%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU174+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 : n002.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 08:41:10 AM UTC 2026
% Result : Theorem 16.29s 4.21s
% Output : CNFRefutation 16.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU174+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
% 0.17/0.61 % Computer : n002.cluster.edu
% 0.17/0.61 % Model : x86_64 x86_64
% 0.17/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.61 % Memory : 8046.5625MB
% 0.17/0.61 % OS : Linux 6.8.0-71-generic
% 0.17/0.61 % CPULimit : 300
% 0.17/0.61 % WCLimit : 300
% 0.17/0.61 % DateTime : Sat Sep 26 08:47:21 UTC 2026
% 0.17/0.61 % CPUTime :
% 0.17/0.61 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.29/4.21 % SZS status Theorem for theBenchmark.p
% 16.29/4.21 % SZS output start CNFRefutation for theBenchmark.p
% 16.29/4.21 fof(d8_setfam_1, axiom, ! [X0] : ! [X1] : ((element(X1,powerset(powerset(X0))) => ! [X2] : ((element(X2,powerset(powerset(X0))) => (X2 = 'complements$uof$usubsets'(X0,X1) <=> ! [X3] : ((element(X3,powerset(X0)) => (in(X3,X2) <=> in('subset$ucomplement'(X0,X3),X1)))))))))).
% 16.29/4.21 fof(dt_k7_setfam_1, axiom, ! [X0] : ! [X1] : ((element(X1,powerset(powerset(X0))) => element('complements$uof$usubsets'(X0,X1),powerset(powerset(X0)))))).
% 16.29/4.21 fof(existence_m1_subset_1, axiom, ! [X0] : ? [X1] : element(X1,X0)).
% 16.29/4.21 fof(fc1_xboole_0, axiom, empty('empty$uset')).
% 16.29/4.21 fof(involutiveness_k7_setfam_1, axiom, ! [X0] : ! [X1] : ((element(X1,powerset(powerset(X0))) => 'complements$uof$usubsets'(X0,'complements$uof$usubsets'(X0,X1)) = X1))).
% 16.29/4.21 fof(rc2_subset_1, axiom, ! [X0] : ? [X1] : ((element(X1,powerset(X0)) & empty(X1)))).
% 16.29/4.21 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 16.29/4.21 fof(t4_subset, axiom, ! [X0] : ! [X1] : ! [X2] : (((in(X0,X1) & element(X1,powerset(X2))) => element(X0,X2)))).
% 16.29/4.21 fof(t6_boole, axiom, ! [X0] : ((empty(X0) => X0 = 'empty$uset'))).
% 16.29/4.21 fof(t7_boole, axiom, ! [X0] : ! [X1] : ~((in(X0,X1) & empty(X1)))).
% 16.29/4.21 fof(t8_boole, axiom, ! [X0] : ! [X1] : ~((empty(X0) & (X0 != X1 & empty(X1))))).
% 16.29/4.21 fof(t46_setfam_1, conjecture, ! [X0] : ! [X1] : ((element(X1,powerset(powerset(X0))) => ~((X1 != 'empty$uset' & 'complements$uof$usubsets'(X0,X1) = 'empty$uset'))))).
% 16.29/4.21 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((element(X1,powerset(powerset(X0))) => ~((X1 != 'empty$uset' & 'complements$uof$usubsets'(X0,X1) = 'empty$uset')))), inference(negate_conjecture, [status(cth)], [t46_setfam_1])).
% 16.29/4.21 cnf(c4, plain, ~element(X0,powerset(powerset(X1))) | ~element(X2,powerset(powerset(X1))) | X2 != 'complements$uof$usubsets'(X1,X0) | X3(X1,X0,X2), inference(clausification, [status(esa)], [d8_setfam_1])).
% 16.29/4.21 cnf(c5, plain, ~element(X0,powerset(powerset(X1))) | ~element(X2,powerset(powerset(X1))) | X2 = 'complements$uof$usubsets'(X1,X0) | ~X3(X1,X0,X2), inference(clausification, [status(esa)], [d8_setfam_1])).
% 16.29/4.21 cnf(c6, plain, ~X0(X1,X2,X3) | ~element(X4,powerset(X1)) | ~in(X4,X3) | in('subset$ucomplement'(X1,X4),X2), inference(clausification, [status(esa)], [d8_setfam_1])).
% 16.29/4.21 cnf(c14, plain, ~element(X0,powerset(powerset(X1))) | element('complements$uof$usubsets'(X1,X0),powerset(powerset(X1))), inference(clausification, [status(esa)], [dt_k7_setfam_1])).
% 16.29/4.21 cnf(c15, plain, element(sK17(X0),X0), inference(clausification, [status(esa)], [existence_m1_subset_1])).
% 16.29/4.21 cnf(c17, plain, empty('empty$uset'), inference(clausification, [status(esa)], [fc1_xboole_0])).
% 16.29/4.21 cnf(c19, plain, ~element(X0,powerset(powerset(X1))) | 'complements$uof$usubsets'(X1,'complements$uof$usubsets'(X1,X0)) = X0, inference(clausification, [status(esa)], [involutiveness_k7_setfam_1])).
% 16.29/4.21 cnf(c24, plain, empty(sK27(X0)), inference(clausification, [status(esa)], [rc2_subset_1])).
% 16.29/4.21 cnf(c28, plain, ~element(X0,X1) | empty(X1) | in(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 16.29/4.21 cnf(c31, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | element(X0,X2), inference(clausification, [status(esa)], [t4_subset])).
% 16.29/4.21 cnf(c33, plain, ~empty(X0) | X0 = 'empty$uset', inference(clausification, [status(esa)], [t6_boole])).
% 16.29/4.21 cnf(c34, plain, ~in(X0,X1) | ~empty(X1), inference(clausification, [status(esa)], [t7_boole])).
% 16.29/4.21 cnf(c35, plain, ~empty(X0) | X0 = X1 | ~empty(X1), inference(clausification, [status(esa)], [t8_boole])).
% 16.29/4.21 cnf(c36, plain, element(sK49,powerset(powerset(sK48))), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.29/4.21 cnf(c37, plain, sK49 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 16.29/4.21 cnf(c38, plain, 'complements$uof$usubsets'(sK48,sK49) = 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 16.29/4.21 cnf(d0, plain, sK27(X0) = 'empty$uset', inference(resolution, [status(thm)], [c33,c24])).
% 16.29/4.21 cnf(d1, plain, sK27(X0) = X1 | ~empty(X1), inference(resolution, [status(thm)], [c35,c24])).
% 16.29/4.21 cnf(d2, plain, 'empty$uset' = X1 | ~empty(X1), inference(demodulation, [status(thm)], [d1,d0])).
% 16.29/4.21 cnf(d3, plain, in(sK17(X0),X0) | empty(X0), inference(resolution, [status(thm)], [c28,c15])).
% 16.29/4.21 cnf(d4, plain, ~in(X0,sK49) | element(X0,powerset(sK48)), inference(resolution, [status(thm)], [c31,c36])).
% 16.29/4.21 cnf(d5, plain, 'complements$uof$usubsets'(sK48,'complements$uof$usubsets'(sK48,sK49)) = sK49, inference(resolution, [status(thm)], [c19,c36])).
% 16.29/4.21 cnf(d6, plain, 'complements$uof$usubsets'(sK48,'empty$uset') = sK49, inference(demodulation, [status(thm)], [d5,c38])).
% 16.29/4.21 cnf(d7, plain, X0 != sK49 | ~element('empty$uset',powerset(powerset(sK48))) | ~element(X0,powerset(powerset(sK48))) | 'Ts6'(sK48,'empty$uset',X0), inference(superposition, [status(thm)], [d6,c4])).
% 16.29/4.21 cnf(d8, plain, element('empty$uset',powerset(powerset(sK48))) | ~element(sK49,powerset(powerset(sK48))), inference(superposition, [status(thm)], [c38,c14])).
% 16.29/4.21 cnf(d9, plain, element('empty$uset',powerset(powerset(sK48))), inference(resolution, [status(thm)], [c36,d8])).
% 16.29/4.21 cnf(d10, plain, X0 != sK49 | ~element(X0,powerset(powerset(sK48))) | 'Ts6'(sK48,'empty$uset',X0), inference(resolution, [status(thm)], [d9,d7])).
% 16.29/4.21 cnf(d11, plain, ~element(sK49,powerset(powerset(sK48))) | 'Ts6'(sK48,'empty$uset',sK49), inference(equality_resolution, [status(thm)], [d10])).
% 16.29/4.21 cnf(d12, plain, 'Ts6'(sK48,'empty$uset',sK49), inference(resolution, [status(thm)], [c36,d11])).
% 16.29/4.21 cnf(d13, plain, ~in(X0,sK49) | in('subset$ucomplement'(sK48,X0),'empty$uset') | ~element(X0,powerset(sK48)), inference(resolution, [status(thm)], [d12,c6])).
% 16.29/4.21 cnf(d14, plain, ~in(X0,sK49) | ~element(X0,powerset(sK48)) | ~empty('empty$uset'), inference(resolution, [status(thm)], [d13,c34])).
% 16.29/4.21 cnf(d15, plain, ~in(X0,sK49) | ~element(X0,powerset(sK48)), inference(resolution, [status(thm)], [c17,d14])).
% 16.29/4.21 cnf(d16, plain, ~in(X0,sK49) | ~in(X0,sK49), inference(resolution, [status(thm)], [d15,d4])).
% 16.29/4.21 cnf(d17, plain, empty(sK49), inference(resolution, [status(thm)], [d16,d3])).
% 16.29/4.21 cnf(d18, plain, 'empty$uset' = sK49, inference(resolution, [status(thm)], [d17,d2])).
% 16.29/4.21 cnf(d19, plain, 'empty$uset' != 'empty$uset', inference(demodulation, [status(thm)], [c37,d18])).
% 16.29/4.21 cnf(d20, plain, 'empty$uset' = 'complements$uof$usubsets'(sK48,X0) | ~element(X0,powerset(powerset(sK48))) | ~'Ts6'(sK48,X0,'empty$uset'), inference(resolution, [status(thm)], [d9,c5])).
% 16.29/4.21 cnf(d21, plain, 'empty$uset' = 'complements$uof$usubsets'(sK48,sK49) | ~'Ts6'(sK48,sK49,'empty$uset'), inference(resolution, [status(thm)], [d20,c36])).
% 16.29/4.21 cnf(d22, plain, 'empty$uset' = 'empty$uset' | ~'Ts6'(sK48,sK49,'empty$uset'), inference(demodulation, [status(thm)], [d21,c38])).
% 16.29/4.21 cnf(d23, plain, X0 != 'empty$uset' | ~element(sK49,powerset(powerset(sK48))) | ~element(X0,powerset(powerset(sK48))) | 'Ts6'(sK48,sK49,X0), inference(superposition, [status(thm)], [c38,c4])).
% 16.29/4.21 cnf(d24, plain, X0 != 'empty$uset' | ~element(X0,powerset(powerset(sK48))) | 'Ts6'(sK48,sK49,X0), inference(resolution, [status(thm)], [c36,d23])).
% 16.29/4.21 cnf(d25, plain, ~element('empty$uset',powerset(powerset(sK48))) | 'Ts6'(sK48,sK49,'empty$uset'), inference(equality_resolution, [status(thm)], [d24])).
% 16.29/4.21 cnf(d26, plain, 'Ts6'(sK48,sK49,'empty$uset'), inference(resolution, [status(thm)], [d9,d25])).
% 16.29/4.21 cnf(d27, plain, 'empty$uset' = 'empty$uset', inference(resolution, [status(thm)], [d26,d22])).
% 16.29/4.21 cnf(d28, plain, $false, inference(resolution, [status(thm)], [d27,d19])).
% 16.29/4.21 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------