%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU293+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 : n005.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 08:41:34 AM UTC 2026
% Result : Theorem 15.86s 4.04s
% Output : CNFRefutation 15.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU293+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
% 0.18/0.44 % Computer : n005.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 09:06:32 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.86/4.04 % SZS status Theorem for theBenchmark.p
% 15.86/4.04 % SZS output start CNFRefutation for theBenchmark.p
% 15.86/4.04 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((element(X2,powerset('cartesian$uproduct2'(X0,X1))) => relation(X2)))).
% 15.86/4.04 fof(d13_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ! [X2] : ((X2 = 'relation$uinverse$uimage'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,'relation$udom'(X0)) & in(apply(X0,X3),X1))))))))).
% 15.86/4.04 fof(d1_funct_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => (((X1 = 'empty$uset' => X0 = 'empty$uset') => ('quasi$utotal'(X2,X0,X1) <=> X0 = 'relation$udom$uas$usubset'(X0,X1,X2))) & (X1 = 'empty$uset' => (X0 = 'empty$uset' | ('quasi$utotal'(X2,X0,X1) <=> X2 = 'empty$uset'))))))).
% 15.86/4.04 fof(dt_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => element(X2,powerset('cartesian$uproduct2'(X0,X1)))))).
% 15.86/4.04 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2'(X2,X0,X1) => 'relation$udom$uas$usubset'(X0,X1,X2) = 'relation$udom'(X2)))).
% 15.86/4.04 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) <=> 'relation$uof2'(X2,X0,X1)))).
% 15.86/4.04 fof(t46_funct_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (X1 != 'empty$uset' => ! [X4] : ((in(X4,'relation$uinverse$uimage'(X3,X2)) <=> (in(X4,X0) & in(apply(X3,X4),X2)))))))).
% 15.86/4.04 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (X1 != 'empty$uset' => ! [X4] : ((in(X4,'relation$uinverse$uimage'(X3,X2)) <=> (in(X4,X0) & in(apply(X3,X4),X2))))))), inference(negate_conjecture, [status(cth)], [t46_funct_2])).
% 15.86/4.04 cnf(c3, plain, ~element(X0,powerset('cartesian$uproduct2'(X1,X2))) | relation(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 15.86/4.04 cnf(c7, plain, ~relation(X0) | ~function(X0) | X1 != 'relation$uinverse$uimage'(X0,X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [d13_funct_1])).
% 15.86/4.04 cnf(c9, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,'relation$udom'(X1)), inference(clausification, [status(esa)], [d13_funct_1])).
% 15.86/4.04 cnf(c10, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(apply(X1,X4),X2), inference(clausification, [status(esa)], [d13_funct_1])).
% 15.86/4.04 cnf(c11, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,'relation$udom'(X1)) | ~in(apply(X1,X4),X2), inference(clausification, [status(esa)], [d13_funct_1])).
% 15.86/4.04 cnf(c18, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d1_funct_2])).
% 15.86/4.04 cnf(c19, plain, ~X0(X1,X2,X3) | X2 = 'empty$uset' | ~'quasi$utotal'(X3,X1,X2) | X1 = 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 15.86/4.04 cnf(c26, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | element(X0,powerset('cartesian$uproduct2'(X1,X2))), inference(clausification, [status(esa)], [dt_m2_relset_1])).
% 15.86/4.04 cnf(c75, plain, ~'relation$uof2'(X0,X1,X2) | 'relation$udom$uas$usubset'(X1,X2,X0) = 'relation$udom'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 15.86/4.04 cnf(c76, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | 'relation$uof2'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 15.86/4.04 cnf(c88, plain, function(sK85), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(c89, plain, 'quasi$utotal'(sK85,sK82,sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(c90, plain, 'relation$uof2$uas$usubset'(sK85,sK82,sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(c91, plain, sK83 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(c93, plain, in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | in(sK86,sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(c94, plain, in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | in(apply(sK85,sK86),sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(c95, plain, ~in(sK86,sK82) | ~in(apply(sK85,sK86),sK84) | ~in(sK86,'relation$uinverse$uimage'(sK85,sK84)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.86/4.04 cnf(d0, plain, ~function(X0) | ~relation(X0) | 'Ts8'(X0,X1,'relation$uinverse$uimage'(X0,X1)), inference(equality_resolution, [status(thm)], [c7])).
% 15.86/4.04 cnf(d1, plain, ~function(X0) | ~relation(X0) | ~in(X1,'relation$uinverse$uimage'(X0,X2)) | in(apply(X0,X1),X2), inference(resolution, [status(thm)], [d0,c10])).
% 15.86/4.04 cnf(d2, plain, sK83 = 'empty$uset' | sK82 = 'relation$udom$uas$usubset'(sK82,sK83,sK85) | ~'Ts14'(sK82,sK83,sK85), inference(resolution, [status(thm)], [c19,c89])).
% 15.86/4.04 cnf(d3, plain, sK82 = 'relation$udom$uas$usubset'(sK82,sK83,sK85) | ~'Ts14'(sK82,sK83,sK85), inference(resolution, [status(thm)], [c91,d2])).
% 15.86/4.04 cnf(d4, plain, 'Ts14'(sK82,sK83,sK85), inference(resolution, [status(thm)], [c18,c90])).
% 15.86/4.04 cnf(d5, plain, sK82 = 'relation$udom$uas$usubset'(sK82,sK83,sK85), inference(resolution, [status(thm)], [d4,d3])).
% 15.86/4.04 cnf(d6, plain, 'relation$uof2'(sK85,sK82,sK83), inference(resolution, [status(thm)], [c76,c90])).
% 15.86/4.04 cnf(d7, plain, 'relation$udom$uas$usubset'(sK82,sK83,sK85) = 'relation$udom'(sK85), inference(resolution, [status(thm)], [d6,c75])).
% 15.86/4.04 cnf(d8, plain, sK82 = 'relation$udom'(sK85), inference(demodulation, [status(thm)], [d7,d5])).
% 15.86/4.04 cnf(d9, plain, in(sK86,X0) | ~in(sK86,'relation$udom'(sK85)) | ~'Ts8'(sK85,sK84,X0) | in(sK86,'relation$uinverse$uimage'(sK85,sK84)), inference(resolution, [status(thm)], [c11,c94])).
% 15.86/4.04 cnf(d10, plain, in(sK86,X0) | in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | ~in(sK86,sK82) | ~'Ts8'(sK85,sK84,X0), inference(demodulation, [status(thm)], [d9,d8])).
% 15.86/4.04 cnf(d11, plain, in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | ~in(sK86,sK82) | ~function(sK85) | ~relation(sK85), inference(resolution, [status(thm)], [d10,d0])).
% 15.86/4.04 cnf(d12, plain, in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | ~in(sK86,sK82) | ~relation(sK85), inference(resolution, [status(thm)], [c88,d11])).
% 15.86/4.04 cnf(d13, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | relation(X0), inference(resolution, [status(thm)], [c26,c3])).
% 15.86/4.04 cnf(d14, plain, relation(sK85), inference(resolution, [status(thm)], [d13,c90])).
% 15.86/4.04 cnf(d15, plain, in(sK86,'relation$uinverse$uimage'(sK85,sK84)) | ~in(sK86,sK82), inference(resolution, [status(thm)], [d14,d12])).
% 15.86/4.04 cnf(d16, plain, ~function(X0) | ~relation(X0) | ~in(X1,'relation$uinverse$uimage'(X0,X2)) | in(X1,'relation$udom'(X0)), inference(resolution, [status(thm)], [d0,c9])).
% 15.86/4.04 cnf(d17, plain, in(sK86,'relation$udom'(sK85)) | ~function(sK85) | ~relation(sK85) | in(sK86,sK82), inference(resolution, [status(thm)], [d16,c93])).
% 15.86/4.04 cnf(d18, plain, in(sK86,sK82) | in(sK86,sK82) | ~function(sK85) | ~relation(sK85), inference(demodulation, [status(thm)], [d17,d8])).
% 15.86/4.04 cnf(d19, plain, in(sK86,sK82) | in(sK86,sK82) | ~relation(sK85), inference(resolution, [status(thm)], [c88,d18])).
% 15.86/4.04 cnf(d20, plain, in(sK86,sK82), inference(resolution, [status(thm)], [d14,d19])).
% 15.86/4.04 cnf(d21, plain, in(sK86,'relation$uinverse$uimage'(sK85,sK84)), inference(resolution, [status(thm)], [d20,d15])).
% 15.86/4.04 cnf(d22, plain, in(apply(sK85,sK86),sK84) | ~function(sK85) | ~relation(sK85), inference(resolution, [status(thm)], [d21,d1])).
% 15.86/4.04 cnf(d23, plain, in(apply(sK85,sK86),sK84) | ~relation(sK85), inference(resolution, [status(thm)], [c88,d22])).
% 15.86/4.04 cnf(d24, plain, in(apply(sK85,sK86),sK84), inference(resolution, [status(thm)], [d14,d23])).
% 15.86/4.04 cnf(d25, plain, ~in(sK86,sK82) | ~in(apply(sK85,sK86),sK84) | ~in(sK86,sK82), inference(resolution, [status(thm)], [d15,c95])).
% 15.86/4.04 cnf(d26, plain, ~in(apply(sK85,sK86),sK84), inference(resolution, [status(thm)], [d20,d25])).
% 15.86/4.04 cnf(d27, plain, $false, inference(resolution, [status(thm)], [d26,d24])).
% 15.86/4.04 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------