%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU367+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 : n008.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 08:41:47 AM UTC 2026
% Result : Theorem 18.85s 10.51s
% Output : CNFRefutation 18.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU367+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
% 0.18/5.44 % Computer : n008.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 09:21:32 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.85/10.51 % SZS status Theorem for theBenchmark.p
% 18.85/10.51 % SZS output start CNFRefutation for theBenchmark.p
% 18.85/10.51 fof(d11_waybel_0, axiom, ! [X0] : (((~'empty$ucarrier'(X0) & 'one$usorted$ustr'(X0)) => ! [X1] : (((~'empty$ucarrier'(X1) & 'net$ustr'(X1,X0)) => ! [X2] : (('is$ueventually$uin'(X0,X1,X2) <=> ? [X3] : ((element(X3,'the$ucarrier'(X1)) & ! [X4] : ((element(X4,'the$ucarrier'(X1)) => (related(X1,X3,X4) => in('apply$unetmap'(X0,X1,X4),X2))))))))))))).
% 18.85/10.51 fof(d12_waybel_0, axiom, ! [X0] : (((~'empty$ucarrier'(X0) & 'one$usorted$ustr'(X0)) => ! [X1] : (((~'empty$ucarrier'(X1) & 'net$ustr'(X1,X0)) => ! [X2] : (('is$uoften$uin'(X0,X1,X2) <=> ! [X3] : ((element(X3,'the$ucarrier'(X1)) => ? [X4] : ((element(X4,'the$ucarrier'(X1)) & (related(X1,X3,X4) & in('apply$unetmap'(X0,X1,X4),X2))))))))))))).
% 18.85/10.51 fof(existence_m1_subset_1, axiom, ! [X0] : ? [X1] : element(X1,X0)).
% 18.85/10.51 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 18.85/10.51 fof(t3_subset, axiom, ! [X0] : ! [X1] : ((element(X0,powerset(X1)) <=> subset(X0,X1)))).
% 18.85/10.51 fof(t4_subset, axiom, ! [X0] : ! [X1] : ! [X2] : (((in(X0,X1) & element(X1,powerset(X2))) => element(X0,X2)))).
% 18.85/10.51 fof(t5_subset, axiom, ! [X0] : ! [X1] : ! [X2] : ~((in(X0,X1) & (element(X1,powerset(X2)) & empty(X2))))).
% 18.85/10.51 fof(t8_waybel_0, conjecture, ! [X0] : (((~'empty$ucarrier'(X0) & 'one$usorted$ustr'(X0)) => ! [X1] : (((~'empty$ucarrier'(X1) & 'net$ustr'(X1,X0)) => ! [X2] : ! [X3] : ((subset(X2,X3) => (('is$ueventually$uin'(X0,X1,X2) => 'is$ueventually$uin'(X0,X1,X3)) & ('is$uoften$uin'(X0,X1,X2) => 'is$uoften$uin'(X0,X1,X3)))))))))).
% 18.85/10.51 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'empty$ucarrier'(X0) & 'one$usorted$ustr'(X0)) => ! [X1] : (((~'empty$ucarrier'(X1) & 'net$ustr'(X1,X0)) => ! [X2] : ! [X3] : ((subset(X2,X3) => (('is$ueventually$uin'(X0,X1,X2) => 'is$ueventually$uin'(X0,X1,X3)) & ('is$uoften$uin'(X0,X1,X2) => 'is$uoften$uin'(X0,X1,X3))))))))), inference(negate_conjecture, [status(cth)], [t8_waybel_0])).
% 18.85/10.51 cnf(c4, plain, X0(X1,X2,X3) | ~'net$ustr'(X2,X1) | ~'one$usorted$ustr'(X1) | 'empty$ucarrier'(X2) | ~'is$ueventually$uin'(X1,X2,X3) | 'empty$ucarrier'(X1), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c5, plain, 'is$ueventually$uin'(X0,X1,X2) | ~'net$ustr'(X1,X0) | ~'one$usorted$ustr'(X0) | 'empty$ucarrier'(X1) | ~X3(X0,X1,X2) | 'empty$ucarrier'(X0), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c6, plain, ~X0(X1,X2,X3) | element(sK12(X1,X2,X3),'the$ucarrier'(X2)), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c7, plain, ~X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | ~related(X2,sK12(X1,X2,X3),X4) | in('apply$unetmap'(X1,X2,X4),X3), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c8, plain, X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | element(sK15(X1,X2,X3,X4),'the$ucarrier'(X2)), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c9, plain, X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | related(X2,X4,sK15(X1,X2,X3,X4)), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c10, plain, X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | ~in('apply$unetmap'(X1,X2,sK15(X1,X2,X3,X4)),X3), inference(clausification, [status(esa)], [d11_waybel_0])).
% 18.85/10.51 cnf(c11, plain, ~'is$uoften$uin'(X0,X1,X2) | X3(X0,X1,X2) | ~'one$usorted$ustr'(X0) | 'empty$ucarrier'(X0) | ~'net$ustr'(X1,X0) | 'empty$ucarrier'(X1), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c12, plain, 'is$uoften$uin'(X0,X1,X2) | ~'one$usorted$ustr'(X0) | ~X3(X0,X1,X2) | 'empty$ucarrier'(X0) | ~'net$ustr'(X1,X0) | 'empty$ucarrier'(X1), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c13, plain, ~X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | element(sK21(X1,X2,X3,X4),'the$ucarrier'(X2)), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c14, plain, ~X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | related(X2,X4,sK21(X1,X2,X3,X4)), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c15, plain, ~X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | in('apply$unetmap'(X1,X2,sK21(X1,X2,X3,X4)),X3), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c16, plain, X0(X1,X2,X3) | element(sK22(X1,X2,X3),'the$ucarrier'(X2)), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c17, plain, X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X2)) | ~related(X2,sK22(X1,X2,X3),X4) | ~in('apply$unetmap'(X1,X2,X4),X3), inference(clausification, [status(esa)], [d12_waybel_0])).
% 18.85/10.51 cnf(c31, plain, element(sK50(X0),X0), inference(clausification, [status(esa)], [existence_m1_subset_1])).
% 18.85/10.51 cnf(c61, plain, ~element(X0,X1) | empty(X1) | in(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 18.85/10.51 cnf(c63, plain, element(X0,powerset(X1)) | ~subset(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 18.85/10.51 cnf(c64, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | element(X0,X2), inference(clausification, [status(esa)], [t4_subset])).
% 18.85/10.51 cnf(c65, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | ~empty(X2), inference(clausification, [status(esa)], [t5_subset])).
% 18.85/10.51 cnf(c69, plain, ~'empty$ucarrier'(sK100), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c70, plain, 'one$usorted$ustr'(sK100), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c71, plain, ~'empty$ucarrier'(sK101), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c72, plain, 'net$ustr'(sK101,sK100), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c73, plain, subset(sK102,sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c74, plain, 'is$ueventually$uin'(sK100,sK101,sK102) | 'is$uoften$uin'(sK100,sK101,sK102), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c75, plain, 'is$ueventually$uin'(sK100,sK101,sK102) | ~'is$uoften$uin'(sK100,sK101,sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c76, plain, ~'is$ueventually$uin'(sK100,sK101,sK103) | 'is$uoften$uin'(sK100,sK101,sK102), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(c77, plain, ~'is$ueventually$uin'(sK100,sK101,sK103) | ~'is$uoften$uin'(sK100,sK101,sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 18.85/10.51 cnf(d0, plain, ~in('apply$unetmap'(X0,X1,sK21(X2,X1,X3,sK22(X0,X1,X4))),X4) | ~element(sK21(X2,X1,X3,sK22(X0,X1,X4)),'the$ucarrier'(X1)) | 'Ts16'(X0,X1,X4) | ~element(sK22(X0,X1,X4),'the$ucarrier'(X1)) | ~'Ts16'(X2,X1,X3), inference(resolution, [status(thm)], [c17,c14])).
% 18.85/10.51 cnf(d1, plain, ~in(X0,X1) | element(X0,X2) | ~subset(X1,X2), inference(resolution, [status(thm)], [c64,c63])).
% 18.85/10.51 cnf(d2, plain, ~in(X0,sK102) | element(X0,sK103), inference(resolution, [status(thm)], [d1,c73])).
% 18.85/10.51 cnf(d3, plain, element('apply$unetmap'(X0,X1,sK21(X0,X1,sK102,X2)),sK103) | ~element(X2,'the$ucarrier'(X1)) | ~'Ts16'(X0,X1,sK102), inference(resolution, [status(thm)], [d2,c15])).
% 18.85/10.51 cnf(d4, plain, ~element(X0,'the$ucarrier'(X1)) | ~'Ts16'(X2,X1,sK102) | in('apply$unetmap'(X2,X1,sK21(X2,X1,sK102,X0)),sK103) | empty(sK103), inference(resolution, [status(thm)], [d3,c61])).
% 18.85/10.51 cnf(d5, plain, empty(sK103) | ~element(sK22(X0,X1,sK103),'the$ucarrier'(X1)) | ~'Ts16'(X0,X1,sK102) | ~element(sK21(X0,X1,sK102,sK22(X0,X1,sK103)),'the$ucarrier'(X1)) | ~element(sK22(X0,X1,sK103),'the$ucarrier'(X1)) | ~'Ts16'(X0,X1,sK102) | 'Ts16'(X0,X1,sK103), inference(resolution, [status(thm)], [d4,d0])).
% 18.85/10.51 cnf(d6, plain, empty(sK103) | ~element(sK22(X0,X1,sK103),'the$ucarrier'(X1)) | ~'Ts16'(X0,X1,sK102) | 'Ts16'(X0,X1,sK103) | ~element(sK22(X0,X1,sK103),'the$ucarrier'(X1)) | ~'Ts16'(X0,X1,sK102), inference(resolution, [status(thm)], [d5,c13])).
% 18.85/10.51 cnf(d7, plain, empty(sK103) | ~'Ts16'(X0,X1,sK102) | 'Ts16'(X0,X1,sK103) | 'Ts16'(X0,X1,sK103), inference(resolution, [status(thm)], [d6,c16])).
% 18.85/10.51 cnf(d8, plain, ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100) | 'Ts16'(sK100,sK101,sK102) | 'is$ueventually$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c11,c74])).
% 18.85/10.51 cnf(d9, plain, 'is$ueventually$uin'(sK100,sK101,sK102) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c69,d8])).
% 18.85/10.51 cnf(d10, plain, 'is$ueventually$uin'(sK100,sK101,sK102) | ~'net$ustr'(sK101,sK100) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c70,d9])).
% 18.85/10.51 cnf(d11, plain, 'is$ueventually$uin'(sK100,sK101,sK102) | ~'net$ustr'(sK101,sK100) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c71,d10])).
% 18.85/10.51 cnf(d12, plain, 'is$ueventually$uin'(sK100,sK101,sK102) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c72,d11])).
% 18.85/10.51 cnf(d13, plain, 'Ts16'(sK100,sK101,sK102) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100), inference(resolution, [status(thm)], [d12,c4])).
% 18.85/10.51 cnf(d14, plain, ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c69,d13])).
% 18.85/10.51 cnf(d15, plain, ~'net$ustr'(sK101,sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c70,d14])).
% 18.85/10.51 cnf(d16, plain, ~'net$ustr'(sK101,sK100) | 'Ts8'(sK100,sK101,sK102) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c71,d15])).
% 18.85/10.51 cnf(d17, plain, 'Ts8'(sK100,sK101,sK102) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c72,d16])).
% 18.85/10.51 cnf(d18, plain, ~in(X0,X1) | ~empty(X2) | ~subset(X1,X2), inference(resolution, [status(thm)], [c65,c63])).
% 18.85/10.51 cnf(d19, plain, ~in(X0,sK102) | ~empty(sK103), inference(resolution, [status(thm)], [d18,c73])).
% 18.85/10.51 cnf(d20, plain, ~empty(sK103) | ~element(X0,'the$ucarrier'(X1)) | ~'Ts16'(X2,X1,sK102), inference(resolution, [status(thm)], [d19,c15])).
% 18.85/10.51 cnf(d21, plain, ~empty(sK103) | ~element(X0,'the$ucarrier'(sK101)) | 'Ts8'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d20,d17])).
% 18.85/10.51 cnf(d22, plain, ~empty(sK103) | 'Ts8'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d21,c31])).
% 18.85/10.51 cnf(d23, plain, ~element(sK12(X0,X1,X2),'the$ucarrier'(X1)) | 'Ts8'(X3,X1,X4) | in('apply$unetmap'(X0,X1,sK15(X3,X1,X4,sK12(X0,X1,X2))),X2) | ~element(sK15(X3,X1,X4,sK12(X0,X1,X2)),'the$ucarrier'(X1)) | ~'Ts8'(X0,X1,X2), inference(resolution, [status(thm)], [c9,c7])).
% 18.85/10.51 cnf(d24, plain, ~empty(sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~element(sK15(X2,X1,X3,sK12(X0,X1,sK102)),'the$ucarrier'(X1)) | 'Ts8'(X2,X1,X3) | ~'Ts8'(X0,X1,sK102), inference(resolution, [status(thm)], [d19,d23])).
% 18.85/10.51 cnf(d25, plain, ~empty(sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | 'Ts8'(X2,X1,X3) | ~'Ts8'(X0,X1,sK102) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | 'Ts8'(X2,X1,X3), inference(resolution, [status(thm)], [d24,c8])).
% 18.85/10.51 cnf(d26, plain, ~empty(sK103) | 'Ts8'(X0,X1,X2) | ~'Ts8'(X3,X1,sK102) | ~'Ts8'(X3,X1,sK102), inference(resolution, [status(thm)], [d25,c6])).
% 18.85/10.51 cnf(d27, plain, ~empty(sK103) | 'Ts8'(X0,sK101,X1) | ~empty(sK103), inference(resolution, [status(thm)], [d26,d22])).
% 18.85/10.51 cnf(d28, plain, ~element(sK12(X0,X1,X2),'the$ucarrier'(X1)) | ~'Ts16'(X3,X1,X4) | in('apply$unetmap'(X0,X1,sK21(X3,X1,X4,sK12(X0,X1,X2))),X2) | ~element(sK21(X3,X1,X4,sK12(X0,X1,X2)),'the$ucarrier'(X1)) | ~'Ts8'(X0,X1,X2), inference(resolution, [status(thm)], [c14,c7])).
% 18.85/10.51 cnf(d29, plain, ~empty(sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~element(sK21(X2,X1,X3,sK12(X0,X1,sK102)),'the$ucarrier'(X1)) | ~'Ts8'(X0,X1,sK102) | ~'Ts16'(X2,X1,X3), inference(resolution, [status(thm)], [d19,d28])).
% 18.85/10.51 cnf(d30, plain, ~empty(sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~'Ts8'(X0,X1,sK102) | ~'Ts16'(X2,X1,X3) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~'Ts16'(X2,X1,X3), inference(resolution, [status(thm)], [d29,c13])).
% 18.85/10.51 cnf(d31, plain, ~empty(sK103) | ~'Ts8'(X0,X1,sK102) | ~'Ts16'(X2,X1,X3) | ~'Ts8'(X0,X1,sK102), inference(resolution, [status(thm)], [d30,c6])).
% 18.85/10.51 cnf(d32, plain, ~empty(sK103) | 'is$ueventually$uin'(X0,sK101,X1) | ~'net$ustr'(sK101,X0) | ~'one$usorted$ustr'(X0) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(X0), inference(resolution, [status(thm)], [d27,c5])).
% 18.85/10.51 cnf(d33, plain, ~empty(sK103) | 'is$ueventually$uin'(X0,sK101,X1) | ~'net$ustr'(sK101,X0) | ~'one$usorted$ustr'(X0) | 'empty$ucarrier'(X0), inference(resolution, [status(thm)], [c71,d32])).
% 18.85/10.51 cnf(d34, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK100) | 'is$uoften$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d33,c76])).
% 18.85/10.51 cnf(d35, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'is$uoften$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c69,d34])).
% 18.85/10.51 cnf(d36, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | 'is$uoften$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c70,d35])).
% 18.85/10.51 cnf(d37, plain, ~empty(sK103) | 'is$uoften$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c72,d36])).
% 18.85/10.51 cnf(d38, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d37,c11])).
% 18.85/10.51 cnf(d39, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c69,d38])).
% 18.85/10.51 cnf(d40, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c70,d39])).
% 18.85/10.51 cnf(d41, plain, ~empty(sK103) | ~'net$ustr'(sK101,sK100) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c71,d40])).
% 18.85/10.51 cnf(d42, plain, ~empty(sK103) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c72,d41])).
% 18.85/10.51 cnf(d43, plain, ~empty(sK103) | ~empty(sK103) | ~'Ts8'(X0,sK101,sK102), inference(resolution, [status(thm)], [d42,d31])).
% 18.85/10.51 cnf(d44, plain, ~empty(sK103) | ~empty(sK103), inference(resolution, [status(thm)], [d43,d27])).
% 18.85/10.51 cnf(d45, plain, ~'Ts16'(X0,X1,sK102) | 'Ts16'(X0,X1,sK103), inference(resolution, [status(thm)], [d44,d7])).
% 18.85/10.51 cnf(d46, plain, empty(sK103) | 'Ts16'(sK100,sK101,sK103) | 'Ts8'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d7,d17])).
% 18.85/10.51 cnf(d47, plain, empty(sK103) | 'Ts8'(sK100,sK101,sK102) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [d46,c12])).
% 18.85/10.51 cnf(d48, plain, empty(sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c69,d47])).
% 18.85/10.51 cnf(d49, plain, empty(sK103) | ~'net$ustr'(sK101,sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c70,d48])).
% 18.85/10.51 cnf(d50, plain, empty(sK103) | ~'net$ustr'(sK101,sK100) | 'Ts8'(sK100,sK101,sK102) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c71,d49])).
% 18.85/10.51 cnf(d51, plain, empty(sK103) | 'Ts8'(sK100,sK101,sK102) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c72,d50])).
% 18.85/10.51 cnf(d52, plain, empty(sK103) | 'Ts8'(sK100,sK101,sK102) | 'is$ueventually$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d51,c75])).
% 18.85/10.51 cnf(d53, plain, empty(sK103) | 'Ts8'(sK100,sK101,sK102) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100), inference(resolution, [status(thm)], [d52,c4])).
% 18.85/10.51 cnf(d54, plain, empty(sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101), inference(resolution, [status(thm)], [c69,d53])).
% 18.85/10.51 cnf(d55, plain, empty(sK103) | ~'net$ustr'(sK101,sK100) | 'Ts8'(sK100,sK101,sK102) | 'empty$ucarrier'(sK101), inference(resolution, [status(thm)], [c70,d54])).
% 18.85/10.51 cnf(d56, plain, empty(sK103) | ~'net$ustr'(sK101,sK100) | 'Ts8'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c71,d55])).
% 18.85/10.51 cnf(d57, plain, empty(sK103) | 'Ts8'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c72,d56])).
% 18.85/10.51 cnf(d58, plain, 'Ts8'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d44,d57])).
% 18.85/10.51 cnf(d59, plain, element('apply$unetmap'(X0,X1,sK15(X2,X1,X3,sK12(X0,X1,sK102))),sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~element(sK15(X2,X1,X3,sK12(X0,X1,sK102)),'the$ucarrier'(X1)) | 'Ts8'(X2,X1,X3) | ~'Ts8'(X0,X1,sK102), inference(resolution, [status(thm)], [d2,d23])).
% 18.85/10.51 cnf(d60, plain, ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~element(sK15(X2,X1,X3,sK12(X0,X1,sK102)),'the$ucarrier'(X1)) | 'Ts8'(X2,X1,X3) | ~'Ts8'(X0,X1,sK102) | in('apply$unetmap'(X0,X1,sK15(X2,X1,X3,sK12(X0,X1,sK102))),sK103) | empty(sK103), inference(resolution, [status(thm)], [d59,c61])).
% 18.85/10.51 cnf(d61, plain, in('apply$unetmap'(X0,X1,sK15(X2,X1,X3,sK12(X0,X1,sK102))),sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~element(sK15(X2,X1,X3,sK12(X0,X1,sK102)),'the$ucarrier'(X1)) | 'Ts8'(X2,X1,X3) | ~'Ts8'(X0,X1,sK102), inference(resolution, [status(thm)], [d44,d60])).
% 18.85/10.51 cnf(d62, plain, ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~element(sK15(X0,X1,sK103,sK12(X0,X1,sK102)),'the$ucarrier'(X1)) | 'Ts8'(X0,X1,sK103) | ~'Ts8'(X0,X1,sK102) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | 'Ts8'(X0,X1,sK103), inference(resolution, [status(thm)], [d61,c10])).
% 18.85/10.51 cnf(d63, plain, ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | ~'Ts8'(X0,X1,sK102) | 'Ts8'(X0,X1,sK103) | ~element(sK12(X0,X1,sK102),'the$ucarrier'(X1)) | 'Ts8'(X0,X1,sK103), inference(resolution, [status(thm)], [d62,c8])).
% 18.85/10.51 cnf(d64, plain, ~'Ts8'(X0,X1,sK102) | 'Ts8'(X0,X1,sK103) | ~'Ts8'(X0,X1,sK102), inference(resolution, [status(thm)], [d63,c6])).
% 18.85/10.51 cnf(d65, plain, 'Ts8'(sK100,sK101,sK103), inference(resolution, [status(thm)], [d64,d58])).
% 18.85/10.51 cnf(d66, plain, 'is$ueventually$uin'(sK100,sK101,sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100), inference(resolution, [status(thm)], [d65,c5])).
% 18.85/10.51 cnf(d67, plain, 'is$ueventually$uin'(sK100,sK101,sK103) | ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101), inference(resolution, [status(thm)], [c69,d66])).
% 18.85/10.51 cnf(d68, plain, 'is$ueventually$uin'(sK100,sK101,sK103) | ~'net$ustr'(sK101,sK100) | 'empty$ucarrier'(sK101), inference(resolution, [status(thm)], [c70,d67])).
% 18.85/10.51 cnf(d69, plain, 'is$ueventually$uin'(sK100,sK101,sK103) | ~'net$ustr'(sK101,sK100), inference(resolution, [status(thm)], [c71,d68])).
% 18.85/10.51 cnf(d70, plain, 'is$ueventually$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c72,d69])).
% 18.85/10.51 cnf(d71, plain, 'is$uoften$uin'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d70,c76])).
% 18.85/10.51 cnf(d72, plain, ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [d71,c11])).
% 18.85/10.51 cnf(d73, plain, ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c69,d72])).
% 18.85/10.51 cnf(d74, plain, ~'net$ustr'(sK101,sK100) | 'empty$ucarrier'(sK101) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c70,d73])).
% 18.85/10.51 cnf(d75, plain, ~'net$ustr'(sK101,sK100) | 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c71,d74])).
% 18.85/10.51 cnf(d76, plain, 'Ts16'(sK100,sK101,sK102), inference(resolution, [status(thm)], [c72,d75])).
% 18.85/10.51 cnf(d77, plain, 'Ts16'(sK100,sK101,sK103), inference(resolution, [status(thm)], [d76,d45])).
% 18.85/10.51 cnf(d78, plain, ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'empty$ucarrier'(sK100) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [d77,c12])).
% 18.85/10.51 cnf(d79, plain, ~'net$ustr'(sK101,sK100) | ~'one$usorted$ustr'(sK100) | 'empty$ucarrier'(sK101) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c69,d78])).
% 18.85/10.51 cnf(d80, plain, ~'net$ustr'(sK101,sK100) | 'empty$ucarrier'(sK101) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c70,d79])).
% 18.85/10.51 cnf(d81, plain, ~'net$ustr'(sK101,sK100) | 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c71,d80])).
% 18.85/10.51 cnf(d82, plain, 'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [c72,d81])).
% 18.85/10.51 cnf(d83, plain, ~'is$uoften$uin'(sK100,sK101,sK103), inference(resolution, [status(thm)], [d70,c77])).
% 18.85/10.51 cnf(d84, plain, $false, inference(resolution, [status(thm)], [d83,d82])).
% 18.85/10.51 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------