%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU189+2 : 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 : n006.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 08:41:13 AM UTC 2026
% Result : Theorem 19.05s 5.37s
% Output : CNFRefutation 19.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU189+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n006.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 08:47:10 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.05/5.37 % SZS status Theorem for theBenchmark.p
% 19.05/5.37 % SZS output start CNFRefutation for theBenchmark.p
% 19.05/5.37 fof(d1_xboole_0, axiom, ! [X0] : ((X0 = 'empty$uset' <=> ! [X1] : ~in(X1,X0)))).
% 19.05/5.37 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))).
% 19.05/5.37 fof(d5_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : in('ordered$upair'(X3,X2),X0)))))))).
% 19.05/5.37 fof(d6_relat_1, axiom, ! [X0] : ((relation(X0) => 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0))))).
% 19.05/5.37 fof(fc1_xboole_0, axiom, empty('empty$uset')).
% 19.05/5.37 fof(fc5_relat_1, axiom, ! [X0] : (((~empty(X0) & relation(X0)) => ~empty('relation$udom'(X0))))).
% 19.05/5.37 fof(fc6_relat_1, axiom, ! [X0] : (((~empty(X0) & relation(X0)) => ~empty('relation$urng'(X0))))).
% 19.05/5.37 fof(t1_boole, axiom, ! [X0] : 'set$uunion2'(X0,'empty$uset') = X0).
% 19.05/5.37 fof(t60_relat_1, lemma, ('relation$udom'('empty$uset') = 'empty$uset' & 'relation$urng'('empty$uset') = 'empty$uset')).
% 19.05/5.37 fof(t6_boole, axiom, ! [X0] : ((empty(X0) => X0 = 'empty$uset'))).
% 19.05/5.37 fof(t65_relat_1, conjecture, ! [X0] : ((relation(X0) => ('relation$udom'(X0) = 'empty$uset' <=> 'relation$urng'(X0) = 'empty$uset')))).
% 19.05/5.37 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((relation(X0) => ('relation$udom'(X0) = 'empty$uset' <=> 'relation$urng'(X0) = 'empty$uset'))), inference(negate_conjecture, [status(cth)], [t65_relat_1])).
% 19.05/5.37 cnf(c31, plain, X0 != 'empty$uset' | ~in(X1,X0), inference(clausification, [status(esa)], [d1_xboole_0])).
% 19.05/5.37 cnf(c54, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 19.05/5.37 cnf(c55, plain, X0 = 'set$uunion2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 19.05/5.37 cnf(c123, plain, ~relation(X0) | X1 != 'relation$urng'(X0) | in(X2,X1) | ~in('ordered$upair'(X3,X2),X0), inference(clausification, [status(esa)], [d5_relat_1])).
% 19.05/5.37 cnf(c125, plain, ~relation(X0) | X1 = 'relation$urng'(X0) | in(sK107(X0,X1),X1) | in('ordered$upair'(sK109(X0,X1),sK107(X0,X1)),X0), inference(clausification, [status(esa)], [d5_relat_1])).
% 19.05/5.37 cnf(c130, plain, ~relation(X0) | 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0)), inference(clausification, [status(esa)], [d6_relat_1])).
% 19.05/5.37 cnf(c172, plain, empty('empty$uset'), inference(clausification, [status(esa)], [fc1_xboole_0])).
% 19.05/5.37 cnf(c182, plain, empty(X0) | ~relation(X0) | ~empty('relation$udom'(X0)), inference(clausification, [status(esa)], [fc5_relat_1])).
% 19.05/5.37 cnf(c183, plain, empty(X0) | ~relation(X0) | ~empty('relation$urng'(X0)), inference(clausification, [status(esa)], [fc6_relat_1])).
% 19.05/5.37 cnf(c242, plain, 'set$uunion2'(X0,'empty$uset') = X0, inference(clausification, [status(esa)], [t1_boole])).
% 19.05/5.37 cnf(c307, plain, 'relation$udom'('empty$uset') = 'empty$uset', inference(clausification, [status(esa)], [t60_relat_1])).
% 19.05/5.37 cnf(c308, plain, 'relation$urng'('empty$uset') = 'empty$uset', inference(clausification, [status(esa)], [t60_relat_1])).
% 19.05/5.37 cnf(c316, plain, ~empty(X0) | X0 = 'empty$uset', inference(clausification, [status(esa)], [t6_boole])).
% 19.05/5.37 cnf(c333, plain, relation(sK405), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.05/5.37 cnf(c335, plain, 'relation$udom'(sK405) = 'empty$uset' | 'relation$urng'(sK405) = 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 19.05/5.37 cnf(c336, plain, 'relation$urng'(sK405) != 'empty$uset' | 'relation$udom'(sK405) != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 19.05/5.37 cnf(d0, plain, ~in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [c31])).
% 19.05/5.37 cnf(d1, plain, X0 != 'empty$uset' | in(X1,X0) | ~in('ordered$upair'(X2,X1),sK405) | ~relation(sK405) | 'relation$udom'(sK405) = 'empty$uset', inference(superposition, [status(thm)], [c335,c123])).
% 19.05/5.37 cnf(d2, plain, X0 != 'empty$uset' | 'relation$udom'(sK405) = 'empty$uset' | in(X1,X0) | ~in('ordered$upair'(X2,X1),sK405), inference(resolution, [status(thm)], [c333,d1])).
% 19.05/5.37 cnf(d3, plain, 'relation$udom'(sK405) = 'empty$uset' | in(X0,'empty$uset') | ~in('ordered$upair'(X1,X0),sK405), inference(equality_resolution, [status(thm)], [d2])).
% 19.05/5.37 cnf(d4, plain, 'relation$udom'(sK405) = 'empty$uset' | ~in('ordered$upair'(X0,X1),sK405), inference(resolution, [status(thm)], [d0,d3])).
% 19.05/5.37 cnf(d5, plain, 'relation$udom'(sK405) = 'empty$uset' | X0 = 'relation$urng'(sK405) | in(sK107(sK405,X0),X0) | ~relation(sK405), inference(resolution, [status(thm)], [d4,c125])).
% 19.05/5.37 cnf(d6, plain, X0 = 'relation$urng'(sK405) | 'relation$udom'(sK405) = 'empty$uset' | in(sK107(sK405,X0),X0), inference(resolution, [status(thm)], [c333,d5])).
% 19.05/5.37 cnf(d7, plain, 'empty$uset' = 'relation$urng'(sK405) | 'relation$udom'(sK405) = 'empty$uset', inference(resolution, [status(thm)], [d6,d0])).
% 19.05/5.37 cnf(d8, plain, ~empty('empty$uset') | empty(sK405) | ~relation(sK405) | 'relation$udom'(sK405) = 'empty$uset', inference(superposition, [status(thm)], [d7,c183])).
% 19.05/5.37 cnf(d9, plain, 'relation$udom'(sK405) = 'empty$uset' | ~empty('empty$uset') | empty(sK405), inference(resolution, [status(thm)], [c333,d8])).
% 19.05/5.37 cnf(d10, plain, 'relation$udom'(sK405) = 'empty$uset' | empty(sK405), inference(resolution, [status(thm)], [c172,d9])).
% 19.05/5.37 cnf(d11, plain, 'relation$udom'(sK405) = 'empty$uset' | sK405 = 'empty$uset', inference(resolution, [status(thm)], [d10,c316])).
% 19.05/5.37 cnf(d12, plain, ~empty('empty$uset') | empty(sK405) | ~relation(sK405) | sK405 = 'empty$uset', inference(superposition, [status(thm)], [d11,c182])).
% 19.05/5.37 cnf(d13, plain, sK405 = 'empty$uset' | ~empty('empty$uset') | empty(sK405), inference(resolution, [status(thm)], [c333,d12])).
% 19.05/5.37 cnf(d14, plain, sK405 = 'empty$uset' | empty(sK405), inference(resolution, [status(thm)], [c172,d13])).
% 19.05/5.37 cnf(d15, plain, sK405 = 'empty$uset' | sK405 = 'empty$uset', inference(resolution, [status(thm)], [d14,c316])).
% 19.05/5.37 cnf(d16, plain, 'relation$ufield'(sK405) = 'set$uunion2'('relation$udom'(sK405),'relation$urng'(sK405)), inference(resolution, [status(thm)], [c130,c333])).
% 19.05/5.37 cnf(d17, plain, X0 != 'relation$ufield'(sK405) | 'Ts48'('relation$udom'(sK405),'relation$urng'(sK405),X0), inference(superposition, [status(thm)], [d16,c54])).
% 19.05/5.37 cnf(d18, plain, 'Ts48'('relation$udom'(sK405),'relation$urng'(sK405),'relation$ufield'(sK405)), inference(equality_resolution, [status(thm)], [d17])).
% 19.05/5.37 cnf(d19, plain, 'Ts48'('relation$udom'('empty$uset'),'relation$urng'(sK405),'relation$ufield'(sK405)), inference(demodulation, [status(thm)], [d18,d15])).
% 19.05/5.37 cnf(d20, plain, 'Ts48'('relation$udom'('empty$uset'),'relation$urng'('empty$uset'),'relation$ufield'(sK405)), inference(demodulation, [status(thm)], [d19,d15])).
% 19.05/5.37 cnf(d21, plain, 'Ts48'('relation$udom'('empty$uset'),'relation$urng'('empty$uset'),'relation$ufield'('empty$uset')), inference(demodulation, [status(thm)], [d20,d15])).
% 19.05/5.37 cnf(d22, plain, 'Ts48'('empty$uset','relation$urng'('empty$uset'),'relation$ufield'('empty$uset')), inference(demodulation, [status(thm)], [d21,c307])).
% 19.05/5.37 cnf(d23, plain, 'Ts48'('empty$uset','empty$uset','relation$ufield'('empty$uset')), inference(demodulation, [status(thm)], [d22,c308])).
% 19.05/5.37 cnf(d24, plain, 'relation$ufield'('empty$uset') = 'set$uunion2'('empty$uset','empty$uset'), inference(resolution, [status(thm)], [d23,c55])).
% 19.05/5.37 cnf(d25, plain, 'relation$ufield'('empty$uset') = 'empty$uset', inference(demodulation, [status(thm)], [d24,c242])).
% 19.05/5.37 cnf(d26, plain, 'Ts48'('empty$uset','empty$uset','empty$uset'), inference(demodulation, [status(thm)], [d23,d25])).
% 19.05/5.37 cnf(d27, plain, 'empty$uset' = 'set$uunion2'('empty$uset','empty$uset'), inference(resolution, [status(thm)], [d26,c55])).
% 19.05/5.37 cnf(d28, plain, 'empty$uset' = 'empty$uset', inference(demodulation, [status(thm)], [d27,c242])).
% 19.05/5.37 cnf(d29, plain, 'relation$udom'('empty$uset') != 'empty$uset' | 'relation$urng'(sK405) != 'empty$uset', inference(demodulation, [status(thm)], [c336,d15])).
% 19.05/5.37 cnf(d30, plain, 'relation$udom'('empty$uset') != 'empty$uset' | 'relation$urng'('empty$uset') != 'empty$uset', inference(demodulation, [status(thm)], [d29,d15])).
% 19.05/5.37 cnf(d31, plain, 'empty$uset' != 'empty$uset' | 'relation$urng'('empty$uset') != 'empty$uset', inference(demodulation, [status(thm)], [d30,c307])).
% 19.05/5.37 cnf(d32, plain, 'empty$uset' != 'empty$uset' | 'empty$uset' != 'empty$uset', inference(demodulation, [status(thm)], [d31,c308])).
% 19.05/5.37 cnf(d33, plain, 'empty$uset' != 'empty$uset', inference(resolution, [status(thm)], [d28,d32])).
% 19.05/5.37 cnf(d34, plain, $false, inference(resolution, [status(thm)], [d33,d28])).
% 19.05/5.37 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------