%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU284+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 : 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 08:41:32 AM UTC 2026
% Result : Theorem 16.24s 4.23s
% Output : CNFRefutation 16.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU284+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 09:05:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.24/4.23 % SZS status Theorem for theBenchmark.p
% 16.24/4.23 % SZS output start CNFRefutation for theBenchmark.p
% 16.24/4.23 fof(s2_funct_1__e16_22__wellord2__1, axiom, ! [X0] : (((! [X1] : ! [X2] : ! [X3] : (((in(X1,X0) & (X2 = singleton(X1) & X3 = singleton(X1))) => X2 = X3)) & ! [X1] : ~((in(X1,X0) & ! [X2] : X2 != singleton(X1)))) => ? [X1] : ((relation(X1) & (function(X1) & ('relation$udom'(X1) = X0 & ! [X2] : ((in(X2,X0) => apply(X1,X2) = singleton(X2)))))))))).
% 16.24/4.23 fof(s3_funct_1__e16_22__wellord2, conjecture, ! [X0] : ? [X1] : ((relation(X1) & (function(X1) & ('relation$udom'(X1) = X0 & ! [X2] : ((in(X2,X0) => apply(X1,X2) = singleton(X2)))))))).
% 16.24/4.23 fof(negated_conjecture, negated_conjecture, ~! [X0] : ? [X1] : ((relation(X1) & (function(X1) & ('relation$udom'(X1) = X0 & ! [X2] : ((in(X2,X0) => apply(X1,X2) = singleton(X2))))))), inference(negate_conjecture, [status(cth)], [s3_funct_1__e16_22__wellord2])).
% 16.24/4.23 cnf(c4, plain, ~X0(X1) | X2 != singleton(sK6(X1)) | X3(X1), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c6, plain, X0(X1) | sK9(X1) = singleton(sK8(X1)), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c7, plain, X0(X1) | sK10(X1) = singleton(sK8(X1)), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c8, plain, X0(X1) | sK9(X1) != sK10(X1), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c9, plain, ~X0(X1) | relation(sK11(X1)), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c10, plain, ~X0(X1) | function(sK11(X1)), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c11, plain, ~X0(X1) | 'relation$udom'(sK11(X1)) = X1, inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c12, plain, ~X0(X1) | ~in(X2,X1) | apply(sK11(X1),X2) = singleton(X2), inference(clausification, [status(esa)], [s2_funct_1__e16_22__wellord2__1])).
% 16.24/4.23 cnf(c38, plain, ~relation(X0) | ~function(X0) | 'relation$udom'(X0) != sK33 | in(sK35(X0),sK33), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.24/4.23 cnf(c39, plain, ~relation(X0) | ~function(X0) | 'relation$udom'(X0) != sK33 | apply(X0,sK35(X0)) != singleton(sK35(X0)), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.24/4.23 cnf(d0, plain, ~'Ts3'(X0) | 'Ts4'(X0), inference(equality_resolution, [status(thm)], [c4])).
% 16.24/4.23 cnf(d1, plain, 'Ts4'(X0) | sK9(X0) = singleton(sK8(X0)), inference(resolution, [status(thm)], [d0,c6])).
% 16.24/4.23 cnf(d2, plain, sK9(X0) = singleton(sK8(X0)) | 'relation$udom'(sK11(X0)) = X0, inference(resolution, [status(thm)], [d1,c11])).
% 16.24/4.23 cnf(d3, plain, 'Ts4'(X0) | sK10(X0) = singleton(sK8(X0)), inference(resolution, [status(thm)], [d0,c7])).
% 16.24/4.23 cnf(d4, plain, sK10(X0) = singleton(sK8(X0)) | 'relation$udom'(sK11(X0)) = X0, inference(resolution, [status(thm)], [d3,c11])).
% 16.24/4.23 cnf(d5, plain, sK9(X0) = sK10(X0) | 'relation$udom'(sK11(X0)) = X0 | 'relation$udom'(sK11(X0)) = X0, inference(superposition, [status(thm)], [d4,d2])).
% 16.24/4.23 cnf(d6, plain, X0 != sK33 | in(sK35(sK11(X0)),sK33) | ~relation(sK11(X0)) | ~function(sK11(X0)) | sK9(X0) = sK10(X0), inference(superposition, [status(thm)], [d5,c38])).
% 16.24/4.23 cnf(d7, plain, sK9(sK33) = sK10(sK33) | in(sK35(sK11(sK33)),sK33) | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d6])).
% 16.24/4.23 cnf(d8, plain, sK9(sK33) = sK10(sK33) | ~relation(sK11(sK33)) | ~function(sK11(sK33)) | apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d7,c12])).
% 16.24/4.23 cnf(d9, plain, sK9(sK33) = sK10(sK33) | apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~relation(sK11(sK33)) | ~'Ts4'(sK33) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d8,c10])).
% 16.24/4.23 cnf(d10, plain, sK9(sK33) = sK10(sK33) | apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~'Ts4'(sK33) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d9,c9])).
% 16.24/4.23 cnf(d11, plain, sK9(sK33) = sK10(sK33) | apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | sK9(sK33) = singleton(sK8(sK33)), inference(resolution, [status(thm)], [d10,d1])).
% 16.24/4.23 cnf(d12, plain, singleton(sK35(sK11(sK33))) != singleton(sK35(sK11(sK33))) | 'relation$udom'(sK11(sK33)) != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)) | sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33), inference(superposition, [status(thm)], [d11,c39])).
% 16.24/4.23 cnf(d13, plain, sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33) | 'relation$udom'(sK11(sK33)) != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d12])).
% 16.24/4.23 cnf(d14, plain, sK33 != sK33 | sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33) | ~relation(sK11(sK33)) | ~function(sK11(sK33)) | sK9(sK33) = sK10(sK33), inference(superposition, [status(thm)], [d5,d13])).
% 16.24/4.23 cnf(d15, plain, sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33) | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d14])).
% 16.24/4.23 cnf(d16, plain, sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33) | ~relation(sK11(sK33)) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d15,c10])).
% 16.24/4.23 cnf(d17, plain, sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33) | ~'Ts4'(sK33) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d16,c9])).
% 16.24/4.23 cnf(d18, plain, sK9(sK33) = singleton(sK8(sK33)) | sK9(sK33) = sK10(sK33) | sK9(sK33) = singleton(sK8(sK33)), inference(resolution, [status(thm)], [d17,d1])).
% 16.24/4.23 cnf(d19, plain, sK9(sK33) = sK10(sK33) | apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | sK10(sK33) = singleton(sK8(sK33)), inference(resolution, [status(thm)], [d10,d3])).
% 16.24/4.23 cnf(d20, plain, singleton(sK35(sK11(sK33))) != singleton(sK35(sK11(sK33))) | 'relation$udom'(sK11(sK33)) != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)) | sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)), inference(superposition, [status(thm)], [d19,c39])).
% 16.24/4.23 cnf(d21, plain, sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)) | 'relation$udom'(sK11(sK33)) != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d20])).
% 16.24/4.23 cnf(d22, plain, sK33 != sK33 | sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)) | ~relation(sK11(sK33)) | ~function(sK11(sK33)) | sK9(sK33) = sK10(sK33), inference(superposition, [status(thm)], [d5,d21])).
% 16.24/4.23 cnf(d23, plain, sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)) | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d22])).
% 16.24/4.23 cnf(d24, plain, sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)) | ~relation(sK11(sK33)) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d23,c10])).
% 16.24/4.23 cnf(d25, plain, sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)) | ~'Ts4'(sK33) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d24,c9])).
% 16.24/4.23 cnf(d26, plain, sK9(sK33) = sK10(sK33) | sK10(sK33) = singleton(sK8(sK33)) | sK10(sK33) = singleton(sK8(sK33)), inference(resolution, [status(thm)], [d25,d3])).
% 16.24/4.23 cnf(d27, plain, sK9(sK33) = sK10(sK33) | sK9(sK33) = sK10(sK33) | sK9(sK33) = sK10(sK33), inference(superposition, [status(thm)], [d26,d18])).
% 16.24/4.23 cnf(d28, plain, sK9(sK33) != sK9(sK33) | 'Ts3'(sK33), inference(superposition, [status(thm)], [d27,c8])).
% 16.24/4.23 cnf(d29, plain, 'Ts3'(sK33), inference(equality_resolution, [status(thm)], [d28])).
% 16.24/4.23 cnf(d30, plain, 'Ts4'(sK33), inference(resolution, [status(thm)], [d29,d0])).
% 16.24/4.23 cnf(d31, plain, 'relation$udom'(sK11(sK33)) = sK33, inference(resolution, [status(thm)], [d30,c11])).
% 16.24/4.23 cnf(d32, plain, sK33 != sK33 | in(sK35(sK11(sK33)),sK33) | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(superposition, [status(thm)], [d31,c38])).
% 16.24/4.23 cnf(d33, plain, in(sK35(sK11(sK33)),sK33) | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d32])).
% 16.24/4.23 cnf(d34, plain, ~relation(sK11(sK33)) | ~function(sK11(sK33)) | apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d33,c12])).
% 16.24/4.23 cnf(d35, plain, apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(resolution, [status(thm)], [d30,d34])).
% 16.24/4.23 cnf(d36, plain, apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~relation(sK11(sK33)) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d35,c10])).
% 16.24/4.23 cnf(d37, plain, apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~relation(sK11(sK33)), inference(resolution, [status(thm)], [d30,d36])).
% 16.24/4.23 cnf(d38, plain, apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d37,c9])).
% 16.24/4.23 cnf(d39, plain, apply(sK11(sK33),sK35(sK11(sK33))) = singleton(sK35(sK11(sK33))), inference(resolution, [status(thm)], [d30,d38])).
% 16.24/4.23 cnf(d40, plain, singleton(sK35(sK11(sK33))) != singleton(sK35(sK11(sK33))) | 'relation$udom'(sK11(sK33)) != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(superposition, [status(thm)], [d39,c39])).
% 16.24/4.23 cnf(d41, plain, singleton(sK35(sK11(sK33))) != singleton(sK35(sK11(sK33))) | sK33 != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(demodulation, [status(thm)], [d40,d31])).
% 16.24/4.23 cnf(d42, plain, sK33 != sK33 | ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d41])).
% 16.24/4.23 cnf(d43, plain, ~relation(sK11(sK33)) | ~function(sK11(sK33)), inference(equality_resolution, [status(thm)], [d42])).
% 16.24/4.23 cnf(d44, plain, ~relation(sK11(sK33)) | ~'Ts4'(sK33), inference(resolution, [status(thm)], [d43,c10])).
% 16.24/4.23 cnf(d45, plain, ~relation(sK11(sK33)), inference(resolution, [status(thm)], [d30,d44])).
% 16.24/4.23 cnf(d46, plain, ~'Ts4'(sK33), inference(resolution, [status(thm)], [d45,c9])).
% 16.24/4.23 cnf(d47, plain, $false, inference(resolution, [status(thm)], [d30,d46])).
% 16.24/4.23 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------