%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : LCL674+1.005 : 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 : n013.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 07:55:10 AM UTC 2026 % Result : Theorem 20.54s 3.21s % Output : CNFRefutation 20.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/0.38 % Computer : n013.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Fri Sep 25 23:13:53 UTC 2026 % 0.11/0.39 % CPUTime : % 0.11/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 20.54/3.21 % SZS status Theorem for theBenchmark.p % 20.54/3.21 % SZS output start CNFRefutation for theBenchmark.p % 20.54/3.21 fof(reflexivity, axiom, ! [X0] : r1(X0,X0)). % 20.54/3.21 fof(transitivity, axiom, ! [X0] : ! [X1] : ! [X2] : (((r1(X0,X1) & r1(X1,X2)) => r1(X0,X2)))). % 20.54/3.21 fof(main, conjecture, ~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | p3(X1))) | ~((! [X1] : ((~r1(X0,X1) | (((~! [X0] : ((~r1(X1,X0) | ~((~p6(X0) & (~p106(X0) & p105(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p6(X0) & (~p106(X0) & p105(X0))))))) | ~((~p105(X1) & p104(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p5(X0) & (~p105(X0) & p104(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p5(X0) & (~p105(X0) & p104(X0))))))) | ~((~p104(X1) & p103(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p4(X0) & (~p104(X0) & p103(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p4(X0) & (~p104(X0) & p103(X0))))))) | ~((~p103(X1) & p102(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p3(X0) & (~p103(X0) & p102(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p3(X0) & (~p103(X0) & p102(X0))))))) | ~((~p102(X1) & p101(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p2(X0) & (~p102(X0) & p101(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p2(X0) & (~p102(X0) & p101(X0))))))) | ~((~p101(X1) & p100(X1)))) & ((((! [X0] : ((~r1(X1,X0) | (~p6(X0) | ~p105(X0)))) | p6(X1)) & (! [X0] : ((~r1(X1,X0) | (p6(X0) | ~p105(X0)))) | ~p6(X1))) | ~p105(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p5(X0) | ~p104(X0)))) | p5(X1)) & (! [X0] : ((~r1(X1,X0) | (p5(X0) | ~p104(X0)))) | ~p5(X1))) | ~p104(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p4(X0) | ~p103(X0)))) | p4(X1)) & (! [X0] : ((~r1(X1,X0) | (p4(X0) | ~p103(X0)))) | ~p4(X1))) | ~p103(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p3(X0) | ~p102(X0)))) | p3(X1)) & (! [X0] : ((~r1(X1,X0) | (p3(X0) | ~p102(X0)))) | ~p3(X1))) | ~p102(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p2(X0) | ~p101(X0)))) | p2(X1)) & (! [X0] : ((~r1(X1,X0) | (p2(X0) | ~p101(X0)))) | ~p2(X1))) | ~p101(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p1(X0) | ~p100(X0)))) | p1(X1)) & (! [X0] : ((~r1(X1,X0) | (p1(X0) | ~p100(X0)))) | ~p1(X1))) | ~p100(X1)) & ((p105(X1) | ~p106(X1)) & ((p104(X1) | ~p105(X1)) & ((p103(X1) | ~p104(X1)) & ((p102(X1) | ~p103(X1)) & ((p101(X1) | ~p102(X1)) & (p100(X1) | ~p101(X1)))))))))))))))))))) & (~p101(X0) & p100(X0))))))). % 20.54/3.21 fof(negated_conjecture, negated_conjecture, ~~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | p3(X1))) | ~((! [X1] : ((~r1(X0,X1) | (((~! [X0] : ((~r1(X1,X0) | ~((~p6(X0) & (~p106(X0) & p105(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p6(X0) & (~p106(X0) & p105(X0))))))) | ~((~p105(X1) & p104(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p5(X0) & (~p105(X0) & p104(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p5(X0) & (~p105(X0) & p104(X0))))))) | ~((~p104(X1) & p103(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p4(X0) & (~p104(X0) & p103(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p4(X0) & (~p104(X0) & p103(X0))))))) | ~((~p103(X1) & p102(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p3(X0) & (~p103(X0) & p102(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p3(X0) & (~p103(X0) & p102(X0))))))) | ~((~p102(X1) & p101(X1)))) & (((~! [X0] : ((~r1(X1,X0) | ~((~p2(X0) & (~p102(X0) & p101(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p2(X0) & (~p102(X0) & p101(X0))))))) | ~((~p101(X1) & p100(X1)))) & ((((! [X0] : ((~r1(X1,X0) | (~p6(X0) | ~p105(X0)))) | p6(X1)) & (! [X0] : ((~r1(X1,X0) | (p6(X0) | ~p105(X0)))) | ~p6(X1))) | ~p105(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p5(X0) | ~p104(X0)))) | p5(X1)) & (! [X0] : ((~r1(X1,X0) | (p5(X0) | ~p104(X0)))) | ~p5(X1))) | ~p104(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p4(X0) | ~p103(X0)))) | p4(X1)) & (! [X0] : ((~r1(X1,X0) | (p4(X0) | ~p103(X0)))) | ~p4(X1))) | ~p103(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p3(X0) | ~p102(X0)))) | p3(X1)) & (! [X0] : ((~r1(X1,X0) | (p3(X0) | ~p102(X0)))) | ~p3(X1))) | ~p102(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p2(X0) | ~p101(X0)))) | p2(X1)) & (! [X0] : ((~r1(X1,X0) | (p2(X0) | ~p101(X0)))) | ~p2(X1))) | ~p101(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p1(X0) | ~p100(X0)))) | p1(X1)) & (! [X0] : ((~r1(X1,X0) | (p1(X0) | ~p100(X0)))) | ~p1(X1))) | ~p100(X1)) & ((p105(X1) | ~p106(X1)) & ((p104(X1) | ~p105(X1)) & ((p103(X1) | ~p104(X1)) & ((p102(X1) | ~p103(X1)) & ((p101(X1) | ~p102(X1)) & (p100(X1) | ~p101(X1)))))))))))))))))))) & (~p101(X0) & p100(X0)))))), inference(negate_conjecture, [status(cth)], [main])). % 20.54/3.21 cnf(c0, plain, r1(X0,X0), inference(clausification, [status(esa)], [reflexivity])). % 20.54/3.21 cnf(c1, plain, ~r1(X0,X1) | ~r1(X1,X2) | r1(X0,X2), inference(clausification, [status(esa)], [transitivity])). % 20.54/3.21 cnf(c2, plain, ~r1(sK10,X0) | p3(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c3, plain, ~r1(sK10,X0) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c4, plain, ~p101(sK10), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c5, plain, p100(sK10), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c30, plain, ~X0(X1) | r1(X1,sK19(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c31, plain, ~X0(X1) | ~p3(sK19(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c38, plain, ~X0(X1) | r1(X1,sK21(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c40, plain, ~X0(X1) | ~p102(sK21(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c41, plain, ~X0(X1) | p101(sK21(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c49, plain, ~X0(X1) | X2(X1) | p102(X1) | ~p101(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(c50, plain, ~X0(X1) | X2(X1) | p101(X1) | ~p100(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 20.54/3.21 cnf(d0, plain, ~'Ts8'(sK10) | 'Ts9'(sK21(sK10)), inference(resolution, [status(thm)], [c38,c3])). % 20.54/3.21 cnf(d1, plain, ~'Ts9'(sK10) | p101(sK10) | 'Ts8'(sK10), inference(resolution, [status(thm)], [c50,c5])). % 20.54/3.21 cnf(d2, plain, ~'Ts9'(sK10) | 'Ts8'(sK10), inference(resolution, [status(thm)], [c4,d1])). % 20.54/3.21 cnf(d3, plain, 'Ts9'(sK10), inference(resolution, [status(thm)], [c3,c0])). % 20.54/3.21 cnf(d4, plain, 'Ts8'(sK10), inference(resolution, [status(thm)], [d3,d2])). % 20.54/3.21 cnf(d5, plain, 'Ts9'(sK21(sK10)), inference(resolution, [status(thm)], [d4,d0])). % 20.54/3.21 cnf(d6, plain, ~'Ts9'(sK21(X0)) | 'Ts7'(sK21(X0)) | p102(sK21(X0)) | ~'Ts8'(X0), inference(resolution, [status(thm)], [c49,c41])). % 20.54/3.21 cnf(d7, plain, 'Ts7'(sK21(sK10)) | p102(sK21(sK10)) | ~'Ts8'(sK10), inference(resolution, [status(thm)], [d6,d5])). % 20.54/3.21 cnf(d8, plain, 'Ts7'(sK21(sK10)) | p102(sK21(sK10)), inference(resolution, [status(thm)], [d4,d7])). % 20.54/3.21 cnf(d9, plain, ~'Ts8'(X0) | ~r1(sK21(X0),X1) | r1(X0,X1), inference(resolution, [status(thm)], [c38,c1])). % 20.54/3.21 cnf(d10, plain, r1(X0,sK19(sK21(X0))) | ~'Ts8'(X0) | ~'Ts7'(sK21(X0)), inference(resolution, [status(thm)], [d9,c30])). % 20.54/3.21 cnf(d11, plain, ~'Ts7'(sK21(sK10)) | ~'Ts8'(sK10) | p3(sK19(sK21(sK10))), inference(resolution, [status(thm)], [d10,c2])). % 20.54/3.21 cnf(d12, plain, p3(sK19(sK21(sK10))) | ~'Ts7'(sK21(sK10)), inference(resolution, [status(thm)], [d4,d11])). % 20.54/3.21 cnf(d13, plain, ~'Ts7'(sK21(sK10)) | ~'Ts7'(sK21(sK10)), inference(resolution, [status(thm)], [d12,c31])). % 20.54/3.21 cnf(d14, plain, p102(sK21(sK10)), inference(resolution, [status(thm)], [d13,d8])). % 20.54/3.21 cnf(d15, plain, ~'Ts8'(sK10), inference(resolution, [status(thm)], [d14,c40])). % 20.54/3.21 cnf(d16, plain, $false, inference(resolution, [status(thm)], [d4,d15])). % 20.54/3.21 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------