%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV608+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:48:57 AM UTC 2026
% Result : Theorem 45.51s 6.07s
% Output : CNFRefutation 45.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV608+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 11:19:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.51/6.07 % SZS status Theorem for theBenchmark.p
% 45.51/6.07 % SZS output start CNFRefutation for theBenchmark.p
% 45.51/6.07 fof(Color.select_terminates, axiom, ! [X0] : (('cCoq$u2eInit$u2eDatatypes$u2enat$u$u$u24t'(X0) => ! [X1] : (('cColor$u2egraph$u$u$u24t'(X1) => ! [X2] : (('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X2) => ('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2echoose$u$u$u24a1'('cColor$u2esubset$u$unodes$u$u$u24a2'('cColor$u2elow$u$udeg$u$u$u24a1'(X0),X1)) = 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X2) => 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X2,X1)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',X1)))))))))).
% 45.51/6.07 fof(_HAMMER_GOAL, conjecture, ! [X0] : (('cCoq$u2eInit$u2eDatatypes$u2enat$u$u$u24t'(X0) => ! [X1] : (('cColor$u2egraph$u$u$u24t'(X1) => ! [X2] : (('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X2) => ('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2echoose$u$u$u24a1'('cColor$u2esubset$u$unodes$u$u$u24a2'('cColor$u2elow$u$udeg$u$u$u24a1'(X0),X1)) = 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X2) => 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X2,X1)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',X1)))))))))).
% 45.51/6.07 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('cCoq$u2eInit$u2eDatatypes$u2enat$u$u$u24t'(X0) => ! [X1] : (('cColor$u2egraph$u$u$u24t'(X1) => ! [X2] : (('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X2) => ('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2echoose$u$u$u24a1'('cColor$u2esubset$u$unodes$u$u$u24a2'('cColor$u2elow$u$udeg$u$u$u24a1'(X0),X1)) = 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X2) => 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X2,X1)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',X1))))))))), inference(negate_conjecture, [status(cth)], [_HAMMER_GOAL])).
% 45.51/6.07 cnf(c17, plain, ~'cCoq$u2eInit$u2eDatatypes$u2enat$u$u$u24t'(X0) | ~'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X1) | ~'cColor$u2egraph$u$u$u24t'(X2) | 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X1,X2)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',X2)) | 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X1) != 'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2echoose$u$u$u24a1'('cColor$u2esubset$u$unodes$u$u$u24a2'('cColor$u2elow$u$udeg$u$u$u24a1'(X0),X2)), inference(clausification, [status(esa)], [Color.select_terminates])).
% 45.51/6.07 cnf(c64, plain, 'cCoq$u2eInit$u2eDatatypes$u2enat$u$u$u24t'(sK86), inference(clausification, [status(esa)], [negated_conjecture])).
% 45.51/6.07 cnf(c65, plain, 'cColor$u2egraph$u$u$u24t'(sK87), inference(clausification, [status(esa)], [negated_conjecture])).
% 45.51/6.07 cnf(c66, plain, 'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(sK88), inference(clausification, [status(esa)], [negated_conjecture])).
% 45.51/6.07 cnf(c67, plain, ~'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(sK88,sK87)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',sK87)), inference(clausification, [status(esa)], [negated_conjecture])).
% 45.51/6.07 cnf(c68, plain, 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',sK88) = 'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2echoose$u$u$u24a1'('cColor$u2esubset$u$unodes$u$u$u24a2'('cColor$u2elow$u$udeg$u$u$u24a1'(sK86),sK87)), inference(clausification, [status(esa)], [negated_conjecture])).
% 45.51/6.07 cnf(d0, plain, 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X0) != 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',sK88) | ~'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X0) | ~'cCoq$u2eInit$u2eDatatypes$u2enat$u$u$u24t'(sK86) | ~'cColor$u2egraph$u$u$u24t'(sK87) | 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X0,sK87)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',sK87)), inference(superposition, [status(thm)], [c68,c17])).
% 45.51/6.07 cnf(d1, plain, 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X0) != 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',sK88) | ~'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X0) | ~'cColor$u2egraph$u$u$u24t'(sK87) | 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X0,sK87)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',sK87)), inference(resolution, [status(thm)], [c64,d0])).
% 45.51/6.07 cnf(d2, plain, 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',X0) != 'cCoq$u2eInit$u2eDatatypes$u2eSome$u$u$u24a2'('cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt',sK88) | ~'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(X0) | 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(X0,sK87)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',sK87)), inference(resolution, [status(thm)], [c65,d1])).
% 45.51/6.07 cnf(d3, plain, ~'cCoq$u2eFSets$u2eFSetPositive$u2ePositiveSet$u2eelt$u$u$u24t'(sK88) | 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(sK88,sK87)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',sK87)), inference(equality_resolution, [status(thm)], [d2])).
% 45.51/6.07 cnf(d4, plain, 'cCoq$u2eInit$u2ePeano$u2elt$u$u$u24a2'('cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset','cColor$u2eremove$u$unode$u$u$u24a2'(sK88,sK87)),'cCoq$u2eFSets$u2eFMapPositive$u2ePositiveMap$u2ecardinal$u$u$u24a2'('cColor$u2enodeset',sK87)), inference(resolution, [status(thm)], [c66,d3])).
% 45.51/6.07 cnf(d5, plain, $false, inference(resolution, [status(thm)], [c67,d4])).
% 45.51/6.07 % SZS output end CNFRefutation for theBenchmark.p
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