%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU238+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 08:41:24 AM UTC 2026
% Result : Theorem 16.01s 3.44s
% Output : CNFRefutation 16.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU238+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 08:56:32 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.01/3.44 % SZS status Theorem for theBenchmark.p
% 16.01/3.44 % SZS output start CNFRefutation for theBenchmark.p
% 16.01/3.44 fof(antisymmetry_r2_hidden, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => ~in(X1,X0)))).
% 16.01/3.44 fof(d8_xboole_0, axiom, ! [X0] : ! [X1] : (('proper$usubset'(X0,X1) <=> (subset(X0,X1) & X0 != X1)))).
% 16.01/3.44 fof(fc3_ordinal1, axiom, ! [X0] : ((ordinal(X0) => (~empty(succ(X0)) & ('epsilon$utransitive'(succ(X0)) & ('epsilon$uconnected'(succ(X0)) & ordinal(succ(X0)))))))).
% 16.01/3.44 fof(redefinition_r1_ordinal1, axiom, ! [X0] : ! [X1] : (((ordinal(X0) & ordinal(X1)) => ('ordinal$usubset'(X0,X1) <=> subset(X0,X1))))).
% 16.01/3.44 fof(t10_ordinal1, axiom, ! [X0] : in(X0,succ(X0))).
% 16.01/3.44 fof(t21_ordinal1, axiom, ! [X0] : (('epsilon$utransitive'(X0) => ! [X1] : ((ordinal(X1) => ('proper$usubset'(X0,X1) => in(X0,X1))))))).
% 16.01/3.44 fof(t33_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => (in(X0,X1) <=> 'ordinal$usubset'(succ(X0),X1))))))).
% 16.01/3.44 fof(t41_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ('being$ulimit$uordinal'(X0) <=> ! [X1] : ((ordinal(X1) => (in(X1,X0) => in(succ(X1),X0)))))))).
% 16.01/3.44 fof(t42_ordinal1, conjecture, ! [X0] : ((ordinal(X0) => (~((~'being$ulimit$uordinal'(X0) & ! [X1] : ((ordinal(X1) => X0 != succ(X1))))) & ~((? [X1] : ((ordinal(X1) & X0 = succ(X1))) & 'being$ulimit$uordinal'(X0))))))).
% 16.01/3.44 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ordinal(X0) => (~((~'being$ulimit$uordinal'(X0) & ! [X1] : ((ordinal(X1) => X0 != succ(X1))))) & ~((? [X1] : ((ordinal(X1) & X0 = succ(X1))) & 'being$ulimit$uordinal'(X0)))))), inference(negate_conjecture, [status(cth)], [t42_ordinal1])).
% 16.01/3.44 cnf(c0, plain, ~in(X0,X1) | ~in(X1,X0), inference(clausification, [status(esa)], [antisymmetry_r2_hidden])).
% 16.01/3.44 cnf(c18, plain, 'proper$usubset'(X0,X1) | ~subset(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [d8_xboole_0])).
% 16.01/3.44 cnf(c36, plain, ~ordinal(X0) | 'epsilon$utransitive'(succ(X0)), inference(clausification, [status(esa)], [fc3_ordinal1])).
% 16.01/3.44 cnf(c38, plain, ~ordinal(X0) | ordinal(succ(X0)), inference(clausification, [status(esa)], [fc3_ordinal1])).
% 16.01/3.44 cnf(c77, plain, ~ordinal(X0) | ~ordinal(X1) | ~'ordinal$usubset'(X0,X1) | subset(X0,X1), inference(clausification, [status(esa)], [redefinition_r1_ordinal1])).
% 16.01/3.44 cnf(c81, plain, in(X0,succ(X0)), inference(clausification, [status(esa)], [t10_ordinal1])).
% 16.01/3.44 cnf(c84, plain, ~'epsilon$utransitive'(X0) | ~ordinal(X1) | ~'proper$usubset'(X0,X1) | in(X0,X1), inference(clausification, [status(esa)], [t21_ordinal1])).
% 16.01/3.44 cnf(c86, plain, ~ordinal(X0) | ~ordinal(X1) | ~in(X0,X1) | 'ordinal$usubset'(succ(X0),X1), inference(clausification, [status(esa)], [t33_ordinal1])).
% 16.01/3.44 cnf(c90, plain, ~in(X0,X1) | ~ordinal(X1) | ~ordinal(X0) | in(succ(X0),X1) | ~'being$ulimit$uordinal'(X1), inference(clausification, [status(esa)], [t41_ordinal1])).
% 16.01/3.44 cnf(c91, plain, ~ordinal(X0) | 'being$ulimit$uordinal'(X0) | ordinal(sK63(X0)), inference(clausification, [status(esa)], [t41_ordinal1])).
% 16.01/3.44 cnf(c92, plain, ~ordinal(X0) | 'being$ulimit$uordinal'(X0) | in(sK63(X0),X0), inference(clausification, [status(esa)], [t41_ordinal1])).
% 16.01/3.44 cnf(c93, plain, ~ordinal(X0) | 'being$ulimit$uordinal'(X0) | ~in(succ(sK63(X0)),X0), inference(clausification, [status(esa)], [t41_ordinal1])).
% 16.01/3.44 cnf(c99, plain, ordinal(sK76), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.01/3.44 cnf(c100, plain, ~'being$ulimit$uordinal'(sK76) | ~X0(sK76), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.01/3.44 cnf(c101, plain, ~ordinal(X0) | sK76 != succ(X0) | ~X1(sK76), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.01/3.44 cnf(c102, plain, X0(X1) | ordinal(sK78(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.01/3.44 cnf(c103, plain, X0(X1) | X1 = succ(sK78(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.01/3.44 cnf(c104, plain, X0(X1) | 'being$ulimit$uordinal'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.01/3.44 cnf(d0, plain, sK76 = succ(sK78(sK76)) | ~'being$ulimit$uordinal'(sK76), inference(resolution, [status(thm)], [c103,c100])).
% 16.01/3.44 cnf(d1, plain, ~in(X0,X1) | ~ordinal(X0) | ~ordinal(X1) | ~ordinal(X1) | ~ordinal(succ(X0)) | subset(succ(X0),X1), inference(resolution, [status(thm)], [c86,c77])).
% 16.01/3.44 cnf(d2, plain, ~in(X0,X1) | ~ordinal(X1) | ~ordinal(X0) | ~ordinal(succ(X0)) | succ(X0) = X1 | 'proper$usubset'(succ(X0),X1), inference(resolution, [status(thm)], [d1,c18])).
% 16.01/3.44 cnf(d3, plain, succ(X0) = X1 | ~in(X0,X1) | ~ordinal(X1) | ~ordinal(X0) | ~ordinal(succ(X0)) | in(succ(X0),X1) | ~ordinal(X1) | ~'epsilon$utransitive'(succ(X0)), inference(resolution, [status(thm)], [d2,c84])).
% 16.01/3.44 cnf(d4, plain, succ(sK63(X0)) = X0 | ~in(sK63(X0),X0) | ~ordinal(X0) | ~ordinal(sK63(X0)) | ~ordinal(succ(sK63(X0))) | ~'epsilon$utransitive'(succ(sK63(X0))) | ~ordinal(X0) | 'being$ulimit$uordinal'(X0), inference(resolution, [status(thm)], [d3,c93])).
% 16.01/3.44 cnf(d5, plain, succ(sK63(X0)) = X0 | ~in(sK63(X0),X0) | ~ordinal(X0) | ~ordinal(succ(sK63(X0))) | ~ordinal(sK63(X0)) | 'being$ulimit$uordinal'(X0) | ~ordinal(sK63(X0)), inference(resolution, [status(thm)], [d4,c36])).
% 16.01/3.44 cnf(d6, plain, succ(sK63(X0)) = X0 | ~in(sK63(X0),X0) | ~ordinal(X0) | ~ordinal(sK63(X0)) | 'being$ulimit$uordinal'(X0) | ~ordinal(sK63(X0)), inference(resolution, [status(thm)], [d5,c38])).
% 16.01/3.44 cnf(d7, plain, succ(sK63(X0)) = X0 | ~ordinal(X0) | ~ordinal(sK63(X0)) | 'being$ulimit$uordinal'(X0) | ~ordinal(X0) | 'being$ulimit$uordinal'(X0), inference(resolution, [status(thm)], [d6,c92])).
% 16.01/3.44 cnf(d8, plain, succ(sK63(X0)) = X0 | ~ordinal(X0) | 'being$ulimit$uordinal'(X0) | ~ordinal(X0) | 'being$ulimit$uordinal'(X0), inference(resolution, [status(thm)], [d7,c91])).
% 16.01/3.44 cnf(d9, plain, succ(sK63(sK76)) = sK76 | 'being$ulimit$uordinal'(sK76), inference(resolution, [status(thm)], [d8,c99])).
% 16.01/3.44 cnf(d10, plain, ~in(succ(X0),X0), inference(resolution, [status(thm)], [c81,c0])).
% 16.01/3.44 cnf(d11, plain, ~in(X0,X0) | ~ordinal(X0) | ~ordinal(X0) | ~'being$ulimit$uordinal'(X0), inference(resolution, [status(thm)], [d10,c90])).
% 16.01/3.44 cnf(d12, plain, ~ordinal(succ(X0)) | ~'being$ulimit$uordinal'(succ(X0)) | ~in(X0,succ(X0)) | ~ordinal(succ(X0)) | ~ordinal(X0) | ~'being$ulimit$uordinal'(succ(X0)), inference(resolution, [status(thm)], [d11,c90])).
% 16.01/3.44 cnf(d13, plain, ~ordinal(X0) | ~ordinal(succ(X0)) | ~'being$ulimit$uordinal'(succ(X0)), inference(resolution, [status(thm)], [c81,d12])).
% 16.01/3.44 cnf(d14, plain, succ(sK63(sK76)) = sK76 | sK76 = succ(sK78(sK76)), inference(resolution, [status(thm)], [d9,d0])).
% 16.01/3.44 cnf(d15, plain, ~'being$ulimit$uordinal'(sK76) | ~ordinal(sK78(sK76)) | ~ordinal(succ(sK78(sK76))) | succ(sK63(sK76)) = sK76, inference(superposition, [status(thm)], [d14,d13])).
% 16.01/3.44 cnf(d16, plain, succ(sK63(sK76)) = sK76 | ~ordinal(sK78(sK76)) | ~'being$ulimit$uordinal'(sK76) | ~ordinal(sK78(sK76)), inference(resolution, [status(thm)], [d15,c38])).
% 16.01/3.44 cnf(d17, plain, succ(sK63(sK76)) = sK76 | ~'being$ulimit$uordinal'(sK76) | 'Ts75'(sK76), inference(resolution, [status(thm)], [d16,c102])).
% 16.01/3.44 cnf(d18, plain, succ(sK63(sK76)) = sK76 | 'Ts75'(sK76) | succ(sK63(sK76)) = sK76, inference(resolution, [status(thm)], [d17,d9])).
% 16.01/3.44 cnf(d19, plain, succ(sK63(sK76)) = sK76 | ~'being$ulimit$uordinal'(sK76), inference(resolution, [status(thm)], [d18,c100])).
% 16.01/3.44 cnf(d20, plain, succ(sK63(sK76)) = sK76 | succ(sK63(sK76)) = sK76, inference(resolution, [status(thm)], [d19,d9])).
% 16.01/3.44 cnf(d21, plain, sK76 != sK76 | ~ordinal(sK63(sK76)) | ~'Ts75'(sK76), inference(superposition, [status(thm)], [d20,c101])).
% 16.01/3.44 cnf(d22, plain, ~ordinal(sK63(sK76)) | ~'Ts75'(sK76), inference(equality_resolution, [status(thm)], [d21])).
% 16.01/3.44 cnf(d23, plain, ~'Ts75'(sK76) | ~ordinal(sK76) | 'being$ulimit$uordinal'(sK76), inference(resolution, [status(thm)], [d22,c91])).
% 16.01/3.44 cnf(d24, plain, 'being$ulimit$uordinal'(sK76) | ~'Ts75'(sK76), inference(resolution, [status(thm)], [c99,d23])).
% 16.01/3.44 cnf(d25, plain, 'being$ulimit$uordinal'(sK76) | 'being$ulimit$uordinal'(sK76), inference(resolution, [status(thm)], [d24,c104])).
% 16.01/3.44 cnf(d26, plain, sK76 = succ(sK78(sK76)), inference(resolution, [status(thm)], [d25,d0])).
% 16.01/3.44 cnf(d27, plain, ~'being$ulimit$uordinal'(sK76) | ~ordinal(sK78(sK76)) | ~ordinal(succ(sK78(sK76))), inference(superposition, [status(thm)], [d26,d13])).
% 16.01/3.44 cnf(d28, plain, ~ordinal(sK76) | ~ordinal(sK78(sK76)) | ~'being$ulimit$uordinal'(sK76), inference(demodulation, [status(thm)], [d27,d26])).
% 16.01/3.44 cnf(d29, plain, ~ordinal(sK78(sK76)) | ~'being$ulimit$uordinal'(sK76), inference(resolution, [status(thm)], [c99,d28])).
% 16.01/3.44 cnf(d30, plain, ~ordinal(sK78(sK76)), inference(resolution, [status(thm)], [d25,d29])).
% 16.01/3.44 cnf(d31, plain, 'Ts75'(sK76), inference(resolution, [status(thm)], [d30,c102])).
% 16.01/3.44 cnf(d32, plain, ~'Ts75'(sK76), inference(resolution, [status(thm)], [d25,c100])).
% 16.01/3.44 cnf(d33, plain, $false, inference(resolution, [status(thm)], [d32,d31])).
% 16.01/3.44 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------