%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : ALG014+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 06:47:03 AM UTC 2026 % Result : Theorem 20.26s 3.80s % Output : CNFRefutation 20.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : ALG014+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 % 0.09/0.36 % Computer : n015.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 21:01:59 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 20.26/3.80 % SZS status Theorem for theBenchmark.p % 20.26/3.80 % SZS output start CNFRefutation for theBenchmark.p % 20.26/3.80 fof(ax2, axiom, (op(op(e0,e0),e0) = op(e0,op(e0,e0)) & (op(op(e0,e0),e1) = op(e0,op(e0,e1)) & (op(op(e0,e0),e2) = op(e0,op(e0,e2)) & (op(op(e0,e0),e3) = op(e0,op(e0,e3)) & (op(op(e0,e1),e0) = op(e0,op(e1,e0)) & (op(op(e0,e1),e1) = op(e0,op(e1,e1)) & (op(op(e0,e1),e2) = op(e0,op(e1,e2)) & (op(op(e0,e1),e3) = op(e0,op(e1,e3)) & (op(op(e0,e2),e0) = op(e0,op(e2,e0)) & (op(op(e0,e2),e1) = op(e0,op(e2,e1)) & (op(op(e0,e2),e2) = op(e0,op(e2,e2)) & (op(op(e0,e2),e3) = op(e0,op(e2,e3)) & (op(op(e0,e3),e0) = op(e0,op(e3,e0)) & (op(op(e0,e3),e1) = op(e0,op(e3,e1)) & (op(op(e0,e3),e2) = op(e0,op(e3,e2)) & (op(op(e0,e3),e3) = op(e0,op(e3,e3)) & (op(op(e1,e0),e0) = op(e1,op(e0,e0)) & (op(op(e1,e0),e1) = op(e1,op(e0,e1)) & (op(op(e1,e0),e2) = op(e1,op(e0,e2)) & (op(op(e1,e0),e3) = op(e1,op(e0,e3)) & (op(op(e1,e1),e0) = op(e1,op(e1,e0)) & (op(op(e1,e1),e1) = op(e1,op(e1,e1)) & (op(op(e1,e1),e2) = op(e1,op(e1,e2)) & (op(op(e1,e1),e3) = op(e1,op(e1,e3)) & (op(op(e1,e2),e0) = op(e1,op(e2,e0)) & (op(op(e1,e2),e1) = op(e1,op(e2,e1)) & (op(op(e1,e2),e2) = op(e1,op(e2,e2)) & (op(op(e1,e2),e3) = op(e1,op(e2,e3)) & (op(op(e1,e3),e0) = op(e1,op(e3,e0)) & (op(op(e1,e3),e1) = op(e1,op(e3,e1)) & (op(op(e1,e3),e2) = op(e1,op(e3,e2)) & (op(op(e1,e3),e3) = op(e1,op(e3,e3)) & (op(op(e2,e0),e0) = op(e2,op(e0,e0)) & (op(op(e2,e0),e1) = op(e2,op(e0,e1)) & (op(op(e2,e0),e2) = op(e2,op(e0,e2)) & (op(op(e2,e0),e3) = op(e2,op(e0,e3)) & (op(op(e2,e1),e0) = op(e2,op(e1,e0)) & (op(op(e2,e1),e1) = op(e2,op(e1,e1)) & (op(op(e2,e1),e2) = op(e2,op(e1,e2)) & (op(op(e2,e1),e3) = op(e2,op(e1,e3)) & (op(op(e2,e2),e0) = op(e2,op(e2,e0)) & (op(op(e2,e2),e1) = op(e2,op(e2,e1)) & (op(op(e2,e2),e2) = op(e2,op(e2,e2)) & (op(op(e2,e2),e3) = op(e2,op(e2,e3)) & (op(op(e2,e3),e0) = op(e2,op(e3,e0)) & (op(op(e2,e3),e1) = op(e2,op(e3,e1)) & (op(op(e2,e3),e2) = op(e2,op(e3,e2)) & (op(op(e2,e3),e3) = op(e2,op(e3,e3)) & (op(op(e3,e0),e0) = op(e3,op(e0,e0)) & (op(op(e3,e0),e1) = op(e3,op(e0,e1)) & (op(op(e3,e0),e2) = op(e3,op(e0,e2)) & (op(op(e3,e0),e3) = op(e3,op(e0,e3)) & (op(op(e3,e1),e0) = op(e3,op(e1,e0)) & (op(op(e3,e1),e1) = op(e3,op(e1,e1)) & (op(op(e3,e1),e2) = op(e3,op(e1,e2)) & (op(op(e3,e1),e3) = op(e3,op(e1,e3)) & (op(op(e3,e2),e0) = op(e3,op(e2,e0)) & (op(op(e3,e2),e1) = op(e3,op(e2,e1)) & (op(op(e3,e2),e2) = op(e3,op(e2,e2)) & (op(op(e3,e2),e3) = op(e3,op(e2,e3)) & (op(op(e3,e3),e0) = op(e3,op(e3,e0)) & (op(op(e3,e3),e1) = op(e3,op(e3,e1)) & (op(op(e3,e3),e2) = op(e3,op(e3,e2)) & op(op(e3,e3),e3) = op(e3,op(e3,e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 20.26/3.80 fof(ax3, 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)))))))))))). % 20.26/3.80 fof(ax4, axiom, (op(e0,inv(e0)) = unit & (op(inv(e0),e0) = unit & (op(e1,inv(e1)) = unit & (op(inv(e1),e1) = unit & (op(e2,inv(e2)) = unit & (op(inv(e2),e2) = unit & (op(e3,inv(e3)) = unit & (op(inv(e3),e3) = unit & ((inv(e0) = e0 | (inv(e0) = e1 | (inv(e0) = e2 | inv(e0) = e3))) & ((inv(e1) = e0 | (inv(e1) = e1 | (inv(e1) = e2 | inv(e1) = e3))) & ((inv(e2) = e0 | (inv(e2) = e1 | (inv(e2) = e2 | inv(e2) = e3))) & (inv(e3) = e0 | (inv(e3) = e1 | (inv(e3) = e2 | inv(e3) = e3))))))))))))))). % 20.26/3.80 fof(ax5, axiom, unit = e0). % 20.26/3.80 fof(ax6, axiom, inv(unit) = unit). % 20.26/3.80 fof(ax10, axiom, (op(e0,e0) != op(e1,e0) & (op(e0,e0) != op(e2,e0) & (op(e0,e0) != op(e3,e0) & (op(e1,e0) != op(e2,e0) & (op(e1,e0) != op(e3,e0) & (op(e2,e0) != op(e3,e0) & (op(e0,e1) != op(e1,e1) & (op(e0,e1) != op(e2,e1) & (op(e0,e1) != op(e3,e1) & (op(e1,e1) != op(e2,e1) & (op(e1,e1) != op(e3,e1) & (op(e2,e1) != op(e3,e1) & (op(e0,e2) != op(e1,e2) & (op(e0,e2) != op(e2,e2) & (op(e0,e2) != op(e3,e2) & (op(e1,e2) != op(e2,e2) & (op(e1,e2) != op(e3,e2) & (op(e2,e2) != op(e3,e2) & (op(e0,e3) != op(e1,e3) & (op(e0,e3) != op(e2,e3) & (op(e0,e3) != op(e3,e3) & (op(e1,e3) != op(e2,e3) & (op(e1,e3) != op(e3,e3) & (op(e2,e3) != op(e3,e3) & (op(e0,e0) != op(e0,e1) & (op(e0,e0) != op(e0,e2) & (op(e0,e0) != op(e0,e3) & (op(e0,e1) != op(e0,e2) & (op(e0,e1) != op(e0,e3) & (op(e0,e2) != op(e0,e3) & (op(e1,e0) != op(e1,e1) & (op(e1,e0) != op(e1,e2) & (op(e1,e0) != op(e1,e3) & (op(e1,e1) != op(e1,e2) & (op(e1,e1) != op(e1,e3) & (op(e1,e2) != op(e1,e3) & (op(e2,e0) != op(e2,e1) & (op(e2,e0) != op(e2,e2) & (op(e2,e0) != op(e2,e3) & (op(e2,e1) != op(e2,e2) & (op(e2,e1) != op(e2,e3) & (op(e2,e2) != op(e2,e3) & (op(e3,e0) != op(e3,e1) & (op(e3,e0) != op(e3,e2) & (op(e3,e0) != op(e3,e3) & (op(e3,e1) != op(e3,e2) & (op(e3,e1) != op(e3,e3) & op(e3,e2) != op(e3,e3))))))))))))))))))))))))))))))))))))))))))))))))). % 20.26/3.80 fof(ax11, axiom, (e0 != e1 & (e0 != e2 & (e0 != e3 & (e1 != e2 & (e1 != e3 & e2 != e3)))))). % 20.26/3.80 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)))))))))))). % 20.26/3.80 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])). % 20.26/3.80 cnf(c76, plain, op(op(e3,e3),e0) = op(e3,op(e3,e0)), inference(clausification, [status(esa)], [ax2])). % 20.26/3.80 cnf(c82, plain, op(unit,e1) = e1, inference(clausification, [status(esa)], [ax3])). % 20.26/3.80 cnf(c83, plain, op(e1,unit) = e1, inference(clausification, [status(esa)], [ax3])). % 20.26/3.80 cnf(c87, plain, op(e3,unit) = e3, inference(clausification, [status(esa)], [ax3])). % 20.26/3.80 cnf(c89, plain, op(e0,inv(e0)) = unit, inference(clausification, [status(esa)], [ax4])). % 20.26/3.80 cnf(c101, plain, unit = e0, inference(clausification, [status(esa)], [ax5])). % 20.26/3.80 cnf(c102, plain, inv(unit) = unit, inference(clausification, [status(esa)], [ax6])). % 20.26/3.80 cnf(c135, plain, op(e0,e1) != op(e1,e1), inference(clausification, [status(esa)], [ax10])). % 20.26/3.80 cnf(c177, plain, e0 != e1, inference(clausification, [status(esa)], [ax11])). % 20.26/3.80 cnf(c178, plain, e0 != e2, inference(clausification, [status(esa)], [ax11])). % 20.26/3.80 cnf(c179, plain, e0 != e3, inference(clausification, [status(esa)], [ax11])). % 20.26/3.80 cnf(c183, plain, op(e0,e0) != e0 | op(e1,e1) != e0 | op(e2,e2) != e0 | op(e3,e3) != e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c187, plain, X0 | X1 | X2 | op(e0,e0) = e3, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c191, plain, ~X0 | op(e0,e0) = e2, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c195, plain, ~X0 | op(e0,e0) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c198, plain, ~X0 | op(e3,e3) = e1, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c199, plain, ~X0 | op(e0,e0) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c200, plain, ~X0 | op(e1,e1) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c201, plain, ~X0 | op(e2,e2) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(c202, plain, ~X0 | op(e3,e3) = e0, inference(clausification, [status(esa)], [negated_conjecture])). % 20.26/3.80 cnf(d0, plain, inv(e0) = unit, inference(demodulation, [status(thm)], [c102,c101])). % 20.26/3.80 cnf(d1, plain, inv(e0) = e0, inference(demodulation, [status(thm)], [d0,c101])). % 20.26/3.80 cnf(d2, plain, op(e0,inv(e0)) = e0, inference(demodulation, [status(thm)], [c89,c101])). % 20.26/3.80 cnf(d3, plain, op(e0,e0) = e0, inference(demodulation, [status(thm)], [d2,d1])). % 20.26/3.80 cnf(d4, plain, e0 = e3 | 'Ts0' | 'Ts2' | 'Ts1', inference(demodulation, [status(thm)], [c187,d3])). % 20.26/3.80 cnf(d5, plain, e0 = e1 | ~'Ts1', inference(demodulation, [status(thm)], [c195,d3])). % 20.26/3.80 cnf(d6, plain, ~'Ts1', inference(resolution, [status(thm)], [c177,d5])). % 20.26/3.80 cnf(d7, plain, e0 = e3 | 'Ts0' | 'Ts2', inference(resolution, [status(thm)], [d6,d4])). % 20.26/3.80 cnf(d8, plain, 'Ts0' | 'Ts2', inference(resolution, [status(thm)], [c179,d7])). % 20.26/3.80 cnf(d9, plain, e0 = e2 | ~'Ts0', inference(demodulation, [status(thm)], [c191,d3])). % 20.26/3.80 cnf(d10, plain, ~'Ts0', inference(resolution, [status(thm)], [c178,d9])). % 20.26/3.80 cnf(d11, plain, 'Ts2', inference(resolution, [status(thm)], [d10,d8])). % 20.26/3.80 cnf(d12, plain, op(e3,e3) = e0, inference(resolution, [status(thm)], [d11,c202])). % 20.26/3.80 cnf(d13, plain, op(e3,e0) = e3, inference(demodulation, [status(thm)], [c87,c101])). % 20.26/3.80 cnf(d14, plain, op(e1,e0) = e1, inference(demodulation, [status(thm)], [c83,c101])). % 20.26/3.80 cnf(d15, plain, op(e0,e0) = e3 | 'Ts0' | 'Ts2' | op(e3,e3) = e1, inference(resolution, [status(thm)], [c187,c198])). % 20.26/3.80 cnf(d16, plain, op(e0,e0) = e3 | op(e3,e3) = e1 | 'Ts0' | op(e0,e0) = e0, inference(resolution, [status(thm)], [d15,c199])). % 20.26/3.80 cnf(d17, plain, op(e0,e0) = e0 | op(e0,e0) = e3 | op(e3,e3) = e1 | op(e0,e0) = e2, inference(resolution, [status(thm)], [d16,c191])). % 20.26/3.80 cnf(d18, plain, op(e1,e0) = op(e3,op(e3,e0)) | op(e0,e0) = e0 | op(e0,e0) = e2 | op(e0,e0) = e3, inference(superposition, [status(thm)], [d17,c76])). % 20.26/3.80 cnf(d19, plain, e0 = e0 | op(e0,e0) = e2 | op(e0,e0) = e3 | op(e1,e0) = op(e3,op(e3,e0)), inference(demodulation, [status(thm)], [d18,d3])). % 20.26/3.80 cnf(d20, plain, e0 = e0 | e0 = e2 | op(e0,e0) = e3 | op(e1,e0) = op(e3,op(e3,e0)), inference(demodulation, [status(thm)], [d19,d3])). % 20.26/3.80 cnf(d21, plain, e0 = e0 | e0 = e2 | e0 = e3 | op(e1,e0) = op(e3,op(e3,e0)), inference(demodulation, [status(thm)], [d20,d3])). % 20.26/3.80 cnf(d22, plain, e0 = e0 | e0 = e2 | e0 = e3 | e1 = op(e3,op(e3,e0)), inference(demodulation, [status(thm)], [d21,d14])). % 20.26/3.80 cnf(d23, plain, e0 = e0 | e0 = e2 | e0 = e3 | e1 = op(e3,e3), inference(demodulation, [status(thm)], [d22,d13])). % 20.26/3.80 cnf(d24, plain, e0 = e0 | e0 = e2 | e0 = e3 | e1 = e0, inference(demodulation, [status(thm)], [d23,d12])). % 20.26/3.80 cnf(d25, plain, op(e0,e1) = e1, inference(demodulation, [status(thm)], [c82,c101])). % 20.26/3.80 cnf(d26, plain, op(e1,e1) = e0, inference(resolution, [status(thm)], [d11,c200])). % 20.26/3.80 cnf(d27, plain, op(e0,e1) != e0, inference(demodulation, [status(thm)], [c135,d26])). % 20.26/3.80 cnf(d28, plain, e1 != e0, inference(demodulation, [status(thm)], [d27,d25])). % 20.26/3.80 cnf(d29, plain, e0 = e0 | e0 = e2 | e0 = e3, inference(resolution, [status(thm)], [d28,d24])). % 20.26/3.80 cnf(d30, plain, e0 = e0 | e0 = e3, inference(resolution, [status(thm)], [c178,d29])). % 20.26/3.80 cnf(d31, plain, e0 = e0, inference(resolution, [status(thm)], [c179,d30])). % 20.26/3.80 cnf(d32, plain, op(e2,e2) = e0, inference(resolution, [status(thm)], [d11,c201])). % 20.26/3.80 cnf(d33, plain, op(e2,e2) != e0 | op(e1,e1) != e0 | op(e3,e3) != e0, inference(resolution, [status(thm)], [d3,c183])). % 20.26/3.80 cnf(d34, plain, e0 != e0 | op(e1,e1) != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [d33,d32])). % 20.26/3.80 cnf(d35, plain, e0 != e0 | e0 != e0 | op(e3,e3) != e0, inference(demodulation, [status(thm)], [d34,d26])). % 20.26/3.80 cnf(d36, plain, e0 != e0 | e0 != e0 | e0 != e0, inference(demodulation, [status(thm)], [d35,d12])). % 20.26/3.80 cnf(d37, plain, e0 != e0 | e0 != e0, inference(resolution, [status(thm)], [d31,d36])). % 20.26/3.80 cnf(d38, plain, $false, inference(resolution, [status(thm)], [d37,d31])). % 20.26/3.80 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------