%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU291+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 08:41:33 AM UTC 2026
% Result : Theorem 25.90s 6.19s
% Output : CNFRefutation 25.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU291+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
% 0.17/0.42 % Computer : n005.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 09:06:17 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.90/6.19 % SZS status Theorem for theBenchmark.p
% 25.90/6.19 % SZS output start CNFRefutation for theBenchmark.p
% 25.90/6.19 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((element(X2,powerset('cartesian$uproduct2'(X0,X1))) => relation(X2)))).
% 25.90/6.19 fof(d1_funct_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$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'))))))).
% 25.90/6.19 fof(dt_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2'(X2,X0,X1) => element('relation$udom$uas$usubset'(X0,X1,X2),powerset(X0))))).
% 25.90/6.19 fof(dt_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => element(X2,powerset('cartesian$uproduct2'(X0,X1)))))).
% 25.90/6.19 fof(existence_m1_subset_1, axiom, ! [X0] : ? [X1] : element(X1,X0)).
% 25.90/6.19 fof(fc12_relat_1, axiom, (empty('empty$uset') & (relation('empty$uset') & 'relation$uempty$uyielding'('empty$uset')))).
% 25.90/6.19 fof(fc5_relat_1, axiom, ! [X0] : (((~empty(X0) & relation(X0)) => ~empty('relation$udom'(X0))))).
% 25.90/6.19 fof(rc2_subset_1, axiom, ! [X0] : ? [X1] : ((element(X1,powerset(X0)) & empty(X1)))).
% 25.90/6.19 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2'(X2,X0,X1) => 'relation$udom$uas$usubset'(X0,X1,X2) = 'relation$udom'(X2)))).
% 25.90/6.19 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) <=> 'relation$uof2'(X2,X0,X1)))).
% 25.90/6.19 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : subset(X0,X0)).
% 25.90/6.19 fof(t16_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('relation$uof2$uas$usubset'(X3,X2,X0) => (subset(X0,X1) => 'relation$uof2$uas$usubset'(X3,X2,X1))))).
% 25.90/6.19 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 25.90/6.19 fof(t3_subset, axiom, ! [X0] : ! [X1] : ((element(X0,powerset(X1)) <=> subset(X0,X1)))).
% 25.90/6.19 fof(t3_xboole_1, axiom, ! [X0] : ((subset(X0,'empty$uset') => X0 = 'empty$uset'))).
% 25.90/6.19 fof(t5_subset, axiom, ! [X0] : ! [X1] : ! [X2] : ~((in(X0,X1) & (element(X1,powerset(X2)) & empty(X2))))).
% 25.90/6.19 fof(t6_boole, axiom, ! [X0] : ((empty(X0) => X0 = 'empty$uset'))).
% 25.90/6.19 fof(t9_funct_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (subset(X1,X2) => ((X1 = 'empty$uset' & X0 != 'empty$uset') | (function(X3) & ('quasi$utotal'(X3,X0,X2) & 'relation$uof2$uas$usubset'(X3,X0,X2)))))))).
% 25.90/6.19 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => (subset(X1,X2) => ((X1 = 'empty$uset' & X0 != 'empty$uset') | (function(X3) & ('quasi$utotal'(X3,X0,X2) & 'relation$uof2$uas$usubset'(X3,X0,X2))))))), inference(negate_conjecture, [status(cth)], [t9_funct_2])).
% 25.90/6.19 cnf(c3, plain, ~element(X0,powerset('cartesian$uproduct2'(X1,X2))) | relation(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 25.90/6.19 cnf(c7, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d1_funct_2])).
% 25.90/6.19 cnf(c8, plain, ~X0(X1,X2,X3) | X2 = 'empty$uset' | ~'quasi$utotal'(X3,X1,X2) | X1 = 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 25.90/6.19 cnf(c9, plain, ~X0(X1,X2,X3) | X2 = 'empty$uset' | 'quasi$utotal'(X3,X1,X2) | X1 != 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 25.90/6.19 cnf(c11, plain, ~X0(X1,X2,X3) | X1 != 'empty$uset' | 'quasi$utotal'(X3,X1,X2) | X1 != 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 25.90/6.19 cnf(c14, plain, ~'relation$uof2'(X0,X1,X2) | element('relation$udom$uas$usubset'(X1,X2,X0),powerset(X1)), inference(clausification, [status(esa)], [dt_k4_relset_1])).
% 25.90/6.19 cnf(c15, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | element(X0,powerset('cartesian$uproduct2'(X1,X2))), inference(clausification, [status(esa)], [dt_m2_relset_1])).
% 25.90/6.19 cnf(c17, plain, element(sK22(X0),X0), inference(clausification, [status(esa)], [existence_m1_subset_1])).
% 25.90/6.19 cnf(c19, plain, empty('empty$uset'), inference(clausification, [status(esa)], [fc12_relat_1])).
% 25.90/6.19 cnf(c27, plain, empty(X0) | ~relation(X0) | ~empty('relation$udom'(X0)), inference(clausification, [status(esa)], [fc5_relat_1])).
% 25.90/6.19 cnf(c53, plain, element(sK46(X0),powerset(X0)), inference(clausification, [status(esa)], [rc2_subset_1])).
% 25.90/6.19 cnf(c54, plain, empty(sK46(X0)), inference(clausification, [status(esa)], [rc2_subset_1])).
% 25.90/6.19 cnf(c64, plain, ~'relation$uof2'(X0,X1,X2) | 'relation$udom$uas$usubset'(X1,X2,X0) = 'relation$udom'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 25.90/6.19 cnf(c65, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | 'relation$uof2'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 25.90/6.19 cnf(c67, plain, subset(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 25.90/6.19 cnf(c68, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | ~subset(X2,X3) | 'relation$uof2$uas$usubset'(X0,X1,X3), inference(clausification, [status(esa)], [t16_relset_1])).
% 25.90/6.19 cnf(c70, plain, ~element(X0,X1) | empty(X1) | in(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 25.90/6.19 cnf(c71, plain, ~element(X0,powerset(X1)) | subset(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 25.90/6.19 cnf(c73, plain, ~subset(X0,'empty$uset') | X0 = 'empty$uset', inference(clausification, [status(esa)], [t3_xboole_1])).
% 25.90/6.19 cnf(c75, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | ~empty(X2), inference(clausification, [status(esa)], [t5_subset])).
% 25.90/6.19 cnf(c76, plain, ~empty(X0) | X0 = 'empty$uset', inference(clausification, [status(esa)], [t6_boole])).
% 25.90/6.19 cnf(c79, plain, function(sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.90/6.19 cnf(c80, plain, 'quasi$utotal'(sK84,sK81,sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.90/6.19 cnf(c81, plain, 'relation$uof2$uas$usubset'(sK84,sK81,sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.90/6.19 cnf(c82, plain, subset(sK82,sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.90/6.19 cnf(c83, plain, sK82 != 'empty$uset' | sK81 = 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 25.90/6.19 cnf(c84, plain, ~function(sK84) | ~'quasi$utotal'(sK84,sK81,sK83) | ~'relation$uof2$uas$usubset'(sK84,sK81,sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.90/6.19 cnf(d0, plain, 'relation$uof2$uas$usubset'(sK84,sK81,X0) | ~subset(sK82,X0), inference(resolution, [status(thm)], [c68,c81])).
% 25.90/6.19 cnf(d1, plain, ~subset(sK82,X0) | 'relation$uof2$uas$usubset'(sK84,sK81,X1) | ~subset(X0,X1), inference(resolution, [status(thm)], [d0,c68])).
% 25.90/6.19 cnf(d2, plain, 'relation$uof2$uas$usubset'(sK84,sK81,X0) | ~subset(sK83,X0), inference(resolution, [status(thm)], [d1,c82])).
% 25.90/6.19 cnf(d3, plain, ~'relation$uof2$uas$usubset'(sK84,sK81,sK83) | ~'quasi$utotal'(sK84,sK81,sK83), inference(resolution, [status(thm)], [c79,c84])).
% 25.90/6.19 cnf(d4, plain, ~subset(sK82,X0) | 'Ts8'(sK81,X0,sK84), inference(resolution, [status(thm)], [d0,c7])).
% 25.90/6.19 cnf(d5, plain, ~subset(sK82,X0) | 'relation$uof2'(sK84,sK81,X0), inference(resolution, [status(thm)], [d0,c65])).
% 25.90/6.20 cnf(d6, plain, ~subset(sK82,X0) | 'relation$udom$uas$usubset'(sK81,X0,sK84) = 'relation$udom'(sK84), inference(resolution, [status(thm)], [d5,c64])).
% 25.90/6.20 cnf(d7, plain, 'relation$udom$uas$usubset'(sK81,sK83,sK84) = 'relation$udom'(sK84), inference(resolution, [status(thm)], [d6,c82])).
% 25.90/6.20 cnf(d8, plain, sK81 != 'relation$udom'(sK84) | sK83 = 'empty$uset' | ~'Ts8'(sK81,sK83,sK84) | 'quasi$utotal'(sK84,sK81,sK83), inference(superposition, [status(thm)], [d7,c9])).
% 25.90/6.20 cnf(d9, plain, 'relation$uof2'(sK84,sK81,sK82), inference(resolution, [status(thm)], [c65,c81])).
% 25.90/6.20 cnf(d10, plain, 'relation$udom$uas$usubset'(sK81,sK82,sK84) = 'relation$udom'(sK84), inference(resolution, [status(thm)], [d9,c64])).
% 25.90/6.20 cnf(d11, plain, sK82 = 'empty$uset' | sK81 = 'relation$udom$uas$usubset'(sK81,sK82,sK84) | ~'Ts8'(sK81,sK82,sK84), inference(resolution, [status(thm)], [c8,c80])).
% 25.90/6.20 cnf(d12, plain, 'Ts8'(sK81,sK82,sK84), inference(resolution, [status(thm)], [c7,c81])).
% 25.90/6.20 cnf(d13, plain, sK81 = 'relation$udom$uas$usubset'(sK81,sK82,sK84) | sK82 = 'empty$uset', inference(resolution, [status(thm)], [d12,d11])).
% 25.90/6.20 cnf(d14, plain, sK81 = 'relation$udom'(sK84) | sK82 = 'empty$uset', inference(demodulation, [status(thm)], [d13,d10])).
% 25.90/6.20 cnf(d15, plain, sK81 != sK81 | sK83 = 'empty$uset' | ~'Ts8'(sK81,sK83,sK84) | 'quasi$utotal'(sK84,sK81,sK83) | sK82 = 'empty$uset', inference(superposition, [status(thm)], [d14,d8])).
% 25.90/6.20 cnf(d16, plain, sK82 = 'empty$uset' | sK83 = 'empty$uset' | ~'Ts8'(sK81,sK83,sK84) | 'quasi$utotal'(sK84,sK81,sK83), inference(equality_resolution, [status(thm)], [d15])).
% 25.90/6.20 cnf(d17, plain, sK82 = 'empty$uset' | sK83 = 'empty$uset' | 'quasi$utotal'(sK84,sK81,sK83) | ~subset(sK82,sK83), inference(resolution, [status(thm)], [d16,d4])).
% 25.90/6.20 cnf(d18, plain, sK82 = 'empty$uset' | sK83 = 'empty$uset' | 'quasi$utotal'(sK84,sK81,sK83), inference(resolution, [status(thm)], [c82,d17])).
% 25.90/6.20 cnf(d19, plain, sK82 = 'empty$uset' | sK83 = 'empty$uset' | ~'relation$uof2$uas$usubset'(sK84,sK81,sK83), inference(resolution, [status(thm)], [d18,d3])).
% 25.90/6.20 cnf(d20, plain, sK82 = 'empty$uset' | sK83 = 'empty$uset' | ~subset(sK83,sK83), inference(resolution, [status(thm)], [d19,d2])).
% 25.90/6.20 cnf(d21, plain, sK82 = 'empty$uset' | sK83 = 'empty$uset', inference(resolution, [status(thm)], [c67,d20])).
% 25.90/6.20 cnf(d22, plain, subset(sK82,'empty$uset') | sK82 = 'empty$uset', inference(superposition, [status(thm)], [d21,c82])).
% 25.90/6.20 cnf(d23, plain, sK82 = 'empty$uset' | sK82 = 'empty$uset', inference(resolution, [status(thm)], [d22,c73])).
% 25.90/6.20 cnf(d24, plain, sK81 = 'empty$uset', inference(resolution, [status(thm)], [d23,c83])).
% 25.90/6.20 cnf(d25, plain, element('relation$udom'(sK84),powerset(sK81)) | ~'relation$uof2'(sK84,sK81,sK82), inference(superposition, [status(thm)], [d10,c14])).
% 25.90/6.20 cnf(d26, plain, element('relation$udom'(sK84),powerset(sK81)), inference(resolution, [status(thm)], [d9,d25])).
% 25.90/6.20 cnf(d27, plain, ~in(X0,'relation$udom'(sK84)) | ~empty(sK81), inference(resolution, [status(thm)], [d26,c75])).
% 25.90/6.20 cnf(d28, plain, in(sK22(X0),X0) | empty(X0), inference(resolution, [status(thm)], [c70,c17])).
% 25.90/6.20 cnf(d29, plain, empty('relation$udom'(sK84)) | ~empty(sK81), inference(resolution, [status(thm)], [d28,d27])).
% 25.90/6.20 cnf(d30, plain, ~empty(sK81) | empty(sK84) | ~relation(sK84), inference(resolution, [status(thm)], [d29,c27])).
% 25.90/6.20 cnf(d31, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | relation(X0), inference(resolution, [status(thm)], [c15,c3])).
% 25.90/6.20 cnf(d32, plain, relation(sK84), inference(resolution, [status(thm)], [d31,c81])).
% 25.90/6.20 cnf(d33, plain, empty(sK84) | ~empty(sK81), inference(resolution, [status(thm)], [d32,d30])).
% 25.90/6.20 cnf(d34, plain, empty(sK84) | ~empty('empty$uset'), inference(demodulation, [status(thm)], [d33,d24])).
% 25.90/6.20 cnf(d35, plain, empty(sK84), inference(resolution, [status(thm)], [c19,d34])).
% 25.90/6.20 cnf(d36, plain, sK84 = 'empty$uset', inference(resolution, [status(thm)], [d35,c76])).
% 25.90/6.20 cnf(d37, plain, ~'relation$uof2$uas$usubset'(sK84,'empty$uset',sK83) | ~'quasi$utotal'(sK84,sK81,sK83), inference(demodulation, [status(thm)], [d3,d24])).
% 25.90/6.20 cnf(d38, plain, ~'relation$uof2$uas$usubset'(sK84,'empty$uset',sK83) | ~'quasi$utotal'(sK84,'empty$uset',sK83), inference(demodulation, [status(thm)], [d37,d24])).
% 25.90/6.20 cnf(d39, plain, ~'relation$uof2$uas$usubset'('empty$uset','empty$uset',sK83) | ~'quasi$utotal'(sK84,'empty$uset',sK83), inference(demodulation, [status(thm)], [d38,d36])).
% 25.90/6.20 cnf(d40, plain, ~'relation$uof2$uas$usubset'('empty$uset','empty$uset',sK83) | ~'quasi$utotal'('empty$uset','empty$uset',sK83), inference(demodulation, [status(thm)], [d39,d36])).
% 25.90/6.20 cnf(d41, plain, 'relation$uof2$uas$usubset'(sK84,sK81,X0) | ~subset('empty$uset',X0), inference(demodulation, [status(thm)], [d0,d23])).
% 25.90/6.20 cnf(d42, plain, 'relation$uof2$uas$usubset'('empty$uset',sK81,X0) | ~subset('empty$uset',X0), inference(demodulation, [status(thm)], [d41,d36])).
% 25.90/6.20 cnf(d43, plain, 'relation$uof2$uas$usubset'('empty$uset','empty$uset',X0) | ~subset('empty$uset',X0), inference(demodulation, [status(thm)], [d42,d24])).
% 25.90/6.20 cnf(d44, plain, sK46(X0) = 'empty$uset', inference(resolution, [status(thm)], [c76,c54])).
% 25.90/6.20 cnf(d45, plain, subset(sK46(X0),X0), inference(resolution, [status(thm)], [c71,c53])).
% 25.90/6.20 cnf(d46, plain, subset('empty$uset',X0), inference(demodulation, [status(thm)], [d45,d44])).
% 25.90/6.20 cnf(d47, plain, 'relation$uof2$uas$usubset'('empty$uset','empty$uset',X0), inference(resolution, [status(thm)], [d46,d43])).
% 25.90/6.20 cnf(d48, plain, ~'quasi$utotal'('empty$uset','empty$uset',sK83), inference(resolution, [status(thm)], [d47,d40])).
% 25.90/6.20 cnf(d49, plain, subset('relation$udom$uas$usubset'(X0,X1,X2),X0) | ~'relation$uof2'(X2,X0,X1), inference(resolution, [status(thm)], [c71,c14])).
% 25.90/6.20 cnf(d50, plain, ~'relation$uof2'(X0,'empty$uset',X1) | 'relation$udom$uas$usubset'('empty$uset',X1,X0) = 'empty$uset', inference(resolution, [status(thm)], [d49,c73])).
% 25.90/6.20 cnf(d51, plain, 'relation$uof2'('empty$uset','empty$uset',X0), inference(resolution, [status(thm)], [d47,c65])).
% 25.90/6.20 cnf(d52, plain, 'relation$udom$uas$usubset'('empty$uset',X0,'empty$uset') = 'empty$uset', inference(resolution, [status(thm)], [d51,d50])).
% 25.90/6.20 cnf(d53, plain, 'empty$uset' != 'empty$uset' | 'empty$uset' != 'empty$uset' | ~'Ts8'('empty$uset',X0,'empty$uset') | 'quasi$utotal'('empty$uset','empty$uset',X0), inference(superposition, [status(thm)], [d52,c11])).
% 25.90/6.20 cnf(d54, plain, sK46('empty$uset') = 'empty$uset', inference(resolution, [status(thm)], [d45,c73])).
% 25.90/6.20 cnf(d55, plain, 'empty$uset' = 'empty$uset', inference(demodulation, [status(thm)], [d54,d44])).
% 25.90/6.20 cnf(d56, plain, ~'Ts8'('empty$uset',X0,'empty$uset') | 'quasi$utotal'('empty$uset','empty$uset',X0), inference(resolution, [status(thm)], [d55,d53])).
% 25.90/6.20 cnf(d57, plain, 'Ts8'('empty$uset',X0,'empty$uset'), inference(resolution, [status(thm)], [d47,c7])).
% 25.90/6.20 cnf(d58, plain, 'quasi$utotal'('empty$uset','empty$uset',X0), inference(resolution, [status(thm)], [d57,d56])).
% 25.90/6.20 cnf(d59, plain, $false, inference(resolution, [status(thm)], [d58,d48])).
% 25.90/6.20 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------