%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP028+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 : n019.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 09:52:40 AM UTC 2026
% Result : Theorem 17.77s 2.87s
% Output : CNFRefutation 17.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 20:35:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.77/2.87 % SZS status Theorem for theBenchmark.p
% 17.77/2.87 % SZS output start CNFRefutation for theBenchmark.p
% 17.77/2.87 fof(dt_k1_pre_topc, axiom, ! [X0] : (('l1$ustruct$u0'(X0) => 'm1$usubset$u1'('k1$upre$utopc'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))))).
% 17.77/2.87 fof(dt_l1_pre_topc, axiom, ! [X0] : (('l1$upre$utopc'(X0) => 'l1$ustruct$u0'(X0)))).
% 17.77/2.87 fof(fc6_membered, axiom, ('v1$uxboole$u0'('k1$uxboole$u0') & ('v1$umembered'('k1$uxboole$u0') & ('v2$umembered'('k1$uxboole$u0') & ('v3$umembered'('k1$uxboole$u0') & ('v4$umembered'('k1$uxboole$u0') & 'v5$umembered'('k1$uxboole$u0'))))))).
% 17.77/2.87 fof(fc7_tops_1, axiom, ! [X0] : ((('v2$upre$utopc'(X0) & 'l1$upre$utopc'(X0)) => ('v1$uxboole$u0'('k1$upre$utopc'(X0)) & ('v3$upre$utopc'('k1$upre$utopc'(X0),X0) & ('v4$upre$utopc'('k1$upre$utopc'(X0),X0) & ('v1$umembered'('k1$upre$utopc'(X0)) & ('v2$umembered'('k1$upre$utopc'(X0)) & ('v3$umembered'('k1$upre$utopc'(X0)) & ('v4$umembered'('k1$upre$utopc'(X0)) & 'v5$umembered'('k1$upre$utopc'(X0)))))))))))).
% 17.77/2.87 fof(rc2_subset_1, axiom, ! [X0] : ? [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) & 'v1$uxboole$u0'(X1)))).
% 17.77/2.87 fof(t11_tsp_1, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$upre$utopc'(X0)) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => ('v3$utex$u2'(X1,X0) => 'v1$utsp$u1'(X1,X0))))))).
% 17.77/2.87 fof(t35_tex_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$upre$utopc'(X0) & 'l1$upre$utopc'(X0))) => ! [X1] : ((('v1$uxboole$u0'(X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => 'v3$utex$u2'(X1,X0)))))).
% 17.77/2.87 fof(t3_subset, axiom, ! [X0] : ! [X1] : (('m1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) <=> 'r1$utarski'(X0,X1)))).
% 17.77/2.87 fof(t6_boole, axiom, ! [X0] : (('v1$uxboole$u0'(X0) => X0 = 'k1$uxboole$u0'))).
% 17.77/2.87 fof(t9_tsp_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$upre$utopc'(X0) & 'l1$upre$utopc'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => ~(('v1$utsp$u1'(X1,X0) & ! [X2] : (('m1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => ~(('r1$utarski'(X1,X2) & 'v1$utsp$u2'(X2,X0)))))))))))).
% 17.77/2.87 fof(t10_tsp_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$upre$utopc'(X0) & 'l1$upre$utopc'(X0))) => ? [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) & 'v1$utsp$u2'(X1,X0)))))).
% 17.77/2.87 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$upre$utopc'(X0) & 'l1$upre$utopc'(X0))) => ? [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) & 'v1$utsp$u2'(X1,X0))))), inference(negate_conjecture, [status(cth)], [t10_tsp_2])).
% 17.77/2.87 cnf(c61, plain, ~'l1$ustruct$u0'(X0) | 'm1$usubset$u1'('k1$upre$utopc'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))), inference(clausification, [status(esa)], [dt_k1_pre_topc])).
% 17.77/2.87 cnf(c62, plain, ~'l1$upre$utopc'(X0) | 'l1$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_l1_pre_topc])).
% 17.77/2.87 cnf(c83, plain, 'v1$uxboole$u0'('k1$uxboole$u0'), inference(clausification, [status(esa)], [fc6_membered])).
% 17.77/2.87 cnf(c89, plain, ~'v2$upre$utopc'(X0) | ~'l1$upre$utopc'(X0) | X1(X0), inference(clausification, [status(esa)], [fc7_tops_1])).
% 17.77/2.87 cnf(c90, plain, ~X0(X1) | 'v1$uxboole$u0'('k1$upre$utopc'(X1)), inference(clausification, [status(esa)], [fc7_tops_1])).
% 17.77/2.87 cnf(c108, plain, 'm1$usubset$u1'(sK63(X0),'k1$uzfmisc$u1'(X0)), inference(clausification, [status(esa)], [rc2_subset_1])).
% 17.77/2.87 cnf(c109, plain, 'v1$uxboole$u0'(sK63(X0)), inference(clausification, [status(esa)], [rc2_subset_1])).
% 17.77/2.87 cnf(c148, plain, ~'l1$upre$utopc'(X0) | 'v1$utsp$u1'(X1,X0) | ~'v3$utex$u2'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))), inference(clausification, [status(esa)], [t11_tsp_1])).
% 17.77/2.87 cnf(c151, plain, ~'l1$upre$utopc'(X0) | ~'v2$upre$utopc'(X0) | 'v3$utex$u2'(X1,X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | 'v3$ustruct$u0'(X0) | ~'v1$uxboole$u0'(X1), inference(clausification, [status(esa)], [t35_tex_2])).
% 17.77/2.87 cnf(c152, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) | 'r1$utarski'(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 17.77/2.87 cnf(c153, plain, 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) | ~'r1$utarski'(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 17.77/2.87 cnf(c156, plain, ~'v1$uxboole$u0'(X0) | X0 = 'k1$uxboole$u0', inference(clausification, [status(esa)], [t6_boole])).
% 17.77/2.87 cnf(c159, plain, 'm1$usubset$u1'(sK106(X0,X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | ~'l1$upre$utopc'(X0) | ~'v1$utsp$u1'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | ~'v2$upre$utopc'(X0), inference(clausification, [status(esa)], [t9_tsp_2])).
% 17.77/2.87 cnf(c161, plain, 'v1$utsp$u2'(sK106(X0,X1),X0) | ~'l1$upre$utopc'(X0) | ~'v1$utsp$u1'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | ~'v2$upre$utopc'(X0), inference(clausification, [status(esa)], [t9_tsp_2])).
% 17.77/2.87 cnf(c162, plain, ~'v3$ustruct$u0'(sK107), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.77/2.87 cnf(c163, plain, 'v2$upre$utopc'(sK107), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.77/2.87 cnf(c164, plain, 'l1$upre$utopc'(sK107), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.77/2.87 cnf(c165, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'v1$utsp$u2'(X0,sK107), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.77/2.87 cnf(d0, plain, sK63(X0) = 'k1$uxboole$u0', inference(resolution, [status(thm)], [c156,c109])).
% 17.77/2.87 cnf(d1, plain, 'm1$usubset$u1'('k1$uxboole$u0','k1$uzfmisc$u1'(X0)), inference(demodulation, [status(thm)], [c108,d0])).
% 17.77/2.87 cnf(d2, plain, 'r1$utarski'('k1$uxboole$u0',X0), inference(resolution, [status(thm)], [d1,c152])).
% 17.77/2.87 cnf(d3, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | 'v3$ustruct$u0'(sK107) | ~'v1$utsp$u1'(X0,sK107) | ~'v1$utsp$u2'(sK106(sK107,X0),sK107), inference(resolution, [status(thm)], [c159,c165])).
% 17.77/2.87 cnf(d4, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | ~'v1$utsp$u1'(X0,sK107) | ~'v1$utsp$u2'(sK106(sK107,X0),sK107), inference(resolution, [status(thm)], [c162,d3])).
% 17.77/2.87 cnf(d5, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'l1$upre$utopc'(sK107) | ~'v1$utsp$u1'(X0,sK107) | ~'v1$utsp$u2'(sK106(sK107,X0),sK107), inference(resolution, [status(thm)], [c163,d4])).
% 17.77/2.87 cnf(d6, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'v1$utsp$u1'(X0,sK107) | ~'v1$utsp$u2'(sK106(sK107,X0),sK107), inference(resolution, [status(thm)], [c164,d5])).
% 17.77/2.87 cnf(d7, plain, ~'v2$upre$utopc'(X0) | ~'l1$upre$utopc'(X0) | 'v3$ustruct$u0'(X0) | ~'v1$utsp$u1'(X1,X0) | 'v1$utsp$u2'(sK106(X0,X1),X0) | ~'r1$utarski'(X1,'u1$ustruct$u0'(X0)), inference(resolution, [status(thm)], [c161,c153])).
% 17.77/2.87 cnf(d8, plain, ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | 'v3$ustruct$u0'(sK107) | ~'r1$utarski'(X0,'u1$ustruct$u0'(sK107)) | ~'v1$utsp$u1'(X0,sK107) | ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'v1$utsp$u1'(X0,sK107), inference(resolution, [status(thm)], [d7,d6])).
% 17.77/2.87 cnf(d9, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | ~'r1$utarski'(X0,'u1$ustruct$u0'(sK107)) | ~'v1$utsp$u1'(X0,sK107), inference(resolution, [status(thm)], [c162,d8])).
% 17.77/2.87 cnf(d10, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'l1$upre$utopc'(sK107) | ~'r1$utarski'(X0,'u1$ustruct$u0'(sK107)) | ~'v1$utsp$u1'(X0,sK107), inference(resolution, [status(thm)], [c163,d9])).
% 17.77/2.87 cnf(d11, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK107))) | ~'r1$utarski'(X0,'u1$ustruct$u0'(sK107)) | ~'v1$utsp$u1'(X0,sK107), inference(resolution, [status(thm)], [c164,d10])).
% 17.77/2.87 cnf(d12, plain, ~'r1$utarski'(X0,'u1$ustruct$u0'(sK107)) | ~'v1$utsp$u1'(X0,sK107) | ~'r1$utarski'(X0,'u1$ustruct$u0'(sK107)), inference(resolution, [status(thm)], [d11,c153])).
% 17.77/2.87 cnf(d13, plain, ~'v1$utsp$u1'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [d12,d2])).
% 17.77/2.87 cnf(d14, plain, ~'v2$upre$utopc'(sK107) | 'Ts55'(sK107), inference(resolution, [status(thm)], [c89,c164])).
% 17.77/2.87 cnf(d15, plain, 'Ts55'(sK107), inference(resolution, [status(thm)], [c163,d14])).
% 17.77/2.87 cnf(d16, plain, 'k1$upre$utopc'(X0) = 'k1$uxboole$u0' | ~'Ts55'(X0), inference(resolution, [status(thm)], [c156,c90])).
% 17.77/2.87 cnf(d17, plain, 'k1$upre$utopc'(sK107) = 'k1$uxboole$u0', inference(resolution, [status(thm)], [d16,d15])).
% 17.77/2.87 cnf(d18, plain, ~'l1$upre$utopc'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$utex$u2'('k1$upre$utopc'(X0),X0) | 'v1$utsp$u1'('k1$upre$utopc'(X0),X0) | ~'l1$ustruct$u0'(X0), inference(resolution, [status(thm)], [c148,c61])).
% 17.77/2.87 cnf(d19, plain, ~'v3$utex$u2'('k1$uxboole$u0',sK107) | ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | 'v3$ustruct$u0'(sK107) | 'v1$utsp$u1'('k1$upre$utopc'(sK107),sK107), inference(superposition, [status(thm)], [d17,d18])).
% 17.77/2.87 cnf(d20, plain, ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | 'v3$ustruct$u0'(sK107) | ~'v3$utex$u2'('k1$uxboole$u0',sK107) | 'v1$utsp$u1'('k1$uxboole$u0',sK107), inference(demodulation, [status(thm)], [d19,d17])).
% 17.77/2.87 cnf(d21, plain, ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | ~'v3$utex$u2'('k1$uxboole$u0',sK107) | 'v1$utsp$u1'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [c162,d20])).
% 17.77/2.87 cnf(d22, plain, ~'l1$ustruct$u0'(sK107) | ~'v3$utex$u2'('k1$uxboole$u0',sK107) | 'v1$utsp$u1'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [c164,d21])).
% 17.77/2.87 cnf(d23, plain, 'l1$ustruct$u0'(sK107), inference(resolution, [status(thm)], [c62,c164])).
% 17.77/2.87 cnf(d24, plain, ~'v3$utex$u2'('k1$uxboole$u0',sK107) | 'v1$utsp$u1'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [d23,d22])).
% 17.77/2.87 cnf(d25, plain, ~'v1$uxboole$u0'('k1$upre$utopc'(X0)) | ~'v2$upre$utopc'(X0) | ~'l1$upre$utopc'(X0) | 'v3$ustruct$u0'(X0) | 'v3$utex$u2'('k1$upre$utopc'(X0),X0) | ~'l1$ustruct$u0'(X0), inference(resolution, [status(thm)], [c151,c61])).
% 17.77/2.87 cnf(d26, plain, 'v3$utex$u2'('k1$uxboole$u0',sK107) | ~'v1$uxboole$u0'('k1$upre$utopc'(sK107)) | ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | 'v3$ustruct$u0'(sK107), inference(superposition, [status(thm)], [d17,d25])).
% 17.77/2.87 cnf(d27, plain, ~'v1$uxboole$u0'('k1$uxboole$u0') | ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | 'v3$ustruct$u0'(sK107) | 'v3$utex$u2'('k1$uxboole$u0',sK107), inference(demodulation, [status(thm)], [d26,d17])).
% 17.77/2.87 cnf(d28, plain, ~'v1$uxboole$u0'('k1$uxboole$u0') | ~'v2$upre$utopc'(sK107) | ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | 'v3$utex$u2'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [c162,d27])).
% 17.77/2.87 cnf(d29, plain, ~'v1$uxboole$u0'('k1$uxboole$u0') | ~'l1$upre$utopc'(sK107) | ~'l1$ustruct$u0'(sK107) | 'v3$utex$u2'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [c163,d28])).
% 17.77/2.87 cnf(d30, plain, ~'v1$uxboole$u0'('k1$uxboole$u0') | ~'l1$ustruct$u0'(sK107) | 'v3$utex$u2'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [c164,d29])).
% 17.77/2.87 cnf(d31, plain, ~'l1$ustruct$u0'(sK107) | 'v3$utex$u2'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [c83,d30])).
% 17.77/2.87 cnf(d32, plain, 'v3$utex$u2'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [d23,d31])).
% 17.77/2.87 cnf(d33, plain, 'v1$utsp$u1'('k1$uxboole$u0',sK107), inference(resolution, [status(thm)], [d32,d24])).
% 17.77/2.87 cnf(d34, plain, $false, inference(resolution, [status(thm)], [d33,d13])).
% 17.77/2.87 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------