%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n008.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 07:55:08 AM UTC 2026 % Result : Theorem 19.19s 5.28s % Output : CNFRefutation 19.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n008.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 : Fri Sep 25 23:12:09 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 19.19/5.28 % SZS status Theorem for theBenchmark.p % 19.19/5.28 % SZS output start CNFRefutation for theBenchmark.p % 19.19/5.28 fof(reflexivity, axiom, ! [X0] : r1(X0,X0)). % 19.19/5.28 fof(main, conjecture, ~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | ~p4(X1))) | (~! [X1] : ((~r1(X0,X1) | ~((~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1)))))) | (~! [X0] : ((~r1(X1,X0) | ~((~! [X1] : ((~r1(X0,X1) | ~((! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1))))) & (p2(X0) & ~! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | ~p2(X1)))))))))))) | (~! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | (! [X1] : ((~r1(X0,X1) | p3(X1))) | ~p2(X0)))))))) & ! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | ~p2(X1))))))))))) | (~! [X1] : ((~r1(X0,X1) | ~((~! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | p1(X1))))) & ! [X0] : ((~r1(X1,X0) | p1(X0))))))) | (! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p1(X1))))) | ! [X0] : ((~r1(X1,X0) | p1(X0)))))) | (! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p2(X1))))))) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | ~p1(X1))))) | ~! [X0] : ((~r1(X1,X0) | ~p1(X0))))))))))))). % 19.19/5.28 fof(negated_conjecture, negated_conjecture, ~~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | ~p4(X1))) | (~! [X1] : ((~r1(X0,X1) | ~((~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1)))))) | (~! [X0] : ((~r1(X1,X0) | ~((~! [X1] : ((~r1(X0,X1) | ~((! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1))))) & (p2(X0) & ~! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | ~p2(X1)))))))))))) | (~! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | (! [X1] : ((~r1(X0,X1) | p3(X1))) | ~p2(X0)))))))) & ! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | ~p2(X1))))))))))) | (~! [X1] : ((~r1(X0,X1) | ~((~! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | p1(X1))))) & ! [X0] : ((~r1(X1,X0) | p1(X0))))))) | (! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p1(X1))))) | ! [X0] : ((~r1(X1,X0) | p1(X0)))))) | (! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p2(X1))))))) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | ~p1(X1))))) | ~! [X0] : ((~r1(X1,X0) | ~p1(X0)))))))))))), inference(negate_conjecture, [status(cth)], [main])). % 19.19/5.28 cnf(c0, plain, r1(X0,X0), inference(clausification, [status(esa)], [reflexivity])). % 19.19/5.28 cnf(c4, plain, r1(sK4,sK10), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c5, plain, ~r1(sK10,X0) | r1(X0,sK12(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c6, plain, ~r1(sK10,X0) | ~p2(sK12(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c14, plain, ~r1(sK4,X0) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c15, plain, ~X0(X1) | ~r1(X1,X2) | ~r1(X2,X3) | r1(X3,sK24(X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c16, plain, ~X0(X1) | ~r1(X1,X2) | ~r1(X2,X3) | p2(sK24(X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c21, plain, ~X0(X1) | ~r1(X1,X2) | p2(X2), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c22, plain, ~X0(X1) | ~r1(X1,X2) | r1(X2,sK29(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c23, plain, ~X0(X1) | ~r1(X1,X2) | p2(sK29(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c26, plain, ~X0(X1) | X2(X1) | r1(X1,sK31(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c27, plain, ~X0(X1) | X2(X1) | ~r1(sK31(X1),X3) | ~p2(X3), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c28, plain, ~p2(X0) | ~r1(X0,X1) | ~r1(X2,X0) | r1(X1,sK35(X1)) | X3(X0) | ~X4(X2), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(c29, plain, ~p2(X0) | ~r1(X0,X1) | ~r1(X2,X0) | ~p2(X3) | ~r1(sK35(X1),X3) | X4(X0) | ~X5(X2), inference(clausification, [status(esa)], [negated_conjecture])). % 19.19/5.28 cnf(d0, plain, 'Ts3'(sK10), inference(resolution, [status(thm)], [c14,c4])). % 19.19/5.28 cnf(d1, plain, r1(X0,sK29(X0)) | ~'Ts3'(X0), inference(resolution, [status(thm)], [c22,c0])). % 19.19/5.28 cnf(d2, plain, r1(sK10,sK29(sK10)), inference(resolution, [status(thm)], [d1,d0])). % 19.19/5.28 cnf(d3, plain, ~r1(sK29(sK10),X0) | ~r1(sK35(X0),X1) | ~p2(sK29(sK10)) | ~p2(X1) | ~'Ts3'(sK10) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d2,c29])). % 19.19/5.28 cnf(d4, plain, ~r1(sK29(sK10),X0) | ~r1(sK35(X0),X1) | ~p2(X1) | ~p2(sK29(sK10)) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d0,d3])). % 19.19/5.28 cnf(d5, plain, p2(sK29(X0)) | ~'Ts3'(X0), inference(resolution, [status(thm)], [c23,c0])). % 19.19/5.28 cnf(d6, plain, p2(sK29(sK10)), inference(resolution, [status(thm)], [d5,d0])). % 19.19/5.28 cnf(d7, plain, ~r1(sK29(sK10),X0) | ~r1(sK35(X0),X1) | ~p2(X1) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d6,d4])). % 19.19/5.28 cnf(d8, plain, ~r1(sK35(sK29(sK10)),X0) | ~p2(X0) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d7,c0])). % 19.19/5.28 cnf(d9, plain, r1(sK29(sK10),sK12(sK29(sK10))), inference(resolution, [status(thm)], [d2,c5])). % 19.19/5.28 cnf(d10, plain, p2(sK12(sK29(sK10))) | ~'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d9,c21])). % 19.19/5.28 cnf(d11, plain, ~p2(sK12(sK29(sK10))), inference(resolution, [status(thm)], [d2,c6])). % 19.19/5.28 cnf(d12, plain, ~'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d11,d10])). % 19.19/5.28 cnf(d13, plain, ~r1(sK35(sK29(sK10)),X0) | ~p2(X0), inference(resolution, [status(thm)], [d12,d8])). % 19.19/5.28 cnf(d14, plain, r1(X0,sK35(X0)) | ~r1(sK29(sK10),X0) | ~p2(sK29(sK10)) | ~'Ts3'(sK10) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d2,c28])). % 19.19/5.28 cnf(d15, plain, r1(X0,sK35(X0)) | ~r1(sK29(sK10),X0) | ~p2(sK29(sK10)) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d0,d14])). % 19.19/5.28 cnf(d16, plain, r1(X0,sK35(X0)) | ~r1(sK29(sK10),X0) | 'Ts2'(sK29(sK10)), inference(resolution, [status(thm)], [d6,d15])). % 19.19/5.28 cnf(d17, plain, r1(X0,sK35(X0)) | ~r1(sK29(sK10),X0), inference(resolution, [status(thm)], [d12,d16])). % 19.19/5.28 cnf(d18, plain, r1(sK29(sK10),sK35(sK29(sK10))), inference(resolution, [status(thm)], [d17,c0])). % 19.19/5.28 cnf(d19, plain, r1(sK35(sK29(sK10)),sK24(sK35(sK29(sK10)))) | ~r1(X0,sK29(sK10)) | ~'Ts1'(X0), inference(resolution, [status(thm)], [d18,c15])). % 19.19/5.28 cnf(d20, plain, r1(sK35(sK29(sK10)),sK24(sK35(sK29(sK10)))) | ~'Ts1'(sK10), inference(resolution, [status(thm)], [d19,d2])). % 19.19/5.28 cnf(d21, plain, r1(sK10,sK31(sK10)) | 'Ts1'(sK10), inference(resolution, [status(thm)], [c26,d0])). % 19.19/5.28 cnf(d22, plain, 'Ts1'(sK10) | p2(sK29(sK31(sK10))) | ~'Ts3'(sK10), inference(resolution, [status(thm)], [d21,c23])). % 19.19/5.28 cnf(d23, plain, p2(sK29(sK31(sK10))) | 'Ts1'(sK10), inference(resolution, [status(thm)], [d0,d22])). % 19.19/5.28 cnf(d24, plain, 'Ts1'(sK10) | r1(sK31(sK10),sK29(sK31(sK10))) | ~'Ts3'(sK10), inference(resolution, [status(thm)], [d21,c22])). % 19.19/5.28 cnf(d25, plain, r1(sK31(sK10),sK29(sK31(sK10))) | 'Ts1'(sK10), inference(resolution, [status(thm)], [d0,d24])). % 19.19/5.28 cnf(d26, plain, 'Ts1'(sK10) | ~p2(sK29(sK31(sK10))) | ~'Ts3'(sK10) | 'Ts1'(sK10), inference(resolution, [status(thm)], [d25,c27])). % 19.19/5.28 cnf(d27, plain, ~p2(sK29(sK31(sK10))) | 'Ts1'(sK10), inference(resolution, [status(thm)], [d0,d26])). % 19.19/5.28 cnf(d28, plain, 'Ts1'(sK10) | 'Ts1'(sK10), inference(resolution, [status(thm)], [d27,d23])). % 19.19/5.28 cnf(d29, plain, r1(sK35(sK29(sK10)),sK24(sK35(sK29(sK10)))), inference(resolution, [status(thm)], [d28,d20])). % 19.19/5.28 cnf(d30, plain, ~p2(sK24(sK35(sK29(sK10)))), inference(resolution, [status(thm)], [d29,d13])). % 19.19/5.28 cnf(d31, plain, ~r1(X0,sK29(sK10)) | p2(sK24(sK35(sK29(sK10)))) | ~'Ts1'(X0), inference(resolution, [status(thm)], [d18,c16])). % 19.19/5.28 cnf(d32, plain, p2(sK24(sK35(sK29(sK10)))) | ~'Ts1'(sK10), inference(resolution, [status(thm)], [d31,d2])). % 19.19/5.28 cnf(d33, plain, p2(sK24(sK35(sK29(sK10)))), inference(resolution, [status(thm)], [d28,d32])). % 19.19/5.28 cnf(d34, plain, $false, inference(resolution, [status(thm)], [d33,d30])). % 19.19/5.28 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------