain, op(e0,unit) = e0, inference(clausification, [status(esa)], [ax2])). % 20.07/2.96 cnf(c57, plain, unit = e0, inference(clausification, [status(esa)], [ax4])). % 20.07/2.96 cnf(c106, plain, e0 != e1, inference(clausification, [status(esa)], [ax6])). % 20.07/2.96 cnf(c107, plain, e0 != e2, inference(clausification, [status(esa)], [ax6])). % 20.07/2.96 cnf(c108, plain, e0 != e3, inference(clausification, [status(esa)], [ax6])). % 20.07/2.96 cnf(c112, plain, op(e0,e0) != e0 | op(e1,e1) != e0 | op(e2,e2) != e0 | op(e3,e3) != e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c116, plain, X0 | X1 | X2 | op(e0,e0) = e3, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c118, plain, X0 | X1 | X2 | op(e2,e2) = e3, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c120, plain, ~X0 | op(e0,e0) = e2, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c124, plain, ~X0 | op(e0,e0) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c125, plain, ~X0 | op(e1,e1) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c129, plain, ~X0 | op(e1,e1) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c130, plain, ~X0 | op(e2,e2) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(c131, plain, ~X0 | op(e3,e3) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.07/2.96 cnf(d0, plain, op(e0,e0) = e0, inference(demodulation, [status(thm)], [c17,c57])). % 20.07/2.96 cnf(d1, plain, e0 = e3 | 'Ts0' | 'Ts2' | 'Ts1', inference(demodulation, [status(thm)], [c116,d0])). % 20.07/2.96 cnf(d2, plain, e0 = e1 | ~'Ts1', inference(demodulation, [status(thm)], [c124,d0])). % 20.07/2.96 cnf(d3, plain, ~'Ts1', inference(resolution, [status(thm)], [c106,d2])). % 20.07/2.96 cnf(d4, plain, e0 = e3 | 'Ts0' | 'Ts2', inference(resolution, [status(thm)], [d3,d1])). % 20.07/2.96 cnf(d5, plain, 'Ts0' | 'Ts2', inference(resolution, [status(thm)], [c108,d4])). % 20.07/2.96 cnf(d6, plain, e0 = e2 | ~'Ts0', inference(demodulation, [status(thm)], [c120,d0])). % 20.07/2.96 cnf(d7, plain, ~'Ts0', inference(resolution, [status(thm)], [c107,d6])). % 20.07/2.96 cnf(d8, plain, 'Ts2', inference(resolution, [status(thm)], [d7,d5])). % 20.07/2.96 cnf(d9, plain, op(e3,e3) = e0, inference(resolution, [status(thm)], [d8,c131])). % 20.07/2.96 cnf(d10, plain, op(e1,e1) = e0, inference(resolution, [status(thm)], [d8,c129])). % 20.07/2.96 cnf(d11, plain, op(e2,e2) = e0, inference(resolution, [status(thm)], [d8,c130])). % 20.07/2.96 cnf(d12, plain, op(e2,e2) = e3 | 'Ts0' | 'Ts2' | op(e1,e1) = e1, inference(resolution, [status(thm)], [c118,c125])). % 20.07/2.96 cnf(d13, plain, op(e2,e2) = e3 | op(e1,e1) = e1 | 'Ts0' | op(e3,e3) = e0, inference(resolution, [status(thm)], [d12,c131])). % 20.07/2.96 cnf(d14, plain, op(e2,e2) = e3 | op(e1,e1) = e1 | op(e3,e3) = e0 | op(e0,e0) = e2, inference(resolution, [status(thm)], [d13,c120])). % 20.07/2.96 cnf(d15, plain, e0 = e2 | op(e2,e2) = e3 | op(e1,e1) = e1 | op(e3,e3) = e0, inference(demodulation, [status(thm)], [d14,d0])). % 20.07/2.96 cnf(d16, plain, e0 = e2 | e0 = e3 | op(e1,e1) = e1 | op(e3,e3) = e0, inference(demodulation, [status(thm)], [d15,d11])). % 20.07/2.96 cnf(d17, plain, e0 = e2 | e0 = e3 | e0 = e1 | op(e3,e3) = e0, inference(demodulation, [status(thm)], [d16,d10])). % 20.07/2.96 cnf(d18, plain, e0 = e2 | e0 = e3 | e0 = e1 | e0 = e0, inference(demodulation, [status(thm)], [d17,d9])). % 20.07/2.96 cnf(d19, plain, e0 = e2 | e0 = e3 | e0 = e0, inference(resolution, [status(thm)], [c106,d18])). % 20.07/2.96 cnf(d20, plain, e0 = e2 | e0 = e0, inference(resolution, [status(thm)], [c108,d19])). % 20.07/2.96 cnf(d21, plain, e0 = e0, inference(resolution, [status(thm)], [c107,d20])). % 20.07/2.96 cnf(d22, plain, op(e2,e2) != e0 | op(e1,e1) != e0 | op(e3,e3) != e0, inference(resolution, [status(thm)], [d0,c112])). % 20.07/2.96 cnf(d23, plain, e0 != e0 | op(e1,e1) != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [d22,d11])). % 20.07/2.96 cnf(d24, plain, e0 != e0 | e0 != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [d23,d10])). % 20.07/2.96 cnf(d25, plain, e0 != e0 | e0 != e0 | e0 != e0, inference(demodulation, [status(thm)], [d24,d9])). % 20.07/2.96 cnf(d26, plain, e0 != e0 | e0 != e0, inference(resolution, [status(thm)], [d21,d25])). % 20.07/2.96 cnf(d27, plain, $false, inference(resolution, [status(thm)], [d26,d21])). % 20.07/2.96 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------