%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SYN047+1 : TPTP v9.3.1. Released v2.0.0. % 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 09:20:56 AM UTC 2026 % Result : Theorem 12.92s 2.33s % Output : CNFRefutation 12.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SYN047+1 : TPTP v9.3.1. Released v2.0.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.44 % Computer : n002.cluster.edu % 0.19/0.44 % Model : x86_64 x86_64 % 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.44 % Memory : 8046.5625MB % 0.19/0.44 % OS : Linux 6.8.0-71-generic % 0.19/0.44 % CPULimit : 300 % 0.19/0.44 % WCLimit : 300 % 0.19/0.44 % DateTime : Sat Sep 26 17:09:05 UTC 2026 % 0.19/0.45 % CPUTime : % 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 12.92/2.33 % SZS status Theorem for theBenchmark.p % 12.92/2.33 % SZS output start CNFRefutation for theBenchmark.p % 12.92/2.33 fof(pel17, conjecture, (((p & (q => r)) => s) <=> ((~p | (q | s)) & (~p | (~r | s))))). % 12.92/2.33 fof(negated_conjecture, negated_conjecture, ~((((p & (q => r)) => s) <=> ((~p | (q | s)) & (~p | (~r | s))))), inference(negate_conjecture, [status(cth)], [pel17])). % 12.92/2.33 cnf(c1, plain, X0 | X1, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c2, plain, ~X0 | ~X1, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c4, plain, ~X0 | ~p | q | s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c5, plain, X0 | p, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c6, plain, X0 | ~q, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c7, plain, X0 | ~s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c8, plain, ~X0 | ~p | q | s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c9, plain, ~X0 | ~p | ~r | s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c10, plain, X0 | p, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c11, plain, X0 | ~q | r, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c12, plain, X0 | ~s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c13, plain, ~X0 | X1, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c14, plain, ~X0 | ~p | ~r | s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c15, plain, X0 | ~X1 | p, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c16, plain, X0 | ~X1 | r, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(c17, plain, X0 | ~X1 | ~s, inference(clausification, [status(esa)], [negated_conjecture])). % 12.92/2.33 cnf(d0, plain, 'Ts0' | 'Ts1', inference(resolution, [status(thm)], [c13,c1])). % 12.92/2.33 cnf(d1, plain, 'Ts1' | ~p | q | s, inference(resolution, [status(thm)], [d0,c4])). % 12.92/2.33 cnf(d2, plain, 'Ts1' | q | s | 'Ts1', inference(resolution, [status(thm)], [d1,c10])). % 12.92/2.33 cnf(d3, plain, 'Ts1' | s | 'Ts1' | r, inference(resolution, [status(thm)], [d2,c11])). % 12.92/2.33 cnf(d4, plain, 'Ts1' | s | ~'Ts2' | ~p | s, inference(resolution, [status(thm)], [d3,c14])). % 12.92/2.33 cnf(d5, plain, 'Ts1' | ~'Ts2' | s | 'Ts1', inference(resolution, [status(thm)], [d4,c10])). % 12.92/2.33 cnf(d6, plain, 'Ts1' | s | 'Ts1', inference(resolution, [status(thm)], [d5,c1])). % 12.92/2.33 cnf(d7, plain, 'Ts1' | 'Ts1', inference(resolution, [status(thm)], [d6,c12])). % 12.92/2.33 cnf(d8, plain, ~p | s | ~r, inference(resolution, [status(thm)], [d7,c9])). % 12.92/2.33 cnf(d9, plain, ~'Ts2', inference(resolution, [status(thm)], [d7,c2])). % 12.92/2.33 cnf(d10, plain, ~'Ts0' | ~s, inference(resolution, [status(thm)], [d9,c17])). % 12.92/2.33 cnf(d11, plain, ~'Ts1' | q | s | 'Ts0', inference(resolution, [status(thm)], [c8,c5])). % 12.92/2.33 cnf(d12, plain, 'Ts0' | q | s, inference(resolution, [status(thm)], [d7,d11])). % 12.92/2.33 cnf(d13, plain, 'Ts0' | s | 'Ts0', inference(resolution, [status(thm)], [d12,c6])). % 12.92/2.33 cnf(d14, plain, 'Ts0' | 'Ts0', inference(resolution, [status(thm)], [d13,c7])). % 12.92/2.33 cnf(d15, plain, ~s, inference(resolution, [status(thm)], [d14,d10])). % 12.92/2.33 cnf(d16, plain, ~p | ~r, inference(resolution, [status(thm)], [d15,d8])). % 12.92/2.33 cnf(d17, plain, p | ~'Ts0', inference(resolution, [status(thm)], [d9,c15])). % 12.92/2.33 cnf(d18, plain, p, inference(resolution, [status(thm)], [d14,d17])). % 12.92/2.33 cnf(d19, plain, ~r, inference(resolution, [status(thm)], [d18,d16])). % 12.92/2.33 cnf(d20, plain, ~'Ts0' | r, inference(resolution, [status(thm)], [d9,c16])). % 12.92/2.33 cnf(d21, plain, r, inference(resolution, [status(thm)], [d14,d20])). % 12.92/2.33 cnf(d22, plain, $false, inference(resolution, [status(thm)], [d21,d19])). % 12.92/2.33 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------