%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU249+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 : n013.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 08:41:26 AM UTC 2026
% Result : Theorem 57.91s 15.16s
% Output : CNFRefutation 57.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU249+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 08:58:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.91/15.16 % SZS status Theorem for theBenchmark.p
% 57.91/15.16 % SZS output start CNFRefutation for theBenchmark.p
% 57.91/15.16 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)).
% 57.91/15.16 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)).
% 57.91/15.16 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))).
% 57.91/15.16 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 57.91/15.16 fof(d6_relat_1, axiom, ! [X0] : ((relation(X0) => 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0))))).
% 57.91/15.16 fof(dt_k2_wellord1, axiom, ! [X0] : ! [X1] : ((relation(X0) => relation('relation$urestriction'(X0,X1))))).
% 57.91/15.16 fof(dt_k7_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X0) => relation('relation$udom$urestriction'(X0,X1))))).
% 57.91/15.16 fof(l29_wellord1, axiom, ! [X0] : ! [X1] : ((relation(X1) => subset('relation$udom'('relation$urng$urestriction'(X0,X1)),'relation$udom'(X1))))).
% 57.91/15.16 fof(t119_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X1) => 'relation$urng'('relation$urng$urestriction'(X0,X1)) = 'set$uintersection2'('relation$urng'(X1),X0)))).
% 57.91/15.16 fof(t18_wellord1, axiom, ! [X0] : ! [X1] : ((relation(X1) => 'relation$urestriction'(X1,X0) = 'relation$urng$urestriction'(X0,'relation$udom$urestriction'(X1,X0))))).
% 57.91/15.16 fof(t1_boole, axiom, ! [X0] : 'set$uunion2'(X0,'empty$uset') = X0).
% 57.91/15.16 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 57.91/15.16 fof(t3_subset, axiom, ! [X0] : ! [X1] : ((element(X0,powerset(X1)) <=> subset(X0,X1)))).
% 57.91/15.16 fof(t4_subset, axiom, ! [X0] : ! [X1] : ! [X2] : (((in(X0,X1) & element(X1,powerset(X2))) => element(X0,X2)))).
% 57.91/15.16 fof(t5_subset, axiom, ! [X0] : ! [X1] : ! [X2] : ~((in(X0,X1) & (element(X1,powerset(X2)) & empty(X2))))).
% 57.91/15.16 fof(t6_boole, axiom, ! [X0] : ((empty(X0) => X0 = 'empty$uset'))).
% 57.91/15.16 fof(t90_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X1) => 'relation$udom'('relation$udom$urestriction'(X1,X0)) = 'set$uintersection2'('relation$udom'(X1),X0)))).
% 57.91/15.16 fof(t99_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X1) => subset('relation$urng'('relation$udom$urestriction'(X1,X0)),'relation$urng'(X1))))).
% 57.91/15.16 fof(t19_wellord1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$ufield'('relation$urestriction'(X2,X1))) => (in(X0,'relation$ufield'(X2)) & in(X0,X1)))))).
% 57.91/15.16 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$ufield'('relation$urestriction'(X2,X1))) => (in(X0,'relation$ufield'(X2)) & in(X0,X1))))), inference(negate_conjecture, [status(cth)], [t19_wellord1])).
% 57.91/15.16 cnf(c5, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 57.91/15.16 cnf(c6, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 57.91/15.16 cnf(c7, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 57.91/15.16 cnf(c9, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1) | in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 57.91/15.16 cnf(c10, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1), inference(clausification, [status(esa)], [d2_xboole_0])).
% 57.91/15.16 cnf(c18, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 57.91/15.16 cnf(c20, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])).
% 57.91/15.16 cnf(c29, plain, ~relation(X0) | 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0)), inference(clausification, [status(esa)], [d6_relat_1])).
% 57.91/15.16 cnf(c31, plain, ~relation(X0) | relation('relation$urestriction'(X0,X1)), inference(clausification, [status(esa)], [dt_k2_wellord1])).
% 57.91/15.16 cnf(c32, plain, ~relation(X0) | relation('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [dt_k7_relat_1])).
% 57.91/15.16 cnf(c44, plain, ~relation(X0) | subset('relation$udom'('relation$urng$urestriction'(X1,X0)),'relation$udom'(X0)), inference(clausification, [status(esa)], [l29_wellord1])).
% 57.91/15.16 cnf(c56, plain, ~relation(X0) | 'relation$urng'('relation$urng$urestriction'(X1,X0)) = 'set$uintersection2'('relation$urng'(X0),X1), inference(clausification, [status(esa)], [t119_relat_1])).
% 57.91/15.16 cnf(c58, plain, ~relation(X0) | 'relation$urestriction'(X0,X1) = 'relation$urng$urestriction'(X1,'relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [t18_wellord1])).
% 57.91/15.16 cnf(c59, plain, 'set$uunion2'(X0,'empty$uset') = X0, inference(clausification, [status(esa)], [t1_boole])).
% 57.91/15.16 cnf(c62, plain, ~element(X0,X1) | empty(X1) | in(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 57.91/15.16 cnf(c64, plain, element(X0,powerset(X1)) | ~subset(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 57.91/15.16 cnf(c65, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | element(X0,X2), inference(clausification, [status(esa)], [t4_subset])).
% 57.91/15.16 cnf(c66, plain, ~in(X0,X1) | ~element(X1,powerset(X2)) | ~empty(X2), inference(clausification, [status(esa)], [t5_subset])).
% 57.91/15.16 cnf(c67, plain, ~empty(X0) | X0 = 'empty$uset', inference(clausification, [status(esa)], [t6_boole])).
% 57.91/15.16 cnf(c70, plain, ~relation(X0) | 'relation$udom'('relation$udom$urestriction'(X0,X1)) = 'set$uintersection2'('relation$udom'(X0),X1), inference(clausification, [status(esa)], [t90_relat_1])).
% 57.91/15.16 cnf(c71, plain, ~relation(X0) | subset('relation$urng'('relation$udom$urestriction'(X0,X1)),'relation$urng'(X0)), inference(clausification, [status(esa)], [t99_relat_1])).
% 57.91/15.16 cnf(c72, plain, relation(sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 57.91/15.16 cnf(c73, plain, in(sK81,'relation$ufield'('relation$urestriction'(sK83,sK82))), inference(clausification, [status(esa)], [negated_conjecture])).
% 57.91/15.16 cnf(c74, plain, ~in(sK81,'relation$ufield'(sK83)) | ~in(sK81,sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 57.91/15.16 cnf(d0, plain, 'Ts8'(X0,X1,'set$uunion2'(X0,X1)), inference(equality_resolution, [status(thm)], [c7])).
% 57.91/15.16 cnf(d1, plain, in(X0,'set$uunion2'(X1,X2)) | ~in(X0,X1), inference(resolution, [status(thm)], [c10,d0])).
% 57.91/15.16 cnf(d2, plain, in(X1,'relation$ufield'(X0)) | ~in(X1,'relation$udom'(X0)) | ~relation(X0), inference(superposition, [status(thm)], [c29,d1])).
% 57.91/15.16 cnf(d3, plain, 'Ts8'(X0,X1,'set$uunion2'(X1,X0)), inference(superposition, [status(thm)], [c5,d0])).
% 57.91/15.16 cnf(d4, plain, in(X0,'set$uunion2'(X1,X2)) | ~in(X0,X2), inference(resolution, [status(thm)], [c10,d3])).
% 57.91/15.16 cnf(d5, plain, in(X1,'relation$ufield'(X0)) | ~in(X1,'relation$urng'(X0)) | ~relation(X0), inference(superposition, [status(thm)], [c29,d4])).
% 57.91/15.16 cnf(d6, plain, ~in(X0,X1) | element(X0,X2) | ~subset(X1,X2), inference(resolution, [status(thm)], [c65,c64])).
% 57.91/15.16 cnf(d7, plain, ~in(X0,'relation$urng'('relation$udom$urestriction'(X1,X2))) | element(X0,'relation$urng'(X1)) | ~relation(X1), inference(resolution, [status(thm)], [d6,c71])).
% 57.91/15.16 cnf(d8, plain, ~in(X0,'set$uunion2'(X1,X2)) | in(X0,X1) | in(X0,X2), inference(resolution, [status(thm)], [c9,d3])).
% 57.91/15.16 cnf(d9, plain, ~in(X1,'relation$ufield'(X0)) | in(X1,'relation$urng'(X0)) | in(X1,'relation$udom'(X0)) | ~relation(X0), inference(superposition, [status(thm)], [c29,d8])).
% 57.91/15.16 cnf(d10, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | in(sK81,'relation$urng'('relation$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d9,c73])).
% 57.91/15.16 cnf(d11, plain, 'Ts14'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c18])).
% 57.91/15.16 cnf(d12, plain, 'Ts14'(X0,X1,'set$uintersection2'(X1,X0)), inference(superposition, [status(thm)], [c6,d11])).
% 57.91/15.16 cnf(d13, plain, ~in(X0,'set$uintersection2'(X1,X2)) | in(X0,X2), inference(resolution, [status(thm)], [c20,d12])).
% 57.91/15.16 cnf(d14, plain, 'relation$urng'('relation$urestriction'(X1,X0)) = 'set$uintersection2'('relation$urng'('relation$udom$urestriction'(X1,X0)),X0) | ~relation('relation$udom$urestriction'(X1,X0)) | ~relation(X1), inference(superposition, [status(thm)], [c58,c56])).
% 57.91/15.16 cnf(d15, plain, 'relation$urng'('relation$urestriction'(X0,X1)) = 'set$uintersection2'(X1,'relation$urng'('relation$udom$urestriction'(X0,X1))) | ~relation(X0) | ~relation('relation$udom$urestriction'(X0,X1)), inference(demodulation, [status(thm)], [d14,c6])).
% 57.91/15.16 cnf(d16, plain, ~in(X2,'relation$urng'('relation$urestriction'(X1,X0))) | in(X2,'relation$urng'('relation$udom$urestriction'(X1,X0))) | ~relation(X1) | ~relation('relation$udom$urestriction'(X1,X0)), inference(superposition, [status(thm)], [d15,d13])).
% 57.91/15.16 cnf(d17, plain, in(sK81,'relation$urng'('relation$udom$urestriction'(sK83,sK82))) | ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d16,d10])).
% 57.91/15.16 cnf(d18, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | in(sK81,'relation$urng'('relation$udom$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d17])).
% 57.91/15.16 cnf(d19, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [d18,d7])).
% 57.91/15.16 cnf(d20, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d19])).
% 57.91/15.16 cnf(d21, plain, ~in(X0,X1) | ~empty(X2) | ~subset(X1,X2), inference(resolution, [status(thm)], [c66,c64])).
% 57.91/15.16 cnf(d22, plain, subset('relation$udom'('relation$urestriction'(X1,X0)),'relation$udom'('relation$udom$urestriction'(X1,X0))) | ~relation('relation$udom$urestriction'(X1,X0)) | ~relation(X1), inference(superposition, [status(thm)], [c58,c44])).
% 57.91/15.16 cnf(d23, plain, ~relation(X0) | ~relation('relation$udom$urestriction'(X0,X1)) | ~in(X2,'relation$udom'('relation$urestriction'(X0,X1))) | ~empty('relation$udom'('relation$udom$urestriction'(X0,X1))), inference(resolution, [status(thm)], [d22,d21])).
% 57.91/15.16 cnf(d24, plain, ~empty('relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [d23,d20])).
% 57.91/15.16 cnf(d25, plain, ~empty('relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d24])).
% 57.91/15.16 cnf(d26, plain, ~empty('set$uintersection2'('relation$udom'(sK83),sK82)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)) | ~relation(sK83), inference(superposition, [status(thm)], [c70,d25])).
% 57.91/15.16 cnf(d27, plain, ~empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83) | element(sK81,'relation$urng'(sK83)), inference(demodulation, [status(thm)], [d26,c6])).
% 57.91/15.16 cnf(d28, plain, ~empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d27])).
% 57.91/15.16 cnf(d29, plain, ~relation(X0) | ~relation('relation$udom$urestriction'(X0,X1)) | ~in(X2,'relation$udom'('relation$urestriction'(X0,X1))) | element(X2,'relation$udom'('relation$udom$urestriction'(X0,X1))), inference(resolution, [status(thm)], [d22,d6])).
% 57.91/15.16 cnf(d30, plain, ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [d29,d20])).
% 57.91/15.16 cnf(d31, plain, ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$udom'('relation$udom$urestriction'(sK83,sK82))) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d30])).
% 57.91/15.16 cnf(d32, plain, element(sK81,'set$uintersection2'('relation$udom'(sK83),sK82)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)) | ~relation(sK83), inference(superposition, [status(thm)], [c70,d31])).
% 57.91/15.16 cnf(d33, plain, ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83) | element(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))) | element(sK81,'relation$urng'(sK83)), inference(demodulation, [status(thm)], [d32,c6])).
% 57.91/15.16 cnf(d34, plain, ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d33])).
% 57.91/15.16 cnf(d35, plain, ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)) | in(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))) | empty('set$uintersection2'(sK82,'relation$udom'(sK83))), inference(resolution, [status(thm)], [d34,c62])).
% 57.91/15.16 cnf(d36, plain, empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)) | in(sK81,'relation$udom'(sK83)), inference(resolution, [status(thm)], [d35,d13])).
% 57.91/15.16 cnf(d37, plain, in(sK81,'relation$udom'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [d36,d28])).
% 57.91/15.16 cnf(d38, plain, in(sK81,'relation$udom'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)) | ~relation(sK83), inference(resolution, [status(thm)], [d37,c32])).
% 57.91/15.16 cnf(d39, plain, in(sK81,'relation$udom'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d38])).
% 57.91/15.16 cnf(d40, plain, in(sK81,'relation$udom'(sK83)) | element(sK81,'relation$urng'(sK83)) | ~relation(sK83), inference(resolution, [status(thm)], [d39,c31])).
% 57.91/15.16 cnf(d41, plain, in(sK81,'relation$udom'(sK83)) | element(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d40])).
% 57.91/15.16 cnf(d42, plain, in(sK81,'relation$udom'(sK83)) | in(sK81,'relation$urng'(sK83)) | empty('relation$urng'(sK83)), inference(resolution, [status(thm)], [d41,c62])).
% 57.91/15.16 cnf(d43, plain, 'set$uunion2'(X1,X0) = X1 | ~empty(X0), inference(superposition, [status(thm)], [c67,c59])).
% 57.91/15.16 cnf(d44, plain, 'relation$ufield'(X0) = 'relation$udom'(X0) | ~empty('relation$urng'(X0)) | ~relation(X0), inference(superposition, [status(thm)], [c29,d43])).
% 57.91/15.16 cnf(d45, plain, ~in(sK81,'relation$udom'(sK83)) | ~in(sK81,sK82) | ~empty('relation$urng'(sK83)) | ~relation(sK83), inference(superposition, [status(thm)], [d44,c74])).
% 57.91/15.16 cnf(d46, plain, ~in(sK81,'relation$udom'(sK83)) | ~in(sK81,sK82) | ~empty('relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d45])).
% 57.91/15.16 cnf(d47, plain, ~in(X0,'relation$urng'('relation$udom$urestriction'(X1,X2))) | ~empty('relation$urng'(X1)) | ~relation(X1), inference(resolution, [status(thm)], [d21,c71])).
% 57.91/15.16 cnf(d48, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~empty('relation$urng'(sK83)) | ~relation(sK83), inference(resolution, [status(thm)], [d18,d47])).
% 57.91/15.16 cnf(d49, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d48])).
% 57.91/15.16 cnf(d50, plain, ~empty('relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d23,d49])).
% 57.91/15.16 cnf(d51, plain, ~empty('relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d50])).
% 57.91/15.16 cnf(d52, plain, ~empty('set$uintersection2'('relation$udom'(sK83),sK82)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83), inference(superposition, [status(thm)], [c70,d51])).
% 57.91/15.16 cnf(d53, plain, ~empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83), inference(demodulation, [status(thm)], [d52,c6])).
% 57.91/15.16 cnf(d54, plain, ~empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d53])).
% 57.91/15.16 cnf(d55, plain, ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d29,d49])).
% 57.91/15.16 cnf(d56, plain, ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$udom'('relation$udom$urestriction'(sK83,sK82))), inference(resolution, [status(thm)], [c72,d55])).
% 57.91/15.16 cnf(d57, plain, element(sK81,'set$uintersection2'('relation$udom'(sK83),sK82)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83), inference(superposition, [status(thm)], [c70,d56])).
% 57.91/15.16 cnf(d58, plain, ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83) | element(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))), inference(demodulation, [status(thm)], [d57,c6])).
% 57.91/15.16 cnf(d59, plain, ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))), inference(resolution, [status(thm)], [c72,d58])).
% 57.91/15.16 cnf(d60, plain, ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))) | empty('set$uintersection2'(sK82,'relation$udom'(sK83))), inference(resolution, [status(thm)], [d59,c62])).
% 57.91/15.16 cnf(d61, plain, empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,'relation$udom'(sK83)), inference(resolution, [status(thm)], [d60,d13])).
% 57.91/15.16 cnf(d62, plain, in(sK81,'relation$udom'(sK83)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d61,d54])).
% 57.91/15.16 cnf(d63, plain, in(sK81,'relation$udom'(sK83)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation(sK83), inference(resolution, [status(thm)], [d62,c32])).
% 57.91/15.16 cnf(d64, plain, in(sK81,'relation$udom'(sK83)) | ~empty('relation$urng'(sK83)) | ~relation('relation$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d63])).
% 57.91/15.16 cnf(d65, plain, in(sK81,'relation$udom'(sK83)) | ~empty('relation$urng'(sK83)) | ~relation(sK83), inference(resolution, [status(thm)], [d64,c31])).
% 57.91/15.16 cnf(d66, plain, in(sK81,'relation$udom'(sK83)) | ~empty('relation$urng'(sK83)), inference(resolution, [status(thm)], [c72,d65])).
% 57.91/15.16 cnf(d67, plain, ~empty('relation$urng'(sK83)) | ~in(sK81,sK82) | ~empty('relation$urng'(sK83)), inference(resolution, [status(thm)], [d66,d46])).
% 57.91/15.16 cnf(d68, plain, ~in(X0,'set$uintersection2'(X1,X2)) | in(X0,X1), inference(resolution, [status(thm)], [c20,d11])).
% 57.91/15.16 cnf(d69, plain, ~in(X2,'relation$urng'('relation$urestriction'(X1,X0))) | in(X2,X0) | ~relation(X1) | ~relation('relation$udom$urestriction'(X1,X0)), inference(superposition, [status(thm)], [d15,d68])).
% 57.91/15.16 cnf(d70, plain, in(sK81,sK82) | ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d69,d10])).
% 57.91/15.16 cnf(d71, plain, in(sK81,'relation$udom'('relation$urestriction'(sK83,sK82))) | in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d70])).
% 57.91/15.16 cnf(d72, plain, ~empty('relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d23,d71])).
% 57.91/15.16 cnf(d73, plain, in(sK81,sK82) | ~empty('relation$udom'('relation$udom$urestriction'(sK83,sK82))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d72])).
% 57.91/15.16 cnf(d74, plain, ~empty('set$uintersection2'('relation$udom'(sK83),sK82)) | in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83), inference(superposition, [status(thm)], [c70,d73])).
% 57.91/15.16 cnf(d75, plain, in(sK81,sK82) | ~empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83), inference(demodulation, [status(thm)], [d74,c6])).
% 57.91/15.16 cnf(d76, plain, in(sK81,sK82) | ~empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d75])).
% 57.91/15.16 cnf(d77, plain, ~relation(sK83) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$udom'('relation$udom$urestriction'(sK83,sK82))) | in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d29,d71])).
% 57.91/15.16 cnf(d78, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'relation$udom'('relation$udom$urestriction'(sK83,sK82))), inference(resolution, [status(thm)], [c72,d77])).
% 57.91/15.16 cnf(d79, plain, element(sK81,'set$uintersection2'('relation$udom'(sK83),sK82)) | in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83), inference(superposition, [status(thm)], [c70,d78])).
% 57.91/15.16 cnf(d80, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | ~relation(sK83) | element(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))), inference(demodulation, [status(thm)], [d79,c6])).
% 57.91/15.16 cnf(d81, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | element(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))), inference(resolution, [status(thm)], [c72,d80])).
% 57.91/15.16 cnf(d82, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,'set$uintersection2'(sK82,'relation$udom'(sK83))) | empty('set$uintersection2'(sK82,'relation$udom'(sK83))), inference(resolution, [status(thm)], [d81,c62])).
% 57.91/15.16 cnf(d83, plain, in(sK81,sK82) | empty('set$uintersection2'(sK82,'relation$udom'(sK83))) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,sK82), inference(resolution, [status(thm)], [d82,d68])).
% 57.91/15.16 cnf(d84, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)) | in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation('relation$udom$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [d83,d76])).
% 57.91/15.16 cnf(d85, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)) | ~relation(sK83), inference(resolution, [status(thm)], [d84,c32])).
% 57.91/15.16 cnf(d86, plain, in(sK81,sK82) | ~relation('relation$urestriction'(sK83,sK82)), inference(resolution, [status(thm)], [c72,d85])).
% 57.91/15.16 cnf(d87, plain, in(sK81,sK82) | ~relation(sK83), inference(resolution, [status(thm)], [d86,c31])).
% 57.91/15.16 cnf(d88, plain, in(sK81,sK82), inference(resolution, [status(thm)], [c72,d87])).
% 57.91/15.16 cnf(d89, plain, ~empty('relation$urng'(sK83)), inference(resolution, [status(thm)], [d88,d67])).
% 57.91/15.16 cnf(d90, plain, in(sK81,'relation$udom'(sK83)) | in(sK81,'relation$urng'(sK83)), inference(resolution, [status(thm)], [d89,d42])).
% 57.91/15.16 cnf(d91, plain, in(sK81,'relation$udom'(sK83)) | in(sK81,'relation$ufield'(sK83)) | ~relation(sK83), inference(resolution, [status(thm)], [d90,d5])).
% 57.91/15.16 cnf(d92, plain, in(sK81,'relation$ufield'(sK83)) | in(sK81,'relation$udom'(sK83)), inference(resolution, [status(thm)], [c72,d91])).
% 57.91/15.16 cnf(d93, plain, ~in(sK81,'relation$ufield'(sK83)), inference(resolution, [status(thm)], [d88,c74])).
% 57.91/15.16 cnf(d94, plain, in(sK81,'relation$udom'(sK83)), inference(resolution, [status(thm)], [d93,d92])).
% 57.91/15.16 cnf(d95, plain, in(sK81,'relation$ufield'(sK83)) | ~relation(sK83), inference(resolution, [status(thm)], [d94,d2])).
% 57.91/15.16 cnf(d96, plain, in(sK81,'relation$ufield'(sK83)), inference(resolution, [status(thm)], [c72,d95])).
% 57.91/15.16 cnf(d97, plain, $false, inference(resolution, [status(thm)], [d93,d96])).
% 57.91/15.16 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------