%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SYN393+1.003 : 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 : n006.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 09:22:02 AM UTC 2026 % Result : Theorem 9.49s 2.25s % Output : CNFRefutation 9.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SYN393+1.003 : TPTP v9.3.1. Released v2.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.99 % Computer : n006.cluster.edu % 0.10/0.99 % Model : x86_64 x86_64 % 0.10/0.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.99 % Memory : 8046.5625MB % 0.10/0.99 % OS : Linux 6.8.0-71-generic % 0.10/0.99 % CPULimit : 300 % 0.10/0.99 % WCLimit : 300 % 0.10/0.99 % DateTime : Sat Sep 26 17:39:57 UTC 2026 % 0.10/0.99 % CPUTime : % 0.10/0.99 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 9.49/2.25 % SZS status Theorem for theBenchmark.p % 9.49/2.25 % SZS output start CNFRefutation for theBenchmark.p % 9.49/2.25 fof(pel12, conjecture, (((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))). % 9.49/2.25 fof(negated_conjecture, negated_conjecture, ~((((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))), inference(negate_conjecture, [status(cth)], [pel12])). % 9.49/2.25 cnf(c1, plain, X0 | X1, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c2, plain, ~X0 | ~X1, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c5, plain, ~X0 | p1 | p2 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c6, plain, ~X0 | ~p2 | ~p1 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c8, plain, ~X0 | ~p1 | p2 | ~p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c9, plain, ~X0 | p1 | ~p2 | ~p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c14, plain, X0 | ~p1 | p2 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c19, plain, X0 | p1 | ~p2 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c21, plain, X0 | ~p3 | p1 | p2, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c22, plain, X0 | ~p3 | ~p2 | ~p1, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c25, plain, ~X0 | ~p1 | ~p2 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c26, plain, ~X0 | ~p1 | p2 | ~p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c28, plain, ~X0 | p1 | p2 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c29, plain, ~X0 | p1 | ~p3 | ~p2, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c32, plain, X0 | p1 | ~p2 | p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c33, plain, X0 | p1 | p2 | ~p3, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c37, plain, X0 | p2 | p3 | ~p1, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(c40, plain, X0 | ~p3 | ~p2 | ~p1, inference(clausification, [status(esa)], [negated_conjecture])). % 9.49/2.25 cnf(d0, plain, p1 | p3 | p2 | 'Ts0', inference(resolution, [status(thm)], [c28,c1])). % 9.49/2.25 cnf(d1, plain, p1 | p3 | p2 | p1 | p3 | p2, inference(resolution, [status(thm)], [d0,c5])). % 9.49/2.25 cnf(d2, plain, p1 | p2 | 'Ts0' | p1 | p2, inference(resolution, [status(thm)], [d1,c21])). % 9.49/2.25 cnf(d3, plain, p1 | p2 | 'Ts1' | p1 | p2, inference(resolution, [status(thm)], [d1,c33])). % 9.49/2.25 cnf(d4, plain, p1 | p2 | ~'Ts0', inference(resolution, [status(thm)], [d3,c2])). % 9.49/2.25 cnf(d5, plain, p1 | p2 | p1 | p2, inference(resolution, [status(thm)], [d4,d2])). % 9.49/2.25 cnf(d6, plain, p2 | 'Ts0' | p3 | p2, inference(resolution, [status(thm)], [d5,c14])). % 9.49/2.25 cnf(d7, plain, p2 | 'Ts1' | p3 | p2, inference(resolution, [status(thm)], [d5,c37])). % 9.49/2.25 cnf(d8, plain, p3 | p2 | ~'Ts0', inference(resolution, [status(thm)], [d7,c2])). % 9.49/2.25 cnf(d9, plain, p3 | p2 | p3 | p2, inference(resolution, [status(thm)], [d8,d6])). % 9.49/2.25 cnf(d10, plain, p2 | ~'Ts0' | ~p1 | p2, inference(resolution, [status(thm)], [d9,c8])). % 9.49/2.25 cnf(d11, plain, ~'Ts0' | p2 | p2, inference(resolution, [status(thm)], [d10,d5])). % 9.49/2.25 cnf(d12, plain, p2 | ~'Ts1' | ~p1 | p2, inference(resolution, [status(thm)], [d9,c26])). % 9.49/2.25 cnf(d13, plain, ~'Ts1' | p2 | p2, inference(resolution, [status(thm)], [d12,d5])). % 9.49/2.25 cnf(d14, plain, p2 | 'Ts0', inference(resolution, [status(thm)], [d13,c1])). % 9.49/2.25 cnf(d15, plain, p2 | p2, inference(resolution, [status(thm)], [d14,d11])). % 9.49/2.25 cnf(d16, plain, 'Ts1' | ~p1 | ~p3, inference(resolution, [status(thm)], [d15,c40])). % 9.49/2.25 cnf(d17, plain, ~'Ts0' | p1 | ~p3, inference(resolution, [status(thm)], [d15,c9])). % 9.49/2.25 cnf(d18, plain, 'Ts0' | p1 | p3, inference(resolution, [status(thm)], [d15,c19])). % 9.49/2.25 cnf(d19, plain, 'Ts1' | p1 | p3, inference(resolution, [status(thm)], [d15,c32])). % 9.49/2.25 cnf(d20, plain, p1 | p3 | ~'Ts0', inference(resolution, [status(thm)], [d19,c2])). % 9.49/2.25 cnf(d21, plain, p1 | p3 | p1 | p3, inference(resolution, [status(thm)], [d20,d18])). % 9.49/2.25 cnf(d22, plain, p1 | ~'Ts0' | p1, inference(resolution, [status(thm)], [d21,d17])). % 9.49/2.25 cnf(d23, plain, ~'Ts1' | p1 | ~p3, inference(resolution, [status(thm)], [d15,c29])). % 9.49/2.25 cnf(d24, plain, p1 | ~'Ts1' | p1, inference(resolution, [status(thm)], [d21,d23])). % 9.49/2.25 cnf(d25, plain, p1 | 'Ts0', inference(resolution, [status(thm)], [d24,c1])). % 9.49/2.25 cnf(d26, plain, p1 | p1, inference(resolution, [status(thm)], [d25,d22])). % 9.49/2.25 cnf(d27, plain, 'Ts1' | ~p3, inference(resolution, [status(thm)], [d26,d16])). % 9.49/2.25 cnf(d28, plain, ~'Ts0' | ~p1 | p3, inference(resolution, [status(thm)], [d15,c6])). % 9.49/2.25 cnf(d29, plain, ~'Ts0' | p3, inference(resolution, [status(thm)], [d26,d28])). % 9.49/2.25 cnf(d30, plain, ~'Ts1' | ~p1 | p3, inference(resolution, [status(thm)], [d15,c25])). % 9.49/2.25 cnf(d31, plain, ~'Ts1' | p3, inference(resolution, [status(thm)], [d26,d30])). % 9.49/2.25 cnf(d32, plain, p3 | 'Ts0', inference(resolution, [status(thm)], [d31,c1])). % 9.49/2.25 cnf(d33, plain, p3 | p3, inference(resolution, [status(thm)], [d32,d29])). % 9.49/2.25 cnf(d34, plain, 'Ts1', inference(resolution, [status(thm)], [d33,d27])). % 9.49/2.25 cnf(d35, plain, ~'Ts0', inference(resolution, [status(thm)], [d34,c2])). % 9.49/2.25 cnf(d36, plain, 'Ts0' | ~p1 | ~p3, inference(resolution, [status(thm)], [d15,c22])). % 9.49/2.25 cnf(d37, plain, 'Ts0' | ~p3, inference(resolution, [status(thm)], [d26,d36])). % 9.49/2.25 cnf(d38, plain, 'Ts0', inference(resolution, [status(thm)], [d33,d37])). % 9.49/2.25 cnf(d39, plain, $false, inference(resolution, [status(thm)], [d38,d35])). % 9.49/2.25 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------