%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SYN551+1 : TPTP v9.3.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n018.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 09:29:03 AM UTC 2026 % Result : Theorem 19.21s 2.79s % Output : CNFRefutation 19.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SYN551+1 : TPTP v9.3.1. Bugfixed v3.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.35 % Computer : n018.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 26 18:15:37 UTC 2026 % 0.11/0.36 % CPUTime : % 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 19.21/2.79 % SZS status Theorem for theBenchmark.p % 19.21/2.79 % SZS output start CNFRefutation for theBenchmark.p % 19.21/2.79 fof(prove_this_cute_thing, conjecture, ((? [X0] : X0 = f(g(X0)) & ! [X1] : ! [X2] : (((X1 = f(g(X1)) & X2 = f(g(X2))) => X1 = X2))) <=> (? [X0] : X0 = g(f(X0)) & ! [X1] : ! [X2] : (((X1 = g(f(X1)) & X2 = g(f(X2))) => X1 = X2))))). % 19.21/2.79 fof(negated_conjecture, negated_conjecture, ~(((? [X0] : X0 = f(g(X0)) & ! [X1] : ! [X2] : (((X1 = f(g(X1)) & X2 = f(g(X2))) => X1 = X2))) <=> (? [X0] : X0 = g(f(X0)) & ! [X1] : ! [X2] : (((X1 = g(f(X1)) & X2 = g(f(X2))) => X1 = X2))))), inference(negate_conjecture, [status(cth)], [prove_this_cute_thing])). % 19.21/2.79 cnf(c1, plain, X0 | X1, inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c2, plain, ~X0 | ~X1, inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c4, plain, ~X0 | sK2 = f(g(sK2)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c5, plain, ~X0 | X1 != f(g(X1)) | X2 != f(g(X2)) | X1 = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c6, plain, X0 | X1 != f(g(X1)) | sK6 = f(g(sK6)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c7, plain, X0 | X1 != f(g(X1)) | sK7 = f(g(sK7)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c8, plain, X0 | X1 != f(g(X1)) | sK6 != sK7, inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c9, plain, ~X0 | sK8 = g(f(sK8)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c10, plain, ~X0 | X1 != g(f(X1)) | X2 != g(f(X2)) | X1 = X2, inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c11, plain, X0 | X1 != g(f(X1)) | sK12 = g(f(sK12)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c12, plain, X0 | X1 != g(f(X1)) | sK13 = g(f(sK13)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(c13, plain, X0 | X1 != g(f(X1)) | sK12 != sK13, inference(clausification, [status(esa)], [negated_conjecture])). % 19.21/2.79 cnf(d0, plain, g(sK2) != g(sK2) | sK12 != sK13 | 'Ts1' | ~'Ts0', inference(superposition, [status(thm)], [c4,c13])). % 19.21/2.79 cnf(d1, plain, sK12 != sK13 | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d0])). % 19.21/2.79 cnf(d2, plain, g(sK2) != g(sK2) | sK12 = g(f(sK12)) | 'Ts1' | ~'Ts0', inference(superposition, [status(thm)], [c4,c11])). % 19.21/2.79 cnf(d3, plain, sK12 = g(f(sK12)) | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d2])). % 19.21/2.79 cnf(d4, plain, sK2 != sK2 | X0 != f(g(X0)) | sK2 = X0 | ~'Ts0' | ~'Ts0', inference(superposition, [status(thm)], [c4,c5])). % 19.21/2.79 cnf(d5, plain, f(sK12) != f(sK12) | sK2 = f(sK12) | sK2 != sK2 | ~'Ts0' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d3,d4])). % 19.21/2.79 cnf(d6, plain, sK2 != sK2 | sK2 = f(sK12) | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d5])). % 19.21/2.79 cnf(d7, plain, sK2 = f(sK12) | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d6])). % 19.21/2.79 cnf(d8, plain, sK12 = g(sK2) | ~'Ts0' | 'Ts1' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d7,d3])). % 19.21/2.79 cnf(d9, plain, sK12 != sK12 | sK13 = g(f(sK13)) | 'Ts1' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d3,c12])). % 19.21/2.79 cnf(d10, plain, sK13 = g(f(sK13)) | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d9])). % 19.21/2.79 cnf(d11, plain, f(sK13) != f(sK13) | sK2 = f(sK13) | sK2 != sK2 | ~'Ts0' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d10,d4])). % 19.21/2.79 cnf(d12, plain, sK2 != sK2 | sK2 = f(sK13) | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d11])). % 19.21/2.79 cnf(d13, plain, sK2 = f(sK13) | ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d12])). % 19.21/2.79 cnf(d14, plain, sK13 = g(sK2) | ~'Ts0' | 'Ts1' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d13,d10])). % 19.21/2.79 cnf(d15, plain, sK12 = sK13 | ~'Ts0' | 'Ts1' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d14,d8])). % 19.21/2.79 cnf(d16, plain, sK12 != sK12 | ~'Ts0' | 'Ts1' | ~'Ts0' | 'Ts1', inference(superposition, [status(thm)], [d15,d1])). % 19.21/2.79 cnf(d17, plain, ~'Ts0' | 'Ts1', inference(equality_resolution, [status(thm)], [d16])). % 19.21/2.79 cnf(d18, plain, f(sK8) != f(sK8) | sK6 != sK7 | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [c9,c8])). % 19.21/2.79 cnf(d19, plain, sK6 != sK7 | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d18])). % 19.21/2.79 cnf(d20, plain, f(sK8) != f(sK8) | sK6 = f(g(sK6)) | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [c9,c6])). % 19.21/2.79 cnf(d21, plain, sK6 = f(g(sK6)) | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d20])). % 19.21/2.79 cnf(d22, plain, sK8 != sK8 | X0 != g(f(X0)) | sK8 = X0 | ~'Ts1' | ~'Ts1', inference(superposition, [status(thm)], [c9,c10])). % 19.21/2.79 cnf(d23, plain, g(sK6) != g(sK6) | sK8 = g(sK6) | sK8 != sK8 | ~'Ts1' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d21,d22])). % 19.21/2.79 cnf(d24, plain, sK8 = g(sK6) | sK8 != sK8 | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d23])). % 19.21/2.79 cnf(d25, plain, sK8 = g(sK6) | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d24])). % 19.21/2.79 cnf(d26, plain, sK6 = f(sK8) | 'Ts0' | ~'Ts1' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d25,d21])). % 19.21/2.79 cnf(d27, plain, sK6 != sK6 | sK7 = f(g(sK7)) | 'Ts0' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d21,c7])). % 19.21/2.79 cnf(d28, plain, sK7 = f(g(sK7)) | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d27])). % 19.21/2.79 cnf(d29, plain, g(sK7) != g(sK7) | sK8 = g(sK7) | sK8 != sK8 | ~'Ts1' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d28,d22])). % 19.21/2.79 cnf(d30, plain, sK8 = g(sK7) | sK8 != sK8 | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d29])). % 19.21/2.79 cnf(d31, plain, sK8 = g(sK7) | 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d30])). % 19.21/2.79 cnf(d32, plain, sK7 = f(sK8) | 'Ts0' | ~'Ts1' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d31,d28])). % 19.21/2.79 cnf(d33, plain, sK6 = sK7 | 'Ts0' | ~'Ts1' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d32,d26])). % 19.21/2.79 cnf(d34, plain, sK6 != sK6 | 'Ts0' | ~'Ts1' | 'Ts0' | ~'Ts1', inference(superposition, [status(thm)], [d33,d19])). % 19.21/2.79 cnf(d35, plain, 'Ts0' | ~'Ts1', inference(equality_resolution, [status(thm)], [d34])). % 19.21/2.79 cnf(d36, plain, 'Ts0' | 'Ts0', inference(resolution, [status(thm)], [d35,c1])). % 19.21/2.79 cnf(d37, plain, 'Ts1', inference(resolution, [status(thm)], [d36,d17])). % 19.21/2.79 cnf(d38, plain, ~'Ts1', inference(resolution, [status(thm)], [d36,c2])). % 19.21/2.79 cnf(d39, plain, $false, inference(resolution, [status(thm)], [d38,d37])). % 19.21/2.79 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------