%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU105+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 08:40:53 AM UTC 2026
% Result : Theorem 16.23s 4.43s
% Output : CNFRefutation 16.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU105+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45 % Computer : n014.cluster.edu
% 0.12/0.45 % Model : x86_64 x86_64
% 0.12/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.45 % Memory : 8046.5625MB
% 0.12/0.45 % OS : Linux 6.8.0-71-generic
% 0.12/0.45 % CPULimit : 300
% 0.12/0.45 % WCLimit : 300
% 0.12/0.45 % DateTime : Sat Sep 26 08:36:01 UTC 2026
% 0.12/0.45 % CPUTime :
% 0.12/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.23/4.43 % SZS status Theorem for theBenchmark.p
% 16.23/4.43 % SZS output start CNFRefutation for theBenchmark.p
% 16.23/4.43 fof(commutativity_k5_xboole_0, axiom, ! [X0] : ! [X1] : 'symmetric$udifference'(X0,X1) = 'symmetric$udifference'(X1,X0)).
% 16.23/4.43 fof(t100_xboole_1, axiom, ! [X0] : ! [X1] : 'set$udifference'(X0,X1) = 'symmetric$udifference'(X0,'set$uintersection2'(X0,X1))).
% 16.23/4.43 fof(t10_finsub_1, axiom, ! [X0] : ((preboolean(X0) <=> ! [X1] : ! [X2] : (((in(X1,X0) & in(X2,X0)) => (in('set$uunion2'(X1,X2),X0) & in('set$udifference'(X1,X2),X0))))))).
% 16.23/4.43 fof(t1_subset, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => element(X0,X1)))).
% 16.23/4.43 fof(t94_xboole_1, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'symmetric$udifference'('symmetric$udifference'(X0,X1),'set$uintersection2'(X0,X1))).
% 16.23/4.43 fof(t16_finsub_1, conjecture, ! [X0] : ((~empty(X0) => (! [X1] : ((element(X1,X0) => ! [X2] : ((element(X2,X0) => (in('symmetric$udifference'(X1,X2),X0) & in('set$uintersection2'(X1,X2),X0)))))) => preboolean(X0))))).
% 16.23/4.43 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((~empty(X0) => (! [X1] : ((element(X1,X0) => ! [X2] : ((element(X2,X0) => (in('symmetric$udifference'(X1,X2),X0) & in('set$uintersection2'(X1,X2),X0)))))) => preboolean(X0)))), inference(negate_conjecture, [status(cth)], [t16_finsub_1])).
% 16.23/4.43 cnf(c8, plain, 'symmetric$udifference'(X0,X1) = 'symmetric$udifference'(X1,X0), inference(clausification, [status(esa)], [commutativity_k5_xboole_0])).
% 16.23/4.43 cnf(c52, plain, 'set$udifference'(X0,X1) = 'symmetric$udifference'(X0,'set$uintersection2'(X0,X1)), inference(clausification, [status(esa)], [t100_xboole_1])).
% 16.23/4.43 cnf(c54, plain, preboolean(X0) | ~X1(X0), inference(clausification, [status(esa)], [t10_finsub_1])).
% 16.23/4.43 cnf(c57, plain, X0(X1) | in(sK58(X1),X1), inference(clausification, [status(esa)], [t10_finsub_1])).
% 16.23/4.43 cnf(c58, plain, X0(X1) | in(sK59(X1),X1), inference(clausification, [status(esa)], [t10_finsub_1])).
% 16.23/4.43 cnf(c59, plain, X0(X1) | ~in('set$uunion2'(sK58(X1),sK59(X1)),X1) | ~in('set$udifference'(sK58(X1),sK59(X1)),X1), inference(clausification, [status(esa)], [t10_finsub_1])).
% 16.23/4.43 cnf(c61, plain, ~in(X0,X1) | element(X0,X1), inference(clausification, [status(esa)], [t1_subset])).
% 16.23/4.43 cnf(c74, plain, 'set$uunion2'(X0,X1) = 'symmetric$udifference'('symmetric$udifference'(X0,X1),'set$uintersection2'(X0,X1)), inference(clausification, [status(esa)], [t94_xboole_1])).
% 16.23/4.43 cnf(c76, plain, ~element(X0,sK84) | ~element(X1,sK84) | in('symmetric$udifference'(X0,X1),sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.23/4.43 cnf(c77, plain, ~element(X0,sK84) | ~element(X1,sK84) | in('set$uintersection2'(X0,X1),sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.23/4.43 cnf(c78, plain, ~preboolean(sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 16.23/4.43 cnf(d0, plain, element(sK58(X0),X0) | 'Ts54'(X0), inference(resolution, [status(thm)], [c61,c57])).
% 16.23/4.43 cnf(d1, plain, element(sK59(X0),X0) | 'Ts54'(X0), inference(resolution, [status(thm)], [c61,c58])).
% 16.23/4.43 cnf(d2, plain, in('set$udifference'(X0,X1),sK84) | ~element('set$uintersection2'(X0,X1),sK84) | ~element(X0,sK84), inference(superposition, [status(thm)], [c52,c76])).
% 16.23/4.43 cnf(d3, plain, element('set$uintersection2'(X0,X1),sK84) | ~element(X1,sK84) | ~element(X0,sK84), inference(resolution, [status(thm)], [c61,c77])).
% 16.23/4.43 cnf(d4, plain, ~element(X0,sK84) | ~element(X1,sK84) | in('set$udifference'(X1,X0),sK84) | ~element(X1,sK84), inference(resolution, [status(thm)], [d3,d2])).
% 16.23/4.43 cnf(d5, plain, ~element(sK58(sK84),sK84) | ~element(sK59(sK84),sK84) | ~in('set$uunion2'(sK58(sK84),sK59(sK84)),sK84) | 'Ts54'(sK84), inference(resolution, [status(thm)], [d4,c59])).
% 16.23/4.43 cnf(d6, plain, element('symmetric$udifference'(X0,X1),sK84) | ~element(X1,sK84) | ~element(X0,sK84), inference(resolution, [status(thm)], [c61,c76])).
% 16.23/4.43 cnf(d7, plain, 'set$uunion2'(X0,X1) = 'symmetric$udifference'('set$uintersection2'(X0,X1),'symmetric$udifference'(X0,X1)), inference(demodulation, [status(thm)], [c74,c8])).
% 16.23/4.43 cnf(d8, plain, in('set$uunion2'(X0,X1),sK84) | ~element('symmetric$udifference'(X0,X1),sK84) | ~element('set$uintersection2'(X0,X1),sK84), inference(superposition, [status(thm)], [d7,c76])).
% 16.23/4.43 cnf(d9, plain, in('set$uunion2'(X0,X1),sK84) | ~element('set$uintersection2'(X0,X1),sK84) | ~element(X1,sK84) | ~element(X0,sK84), inference(resolution, [status(thm)], [d8,d6])).
% 16.23/4.43 cnf(d10, plain, in('set$uunion2'(X0,X1),sK84) | ~element(X1,sK84) | ~element(X0,sK84) | ~element(X1,sK84) | ~element(X0,sK84), inference(resolution, [status(thm)], [d9,d3])).
% 16.23/4.43 cnf(d11, plain, ~element(sK59(sK84),sK84) | ~element(sK58(sK84),sK84) | ~element(sK58(sK84),sK84) | ~element(sK59(sK84),sK84) | 'Ts54'(sK84), inference(resolution, [status(thm)], [d10,d5])).
% 16.23/4.43 cnf(d12, plain, ~element(sK58(sK84),sK84) | 'Ts54'(sK84) | 'Ts54'(sK84), inference(resolution, [status(thm)], [d11,d1])).
% 16.23/4.43 cnf(d13, plain, 'Ts54'(sK84) | 'Ts54'(sK84), inference(resolution, [status(thm)], [d12,d0])).
% 16.23/4.43 cnf(d14, plain, preboolean(sK84), inference(resolution, [status(thm)], [d13,c54])).
% 16.23/4.43 cnf(d15, plain, $false, inference(resolution, [status(thm)], [c78,d14])).
% 16.23/4.43 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------