%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV610+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:48:58 AM UTC 2026
% Result : Theorem 37.59s 5.17s
% Output : CNFRefutation 37.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV610+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sat Sep 26 11:19:50 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.59/5.17 % SZS status Theorem for theBenchmark.p
% 37.59/5.17 % SZS output start CNFRefutation for theBenchmark.p
% 37.59/5.17 fof($_def_DirectedSets.for_large.eventually, axiom, ! [X0] : (('cDirectedSets$u2efor$u$ularge$u2eeventually$u$u$u24a1'(X0) <=> ? [X1] : (('cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X1) & ! [X2] : (('cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X2) => ('cDirectedSets$u2eDS$u$uord$u$u$u24a3'(cI,X1,X2) => p(happ(X0,X2)))))))))).
% 37.59/5.17 fof($_def_DirectedSets.for_large.exists_arbitrarily_large, axiom, ! [X0] : (('cDirectedSets$u2efor$u$ularge$u2eexists$u$uarbitrarily$u$ularge$u$u$u24a1'(X0) <=> ! [X1] : (('cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X1) => ? [X2] : (('cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X2) & ('cDirectedSets$u2eDS$u$uord$u$u$u24a3'(cI,X1,X2) & p(happ(X0,X2)))))))))).
% 37.59/5.17 fof($_lam_34547, axiom, ! [X0] : ! [X1] : (('c$u24$u$ulam$u$u34547$u$u$u24a2'(X0,X1) <=> ~p(happ(X0,X1))))).
% 37.59/5.17 fof($adef_$_lam_34547_$a1, axiom, ! [X0] : happ('c$u24$u$ulam$u$u34547',X0) = 'c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)).
% 37.59/5.17 fof($adef_$_lam_34547_$a2, axiom, ! [X0] : ! [X1] : ((p(happ(happ('c$u24$u$ulam$u$u34547',X0),X1)) <=> 'c$u24$u$ulam$u$u34547$u$u$u24a2'(X0,X1)))).
% 37.59/5.17 fof(_HAMMER_GOAL, conjecture, ! [X0] : (('c$u24$u$utype$u$u1$u$u$u24t'(X0) => (~'cDirectedSets$u2efor$u$ularge$u2eexists$u$uarbitrarily$u$ularge$u$u$u24a1'(X0) => 'cDirectedSets$u2efor$u$ularge$u2eeventually$u$u$u24a1'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)))))).
% 37.59/5.17 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('c$u24$u$utype$u$u1$u$u$u24t'(X0) => (~'cDirectedSets$u2efor$u$ularge$u2eexists$u$uarbitrarily$u$ularge$u$u$u24a1'(X0) => 'cDirectedSets$u2efor$u$ularge$u2eeventually$u$u$u24a1'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0))))), inference(negate_conjecture, [status(cth)], [_HAMMER_GOAL])).
% 37.59/5.17 cnf(c10, plain, 'cDirectedSets$u2efor$u$ularge$u2eeventually$u$u$u24a1'(X0) | ~X1(X0), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.eventually])).
% 37.59/5.17 cnf(c13, plain, X0(X1) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X2) | 'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK12(X1,X2)), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.eventually])).
% 37.59/5.17 cnf(c14, plain, X0(X1) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X2) | 'cDirectedSets$u2eDS$u$uord$u$u$u24a3'(cI,X2,sK12(X1,X2)), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.eventually])).
% 37.59/5.17 cnf(c15, plain, X0(X1) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X2) | ~p(happ(X1,sK12(X1,X2))), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.eventually])).
% 37.59/5.17 cnf(c17, plain, 'cDirectedSets$u2efor$u$ularge$u2eexists$u$uarbitrarily$u$ularge$u$u$u24a1'(X0) | ~X1(X0), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.exists_arbitrarily_large])).
% 37.59/5.17 cnf(c21, plain, X0(X1) | 'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK17(X1)), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.exists_arbitrarily_large])).
% 37.59/5.17 cnf(c22, plain, X0(X1) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X2) | ~'cDirectedSets$u2eDS$u$uord$u$u$u24a3'(cI,sK17(X1),X2) | ~p(happ(X1,X2)), inference(clausification, [status(esa)], [$_def_DirectedSets.for_large.exists_arbitrarily_large])).
% 37.59/5.17 cnf(c32, plain, 'c$u24$u$ulam$u$u34547$u$u$u24a2'(X0,X1) | p(happ(X0,X1)), inference(clausification, [status(esa)], [$_lam_34547])).
% 37.59/5.17 cnf(c77, plain, happ('c$u24$u$ulam$u$u34547',X0) = 'c$u24$u$ulam$u$u34547$u$u$u24a1'(X0), inference(clausification, [status(esa)], [$adef_$_lam_34547_$a1])).
% 37.59/5.17 cnf(c79, plain, p(happ(happ('c$u24$u$ulam$u$u34547',X0),X1)) | ~'c$u24$u$ulam$u$u34547$u$u$u24a2'(X0,X1), inference(clausification, [status(esa)], [$adef_$_lam_34547_$a2])).
% 37.59/5.17 cnf(c90, plain, ~'cDirectedSets$u2efor$u$ularge$u2eexists$u$uarbitrarily$u$ularge$u$u$u24a1'(sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.59/5.17 cnf(c91, plain, ~'cDirectedSets$u2efor$u$ularge$u2eeventually$u$u$u24a1'('c$u24$u$ulam$u$u34547$u$u$u24a1'(sK84)), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.59/5.17 cnf(d0, plain, ~p(happ(X0,sK12(X1,sK17(X0)))) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK12(X1,sK17(X0))) | 'Ts13'(X0) | 'Ts7'(X1) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK17(X0)), inference(resolution, [status(thm)], [c22,c14])).
% 37.59/5.17 cnf(d1, plain, 'Ts7'(X0) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK17(X1)) | ~p(happ(X1,sK12(X0,sK17(X1)))) | 'Ts7'(X0) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK17(X1)) | 'Ts13'(X1), inference(resolution, [status(thm)], [c13,d0])).
% 37.59/5.17 cnf(d2, plain, 'Ts13'(X0) | ~p(happ(X0,sK12(X1,sK17(X0)))) | 'Ts7'(X1) | 'Ts13'(X0), inference(resolution, [status(thm)], [c21,d1])).
% 37.59/5.17 cnf(d3, plain, 'Ts7'(X0) | 'Ts13'(X1) | 'c$u24$u$ulam$u$u34547$u$u$u24a2'(X1,sK12(X0,sK17(X1))), inference(resolution, [status(thm)], [d2,c32])).
% 37.59/5.17 cnf(d4, plain, p(happ('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0),X1)) | ~'c$u24$u$ulam$u$u34547$u$u$u24a2'(X0,X1), inference(demodulation, [status(thm)], [c79,c77])).
% 37.59/5.17 cnf(d5, plain, ~'c$u24$u$ulam$u$u34547$u$u$u24a2'(X0,sK12('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0),X1)) | 'Ts7'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,X1), inference(resolution, [status(thm)], [d4,c15])).
% 37.59/5.17 cnf(d6, plain, 'Ts7'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)) | ~'cDirectedSets$u2eDS$u$uset$u$u$u24t'(cI,sK17(X0)) | 'Ts7'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)) | 'Ts13'(X0), inference(resolution, [status(thm)], [d5,d3])).
% 37.59/5.17 cnf(d7, plain, 'Ts13'(X0) | 'Ts7'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)) | 'Ts13'(X0), inference(resolution, [status(thm)], [c21,d6])).
% 37.59/5.17 cnf(d8, plain, 'Ts13'(X0) | 'cDirectedSets$u2efor$u$ularge$u2eeventually$u$u$u24a1'('c$u24$u$ulam$u$u34547$u$u$u24a1'(X0)), inference(resolution, [status(thm)], [d7,c10])).
% 37.59/5.17 cnf(d9, plain, 'Ts13'(sK84), inference(resolution, [status(thm)], [d8,c91])).
% 37.59/5.17 cnf(d10, plain, 'cDirectedSets$u2efor$u$ularge$u2eexists$u$uarbitrarily$u$ularge$u$u$u24a1'(sK84), inference(resolution, [status(thm)], [d9,c17])).
% 37.59/5.17 cnf(d11, plain, $false, inference(resolution, [status(thm)], [c90,d10])).
% 37.59/5.17 % SZS output end CNFRefutation for theBenchmark.p
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