%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:24:10 AM UTC 2026
% Result : Theorem 15.70s 2.94s
% Output : CNFRefutation 15.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 15:03:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.70/2.94 % SZS status Theorem for theBenchmark.p
% 15.70/2.94 % SZS output start CNFRefutation for theBenchmark.p
% 15.70/2.94 fof(l1_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m1$ugroup$u2'(X1,X0) => (! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => ('m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) => 'r1$urlvect$u1'(X1,'k2$ugroup$u3'(X0,X3,X2))))))) => 'v1$ugroup$u3'(X1,X0))))))).
% 15.70/2.94 fof(l2_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m1$ugroup$u2'(X1,X0) => ('v1$ugroup$u3'(X1,X0) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => ('m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) => 'r1$urlvect$u1'(X1,'k2$ugroup$u3'(X0,X3,X2))))))))))))).
% 15.70/2.94 fof(t1_autgroup, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m1$ugroup$u2'(X1,X0) => (! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => ('m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) => 'r1$urlvect$u1'(X1,'k2$ugroup$u3'(X0,X3,X2))))))) <=> 'v1$ugroup$u3'(X1,X0))))))).
% 15.70/2.94 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m1$ugroup$u2'(X1,X0) => (! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => ('m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) => 'r1$urlvect$u1'(X1,'k2$ugroup$u3'(X0,X3,X2))))))) <=> 'v1$ugroup$u3'(X1,X0)))))), inference(negate_conjecture, [status(cth)], [t1_autgroup])).
% 15.70/2.94 cnf(c105, plain, ~'v1$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v4$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | 'm1$usubset$u1'(sK99(X0,X1),'u1$ustruct$u0'(X0)) | 'v1$ugroup$u3'(X1,X0) | ~'l1$ugroup$u1'(X0), inference(clausification, [status(esa)], [l1_autgroup])).
% 15.70/2.94 cnf(c106, plain, ~'v1$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v4$ugroup$u1'(X0) | 'm1$usubset$u1'(sK100(X0,X1),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | 'v1$ugroup$u3'(X1,X0) | ~'l1$ugroup$u1'(X0), inference(clausification, [status(esa)], [l1_autgroup])).
% 15.70/2.94 cnf(c107, plain, 'm1$usubset$u1'(sK100(X0,X1),'u1$ustruct$u0'(X1)) | ~'v1$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v4$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | 'v1$ugroup$u3'(X1,X0) | ~'l1$ugroup$u1'(X0), inference(clausification, [status(esa)], [l1_autgroup])).
% 15.70/2.94 cnf(c108, plain, ~'v1$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v4$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'r1$urlvect$u1'(X1,'k2$ugroup$u3'(X0,sK100(X0,X1),sK99(X0,X1))) | 'v1$ugroup$u3'(X1,X0) | ~'l1$ugroup$u1'(X0), inference(clausification, [status(esa)], [l1_autgroup])).
% 15.70/2.94 cnf(c109, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'r1$urlvect$u1'(X2,'k2$ugroup$u3'(X1,X0,X3)) | ~'v3$ugroup$u1'(X1) | ~'v1$ugroup$u1'(X1) | ~'l1$ugroup$u1'(X1) | ~'v1$ugroup$u3'(X2,X1) | ~'m1$ugroup$u2'(X2,X1) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X2)) | ~'m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) | ~'v4$ugroup$u1'(X1) | 'v3$ustruct$u0'(X1), inference(clausification, [status(esa)], [l2_autgroup])).
% 15.70/2.94 cnf(c110, plain, ~'v3$ustruct$u0'(sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c111, plain, 'v1$ugroup$u1'(sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c112, plain, 'v3$ugroup$u1'(sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c113, plain, 'v4$ugroup$u1'(sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c114, plain, 'l1$ugroup$u1'(sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c115, plain, 'm1$ugroup$u2'(sK107,sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c117, plain, X0(sK106,sK107) | 'v1$ugroup$u3'(sK107,sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c118, plain, ~'v1$ugroup$u3'(sK107,sK106) | ~X0(sK106,sK107), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c120, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | 'r1$urlvect$u1'(X3,'k2$ugroup$u3'(X1,X2,X0)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X3)) | ~X4(X1,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c121, plain, X0(X1,X2) | 'm1$usubset$u1'(sK110(X1,X2),'u1$ustruct$u0'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c122, plain, X0(X1,X2) | 'm1$usubset$u1'(sK111(X1,X2),'u1$ustruct$u0'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c123, plain, X0(X1,X2) | 'm1$usubset$u1'(sK111(X1,X2),'u1$ustruct$u0'(X2)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(c124, plain, X0(X1,X2) | ~'r1$urlvect$u1'(X2,'k2$ugroup$u3'(X1,sK111(X1,X2),sK110(X1,X2))), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.70/2.94 cnf(d0, plain, 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0) | ~'m1$usubset$u1'(sK99(X0,X1),'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(sK100(X0,X1),'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(sK100(X0,X1),'u1$ustruct$u0'(X0)) | ~'Ts105'(X0,X1), inference(resolution, [status(thm)], [c108,c120])).
% 15.70/2.94 cnf(d1, plain, ~'m1$usubset$u1'(sK99(X0,X1),'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(sK100(X0,X1),'u1$ustruct$u0'(X1)) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0) | ~'Ts105'(X0,X1) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0), inference(resolution, [status(thm)], [d0,c106])).
% 15.70/2.94 cnf(d2, plain, ~'m1$usubset$u1'(sK99(X0,X1),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0) | ~'Ts105'(X0,X1) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0), inference(resolution, [status(thm)], [d1,c107])).
% 15.70/2.94 cnf(d3, plain, 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0) | ~'Ts105'(X0,X1) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | 'v1$ugroup$u3'(X1,X0), inference(resolution, [status(thm)], [d2,c105])).
% 15.70/2.94 cnf(d4, plain, 'v3$ustruct$u0'(sK106) | ~'v1$ugroup$u1'(sK106) | ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'v3$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [d3,c117])).
% 15.70/2.94 cnf(d5, plain, ~'v1$ugroup$u1'(sK106) | ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'v3$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [c110,d4])).
% 15.70/2.94 cnf(d6, plain, ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'v3$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [c111,d5])).
% 15.70/2.94 cnf(d7, plain, ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [c112,d6])).
% 15.70/2.94 cnf(d8, plain, ~'l1$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [c113,d7])).
% 15.70/2.94 cnf(d9, plain, ~'m1$ugroup$u2'(sK107,sK106) | 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [c114,d8])).
% 15.70/2.94 cnf(d10, plain, 'v1$ugroup$u3'(sK107,sK106), inference(resolution, [status(thm)], [c115,d9])).
% 15.70/2.94 cnf(d11, plain, ~'m1$usubset$u1'(sK110(X0,X1),'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(sK111(X0,X1),'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(sK111(X0,X1),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v1$ugroup$u3'(X1,X0) | 'Ts105'(X0,X1), inference(resolution, [status(thm)], [c109,c124])).
% 15.70/2.94 cnf(d12, plain, ~'m1$usubset$u1'(sK110(X0,X1),'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(sK111(X0,X1),'u1$ustruct$u0'(X1)) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v1$ugroup$u3'(X1,X0) | 'Ts105'(X0,X1) | 'Ts105'(X0,X1), inference(resolution, [status(thm)], [d11,c122])).
% 15.70/2.94 cnf(d13, plain, ~'m1$usubset$u1'(sK110(X0,X1),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v1$ugroup$u3'(X1,X0) | 'Ts105'(X0,X1) | 'Ts105'(X0,X1), inference(resolution, [status(thm)], [d12,c123])).
% 15.70/2.94 cnf(d14, plain, 'v3$ustruct$u0'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'(X1,X0) | ~'v1$ugroup$u3'(X1,X0) | 'Ts105'(X0,X1) | 'Ts105'(X0,X1), inference(resolution, [status(thm)], [d13,c121])).
% 15.70/2.94 cnf(d15, plain, 'v3$ustruct$u0'(sK106) | ~'v1$ugroup$u1'(sK106) | ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'v3$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [d14,d10])).
% 15.70/2.94 cnf(d16, plain, ~'v1$ugroup$u1'(sK106) | ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'v3$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [c110,d15])).
% 15.70/2.94 cnf(d17, plain, ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'v3$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [c111,d16])).
% 15.70/2.94 cnf(d18, plain, ~'l1$ugroup$u1'(sK106) | ~'v4$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [c112,d17])).
% 15.70/2.94 cnf(d19, plain, ~'l1$ugroup$u1'(sK106) | ~'m1$ugroup$u2'(sK107,sK106) | 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [c113,d18])).
% 15.70/2.94 cnf(d20, plain, ~'m1$ugroup$u2'(sK107,sK106) | 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [c114,d19])).
% 15.70/2.94 cnf(d21, plain, 'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [c115,d20])).
% 15.70/2.94 cnf(d22, plain, ~'Ts105'(sK106,sK107), inference(resolution, [status(thm)], [d10,c118])).
% 15.70/2.94 cnf(d23, plain, $false, inference(resolution, [status(thm)], [d22,d21])).
% 15.70/2.94 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------