%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU297+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 08:41:35 AM UTC 2026
% Result : Theorem 13.73s 4.04s
% Output : CNFRefutation 13.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU297+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.39 % Computer : n004.cluster.edu
% 0.07/0.39 % Model : x86_64 x86_64
% 0.07/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.39 % Memory : 8046.5625MB
% 0.07/0.39 % OS : Linux 6.8.0-71-generic
% 0.07/0.39 % CPULimit : 300
% 0.07/0.39 % WCLimit : 300
% 0.07/0.39 % DateTime : Sat Sep 26 09:07:36 UTC 2026
% 0.07/0.39 % CPUTime :
% 0.07/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.73/4.04 % SZS status Theorem for theBenchmark.p
% 13.73/4.04 % SZS output start CNFRefutation for theBenchmark.p
% 13.73/4.04 fof(s1_tarski__e6_27__finset_1__1, axiom, ! [X0] : ! [X1] : ! [X2] : (((element(X1,powerset(powerset(X0))) & (relation(X2) & function(X2))) => (! [X3] : ! [X4] : ! [X5] : (((X3 = X4 & (in('relation$uimage'(X2,X4),X1) & (X3 = X5 & in('relation$uimage'(X2,X5),X1)))) => X4 = X5)) => ? [X3] : ! [X4] : ((in(X4,X3) <=> ? [X5] : ((in(X5,powerset('relation$udom'(X2))) & (X5 = X4 & in('relation$uimage'(X2,X4),X1)))))))))).
% 13.73/4.04 fof(s1_xboole_0__e6_27__finset_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((element(X1,powerset(powerset(X0))) & (relation(X2) & function(X2))) => ? [X3] : ! [X4] : ((in(X4,X3) <=> (in(X4,powerset('relation$udom'(X2))) & in('relation$uimage'(X2,X4),X1))))))).
% 13.73/4.04 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((element(X1,powerset(powerset(X0))) & (relation(X2) & function(X2))) => ? [X3] : ! [X4] : ((in(X4,X3) <=> (in(X4,powerset('relation$udom'(X2))) & in('relation$uimage'(X2,X4),X1)))))), inference(negate_conjecture, [status(cth)], [s1_xboole_0__e6_27__finset_1])).
% 13.73/4.04 cnf(c78, plain, ~relation(X0) | X1(X2,X0) | ~in(X3,sK43(X2,X0)) | ~function(X0) | ~element(X2,powerset(powerset(X4))) | in(sK45(X2,X0,X3),powerset('relation$udom'(X0))), inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c79, plain, ~relation(X0) | X1(X2,X0) | ~in(X3,sK43(X2,X0)) | ~function(X0) | ~element(X2,powerset(powerset(X4))) | sK45(X2,X0,X3) = X3, inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c80, plain, ~relation(X0) | X1(X2,X0) | in('relation$uimage'(X0,X3),X2) | ~in(X3,sK43(X2,X0)) | ~function(X0) | ~element(X2,powerset(powerset(X4))), inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c81, plain, ~relation(X0) | X1(X2,X0) | in(X3,sK43(X2,X0)) | ~function(X0) | ~in(X4,powerset('relation$udom'(X0))) | X4 != X3 | ~in('relation$uimage'(X0,X3),X2) | ~element(X2,powerset(powerset(X5))), inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c82, plain, ~X0(X1,X2) | sK47(X1,X2) = sK48(X1,X2), inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c84, plain, ~X0(X1,X2) | sK47(X1,X2) = sK49(X1,X2), inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c86, plain, ~X0(X1,X2) | sK48(X1,X2) != sK49(X1,X2), inference(clausification, [status(esa)], [s1_tarski__e6_27__finset_1__1])).
% 13.73/4.04 cnf(c87, plain, element(sK51,powerset(powerset(sK50))), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.73/4.04 cnf(c88, plain, relation(sK52), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.73/4.04 cnf(c89, plain, function(sK52), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.73/4.04 cnf(c91, plain, in(sK54(X0),X0) | in(sK54(X0),powerset('relation$udom'(sK52))), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.73/4.04 cnf(c92, plain, in(sK54(X0),X0) | in('relation$uimage'(sK52,sK54(X0)),sK51), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.73/4.04 cnf(c93, plain, ~in(sK54(X0),powerset('relation$udom'(sK52))) | ~in('relation$uimage'(sK52,sK54(X0)),sK51) | ~in(sK54(X0),X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.73/4.04 cnf(d0, plain, ~element(X0,powerset(powerset(X1))) | ~relation(X2) | ~function(X2) | in(X3,sK43(X0,X2)) | ~in(X3,powerset('relation$udom'(X2))) | ~in('relation$uimage'(X2,X3),X0) | 'Ts39'(X0,X2), inference(equality_resolution, [status(thm)], [c81])).
% 13.73/4.04 cnf(d1, plain, ~element(sK51,powerset(powerset(X0))) | ~relation(sK52) | ~function(sK52) | ~in(sK54(X1),powerset('relation$udom'(sK52))) | in(sK54(X1),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52) | in(sK54(X1),X1), inference(resolution, [status(thm)], [d0,c92])).
% 13.73/4.04 cnf(d2, plain, ~element(sK51,powerset(powerset(X0))) | ~function(sK52) | in(sK54(X1),X1) | ~in(sK54(X1),powerset('relation$udom'(sK52))) | in(sK54(X1),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c88,d1])).
% 13.73/4.04 cnf(d3, plain, ~element(sK51,powerset(powerset(X0))) | in(sK54(X1),X1) | ~in(sK54(X1),powerset('relation$udom'(sK52))) | in(sK54(X1),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c89,d2])).
% 13.73/4.04 cnf(d4, plain, ~element(sK51,powerset(powerset(X0))) | in(sK54(X1),X1) | in(sK54(X1),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52) | in(sK54(X1),X1), inference(resolution, [status(thm)], [d3,c91])).
% 13.73/4.04 cnf(d5, plain, in(sK54(X0),X0) | in(sK54(X0),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d4,c87])).
% 13.73/4.04 cnf(d6, plain, in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52), inference(factoring, [status(thm)], [d5])).
% 13.73/4.04 cnf(d7, plain, 'Ts39'(sK51,sK52) | sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)) | ~element(sK51,powerset(powerset(X0))) | ~relation(sK52) | ~function(sK52) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d6,c79])).
% 13.73/4.04 cnf(d8, plain, sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)) | ~element(sK51,powerset(powerset(X0))) | ~function(sK52) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c88,d7])).
% 13.73/4.04 cnf(d9, plain, sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)) | ~element(sK51,powerset(powerset(X0))) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c89,d8])).
% 13.73/4.04 cnf(d10, plain, sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d9,c87])).
% 13.73/4.04 cnf(d11, plain, ~element(X0,powerset(powerset(X1))) | ~relation(X2) | ~function(X2) | in('relation$uimage'(X2,sK54(sK43(X0,X2))),X0) | 'Ts39'(X0,X2) | in('relation$uimage'(sK52,sK54(sK43(X0,X2))),sK51), inference(resolution, [status(thm)], [c80,c92])).
% 13.73/4.04 cnf(d12, plain, ~relation(X0) | ~function(X0) | in('relation$uimage'(X0,sK54(sK43(sK51,X0))),sK51) | in('relation$uimage'(sK52,sK54(sK43(sK51,X0))),sK51) | 'Ts39'(sK51,X0), inference(resolution, [status(thm)], [d11,c87])).
% 13.73/4.04 cnf(d13, plain, ~relation(sK52) | ~function(sK52) | in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | 'Ts39'(sK51,sK52), inference(factoring, [status(thm)], [d12])).
% 13.73/4.04 cnf(d14, plain, ~function(sK52) | in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c88,d13])).
% 13.73/4.04 cnf(d15, plain, in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c89,d14])).
% 13.73/4.04 cnf(d16, plain, 'Ts39'(sK51,sK52) | ~element(sK51,powerset(powerset(X0))) | ~relation(sK52) | ~function(sK52) | in(sK45(sK51,sK52,sK54(sK43(sK51,sK52))),powerset('relation$udom'(sK52))) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d6,c78])).
% 13.73/4.04 cnf(d17, plain, ~element(sK51,powerset(powerset(X0))) | ~function(sK52) | in(sK45(sK51,sK52,sK54(sK43(sK51,sK52))),powerset('relation$udom'(sK52))) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c88,d16])).
% 13.73/4.04 cnf(d18, plain, ~element(sK51,powerset(powerset(X0))) | in(sK45(sK51,sK52,sK54(sK43(sK51,sK52))),powerset('relation$udom'(sK52))) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [c89,d17])).
% 13.73/4.04 cnf(d19, plain, in(sK45(sK51,sK52,sK54(sK43(sK51,sK52))),powerset('relation$udom'(sK52))) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d18,c87])).
% 13.73/4.04 cnf(d20, plain, sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)) | sK47(sK51,sK52) = sK48(sK51,sK52), inference(resolution, [status(thm)], [d10,c82])).
% 13.73/4.04 cnf(d21, plain, in(sK54(sK43(sK51,sK52)),powerset('relation$udom'(sK52))) | 'Ts39'(sK51,sK52) | sK47(sK51,sK52) = sK48(sK51,sK52), inference(superposition, [status(thm)], [d20,d19])).
% 13.73/4.04 cnf(d22, plain, sK47(sK51,sK52) = sK48(sK51,sK52) | 'Ts39'(sK51,sK52) | ~in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | ~in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)), inference(resolution, [status(thm)], [d21,c93])).
% 13.73/4.04 cnf(d23, plain, sK47(sK51,sK52) = sK48(sK51,sK52) | ~in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | 'Ts39'(sK51,sK52) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d22,d6])).
% 13.73/4.04 cnf(d24, plain, sK47(sK51,sK52) = sK48(sK51,sK52) | 'Ts39'(sK51,sK52) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d23,d15])).
% 13.73/4.04 cnf(d25, plain, sK47(sK51,sK52) = sK48(sK51,sK52) | sK47(sK51,sK52) = sK48(sK51,sK52), inference(resolution, [status(thm)], [d24,c82])).
% 13.73/4.04 cnf(d26, plain, sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)) | sK47(sK51,sK52) = sK49(sK51,sK52), inference(resolution, [status(thm)], [d10,c84])).
% 13.73/4.04 cnf(d27, plain, in(sK54(sK43(sK51,sK52)),powerset('relation$udom'(sK52))) | 'Ts39'(sK51,sK52) | sK47(sK51,sK52) = sK49(sK51,sK52), inference(superposition, [status(thm)], [d26,d19])).
% 13.73/4.04 cnf(d28, plain, sK47(sK51,sK52) = sK49(sK51,sK52) | 'Ts39'(sK51,sK52) | ~in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | ~in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)), inference(resolution, [status(thm)], [d27,c93])).
% 13.73/4.04 cnf(d29, plain, sK48(sK51,sK52) = sK49(sK51,sK52) | ~in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | ~in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)) | 'Ts39'(sK51,sK52), inference(demodulation, [status(thm)], [d28,d25])).
% 13.73/4.04 cnf(d30, plain, sK48(sK51,sK52) = sK49(sK51,sK52) | ~in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | 'Ts39'(sK51,sK52) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d29,d6])).
% 13.73/4.04 cnf(d31, plain, sK48(sK51,sK52) = sK49(sK51,sK52) | 'Ts39'(sK51,sK52) | 'Ts39'(sK51,sK52), inference(resolution, [status(thm)], [d30,d15])).
% 13.73/4.04 cnf(d32, plain, sK48(sK51,sK52) = sK49(sK51,sK52) | sK47(sK51,sK52) = sK49(sK51,sK52), inference(resolution, [status(thm)], [d31,c84])).
% 13.73/4.04 cnf(d33, plain, sK48(sK51,sK52) = sK49(sK51,sK52) | sK48(sK51,sK52) = sK49(sK51,sK52), inference(demodulation, [status(thm)], [d32,d25])).
% 13.73/4.04 cnf(d34, plain, sK48(sK51,sK52) != sK48(sK51,sK52) | sK48(sK51,sK52) = sK49(sK51,sK52), inference(equality_factoring, [status(thm)], [d33])).
% 13.73/4.04 cnf(d35, plain, sK48(sK51,sK52) = sK49(sK51,sK52), inference(equality_resolution, [status(thm)], [d34])).
% 13.73/4.04 cnf(d36, plain, sK48(sK51,sK52) != sK48(sK51,sK52) | ~'Ts39'(sK51,sK52), inference(superposition, [status(thm)], [d35,c86])).
% 13.73/4.04 cnf(d37, plain, ~'Ts39'(sK51,sK52), inference(equality_resolution, [status(thm)], [d36])).
% 13.73/4.04 cnf(d38, plain, sK45(sK51,sK52,sK54(sK43(sK51,sK52))) = sK54(sK43(sK51,sK52)), inference(resolution, [status(thm)], [d37,d10])).
% 13.73/4.04 cnf(d39, plain, in(sK45(sK51,sK52,sK54(sK43(sK51,sK52))),powerset('relation$udom'(sK52))), inference(resolution, [status(thm)], [d37,d19])).
% 13.73/4.04 cnf(d40, plain, in(sK54(sK43(sK51,sK52)),powerset('relation$udom'(sK52))), inference(demodulation, [status(thm)], [d39,d38])).
% 13.73/4.04 cnf(d41, plain, ~in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51) | ~in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)), inference(resolution, [status(thm)], [d40,c93])).
% 13.73/4.04 cnf(d42, plain, in('relation$uimage'(sK52,sK54(sK43(sK51,sK52))),sK51), inference(resolution, [status(thm)], [d37,d15])).
% 13.73/4.04 cnf(d43, plain, ~in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)), inference(resolution, [status(thm)], [d42,d41])).
% 13.73/4.04 cnf(d44, plain, in(sK54(sK43(sK51,sK52)),sK43(sK51,sK52)), inference(resolution, [status(thm)], [d37,d6])).
% 13.73/4.04 cnf(d45, plain, $false, inference(resolution, [status(thm)], [d44,d43])).
% 13.73/4.04 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------